diff --git "a/data/dm_maths/full_data_1/10188_11255.jsonl" "b/data/dm_maths/full_data_1/10188_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10188_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common factor of 914 and 3165182.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.06 + -4.06. What is the third smallest value in 2\/5, -0.2, p, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702, 703, 704?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 234, 1\/20, -15?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152188005?\nAnswer: 5, 17, 31, 437263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10246617 (base 8) in base 12?\nAnswer: 893067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 2.05. Let z = -7.4 - -14. Let h = z - 1.6. Which is the nearest to -2\/5? (a) -5 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6341 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*x - 55 - 29. What is the smallest value in 2, -3, -1\/10, x, 110?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + 1 - (1250 + -1312)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:00 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/13 + 1044560*f**2\/13 - 10445750*f\/13 + 26114500\/13 = 0. Calculate f.\nAnswer: -522290, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5403000 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359191182?\nAnswer: 2, 3, 7, 467, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b + 1. Let s = -35 + 35. Calculate a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 241. Calculate the common denominator of 59\/33 and 10\/(-4) - x\/18.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1577834, 3155678, 4733520, 6311360, 7889198, 9467034?\n\"Answer: -v**2 + 1577847*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5457589 or -5457593?\nAnswer: -5457593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -98, -184, -328, -530?\n\"Answer: -29*u**2 + u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135551*f**4 - 216*f**2 - f - 403670372.\nAnswer: 542204*f**3 - 432*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 43 + 67 = 0. Suppose w - 4*l + 13 = 0, 5*l - 35 = 6*w - w. Let y be w\/((-75)\/96)*o. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(1\/6). Suppose 4*x = m*x + 204500. What is x rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q. Let y(d) = d. Let i(x) = r(x) - 5*y(x). Let b be i(-2). Is 112\/5 - (-4)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 130\/(-25))*(-15)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 29 (b) -3 (c) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1698*o**4 - 996*o wrt o?\nAnswer: -20376*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = 0. Suppose 0 = -2*u + 4*u, 5*o - 2*u + 5 = t. Which is the third biggest value? (a) o (b) -0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 1\/3 (c) 3 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4324196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-245))\/(297\/(-1155))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovocaaooooovcoayoo. What is prob of picking 1 a and 1 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 7. Give g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -45*z - 2197. Let p be l(-54). Solve 26*q + 467 - p = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:27 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h**2 + 107*h - 7. Give p(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.8 - 16. Let g = i - -1. Let y = 3 - 2.7. Which is the closest to -2\/7? (a) y (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443 - -446.74. Let k = 3.93 + 0.07. Let v = f - k. What is v rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 16) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110110000101000110000 - 10011?\nAnswer: -1101110110000101001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -10 - (-66 + (17 - -24)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 5*u**2 - 12*u + 11*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4772917923 rounded to the nearest 100000?\nAnswer: 4772900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**2 + 0*x + 2\/7.\nAnswer: -2*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4943149 to the power of 1\/2, to the nearest integer?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(147)\/(6*sqrt(7)*-2)*1)\/(-5*sqrt(70)\/(-4*sqrt(40)\/sqrt(4))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, -8, -34, -84, -164?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7784 * 1223\nAnswer: 9519832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -74181, -74155, -74111, -74049, -73969?\n\"Answer: 9*s**2 - s - 74189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 134. What is w(-26)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5\/5 + 108*u**4\/5 - 124*u**3 + 132*u**2 + 616*u\/5 - 768\/5 = 0?\nAnswer: -32, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 4*y + 4*y)*(-20 + 24 + 47*y + 1) to the form d*y + z + t*y**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2*1))\/((-70)\/(-700))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1124, -0.1, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3*b**2 - 2*b - b**2)*(-41*b + 4*b**2 + 78*b - 34*b).\nAnswer: 8*b**4 + 10*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/6 - 20*i**3\/9 - 32*i**2\/3 - 64*i\/3 - 482. Determine u so that h(u) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.223 + 1.777. Which is the third biggest value? (a) 0 (b) 2\/5 (c) m (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/8 and 61\/11803734?\nAnswer: 47214936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -65. Suppose -2 = r + 1. Let p be r*(-3 - (-15)\/9). Sort -1, d, p in descending order.\nAnswer: d, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 15, r: 2, f: 2}. What is prob of sequence qq?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 506630393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 3. Suppose -4*v = v + 15. Let y(g) = 3*g**2 + 5. Calculate v*y(a) - 5*c(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1477 - -3125?\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -69*x**2 + 60*x + 57. Determine i(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 5. Let m be t(10). Suppose -58*f + m*f = -9. Calculate the remainder when (-3)\/(0 + f\/(-93)) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -914849012 and 0.4.\nAnswer: -914849011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4\/7*q**4 + 60\/7*q**2 + 32\/7*q**3 - 32\/7*q - 64\/7 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9 = -217*m + 220*m, -3*m = 4*v - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2 - 2) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 233*g**2 - 50*g + 113. Calculate the lowest common multiple of s(2) and 21.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1054)\/(-40052))\/(24\/38)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 5*t - 30 = 0, 3*x - 45 = 4*t. Which is the third biggest value? (a) x (b) -4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56752 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1038, -1027, -1016, -1005, -994, -983?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493954 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 h when three letters picked without replacement from hlxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoojogoj. Give prob of sequence ojg.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*p = -35, i - 3 = -9*p + 4*p. What is the nearest to i in -3, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 725447*x + 8705383. What is f(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v + 2. Let y be x(2). Suppose -13*k - 3 = -14*k. Put y, k, 1 in decreasing order.\nAnswer: k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 3. Let g be (-15)\/(-6)*(-1)\/(-5). What is the nearest to g in d, 4, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {p: 11, m: 3, b: 1}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 13) in base 9?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -126*b - 2*b**3 - b**2 + 67*b + 3 + 62*b. Determine l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48977155783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26415*p**3 + 26415*p**3 - 52836*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9119954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 - 0.34. Let d = 0.1 + 0.38. Let w = d + h. Is w > 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**3 + 441*c**2 + c + 39. Calculate n(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1453\/3 + -489. Which is bigger: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 4*a**3 + 5*a**3 + 0*a**3 + 2*a**3 - a**3 + 3*a - 3*a - a**3 + (-1 + 1 + a**2)*(5*a - 3*a - 3*a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -586294 <= -586294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 345 = 5*u + 24, 4*f - 291 = u. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 495504 or 495494?\nAnswer: 495504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 11962880*k - 35777624473600 = 0. Calculate k.\nAnswer: 5981440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - (-6 - (-23 - -10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 224419 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 871, 875, 879, 883?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -62. What is the second smallest value in 0.4, -4\/5, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 2780 + 23270 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000699595 to six dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlzmmrzrsrlm. Give prob of picking 2 z and 1 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 1 + 0*z + 1162*z**2 - 1174*z**2. Calculate n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38078195 divided by 38078195?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461 + 484. Calculate the remainder when 106 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2930*d*m + 520*d + 5709*m - 19 wrt d.\nAnswer: 2930*m + 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:56 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010141154 rounded to five decimal places?\nAnswer: -0.01014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 - 11675*y**2 - 2 + 11670*y**2. Let a(q) = 6*q. Determine r(a(g)).\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113296 is divided by 312?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 + -147. Suppose 0 = -x*a - 2*l + 1194, 3 + 2 = l. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19\/3))**(3\/13)*l**(-9\/5)*l*l\/(l\/l**38) assuming l is positive.\nAnswer: l**(2323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66946*a = 3*h + 67013*a + 90, 4*h + 120 = a for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1386*n - 7 - 2783*n + 1398*n. Let j(r) = -4*r. Give c(j(b)).\nAnswer: -4*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10108 is divided by (-276)\/(-27) + 1 + (-8)\/108*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -12. Let u = s + 22. Calculate the remainder when 32 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12687 is divided by 423.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w - 210 = 0. Suppose o - w = -0*o. Calculate the smallest common multiple of (-28)\/o + 20\/3 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 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: Is 39182051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {t: 2, d: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**3 + 204*q + 82489 - 100*q - 104*q - 82489.\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -331707 and -0.97.\nAnswer: -331707.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + (-15 - -17) + (18 - -5 - 55)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {g: 2, y: 4, x: 2, w: 1, s: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69039 is divided by 1381.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 90 = -0*y. Let b = 98 - y. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*a - 17, 4*a = -3*b + 3*a + 13. Suppose 0 = -5*h - 3*g + 43 - 14, -g + 15 = b*h. Solve 5 = h*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 3. Suppose 5*c - w = 3*c. Solve 4*x + 13 = -c*l + l, -5*l - 5*x = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340402113 (base 5) to base 9.\nAnswer: -6437807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + 72. What is the remainder when h is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -2. Let s = r - -16. Suppose -3*f = -3*z + s, 10 + 0 = -z + 5*f. What is the remainder when 13 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 8*z - 40*z**2 - 6*z**3 + z**3 + 11*z**4 - 3*z**5 + 25*z**2 + 4 = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u - 3660. Is 6 a factor of u\/(-20) - 6\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**2 - 97*q + 6. Let l be s(-10). Let k = l + 497. What are the prime factors of k?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -230 - -1114864?\nAnswer: 1114634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51536, 206122, 463774, 824498, 1288300, 1855186, 2525162, 3298234?\nAnswer: 4174408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 + 738*s**3 - 54568*s**2 - 33617952*s - 67011712 = 0. What is s?\nAnswer: -164, -2, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 297 + 33 = 5*n, 0 = -n + r + 70. Calculate the greatest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -516c4c5 - -1?\nAnswer: -516c4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-15)\/(v\/v**(-1\/4)*v*v**(-2)))\/((v*v*v**(1\/2)*v*v)**(15\/8)\/(v**1\/v)**(-27)) assuming v is positive.\nAnswer: v**(-619\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -133, -360, -777, -1450, -2445, -3828?\n\"Answer: -11*k**3 + 4*k**2 - 38*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9243111?\nAnswer: 3, 3081037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 175*y**2 - 4464*y + 17820.\nAnswer: (y - 18)*(y - 5)*(y + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2 = 2*w, 2*w = 1 + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10. Suppose g = 10*f + 141 - 1021. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 503 + 100?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + 6 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.0987642 - 8.1. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -155. Suppose 6 = 2*z, 6*z - 55 = -2*j + z. List the prime factors of -340*(c\/j)\/((-4)\/(-16)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456 + -406. Suppose -14 = -c + 3*h + 7, 4*h + 4 = 0. Calculate the remainder when j is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1671*m - 409*m + 2*m**3 - 408*m - 411*m - 424*m.\nAnswer: 2*m**3 + 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(468)*-2*4 - sqrt(468)))**2.\nAnswer: 108*sqrt(13) + 37909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:54 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57894292 divided by -28947146.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.01 + -5.6. Let u = h + -0.61. Let m = 0 - 0. Which is the closest to m? (a) 0 (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-6) + (-2)\/4. Let f(a) = 2*a - j + 1 + 4. Calculate f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**7\/14 - 13*x**6 - 960*x**5 - 35840*x**4 - 655360*x**3 - 3145728*x**2 + x + 35. Factor c(n).\nAnswer: -3*(n + 2)*(n + 32)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18869 + 2?\nAnswer: -18867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10306 + -10284. Solve -g = -4*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13604 and 73872.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 4*p + 12, 5*i - 13 = 4*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = 16*b + 709. Solve b*o + 24 = 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 7) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 27*a + 12. Let p be 376\/(-14) - 6\/((-336)\/(-8)). Let f be o(p). Solve 0 = 4*z + 8 + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/189 and 155\/76104.\nAnswer: 228312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*d - 10 = 0, -2*y - 5*d + 2*d = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3424, -6847, -10268, -13687, -17104, -20519, -23932?\nAnswer: -27343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wppwwpwwwwwpp?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11122763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-2 + sqrt(12)\/(-2*sqrt(6)) - (4 + sqrt(6)\/sqrt(3) + 4).\nAnswer: -47*sqrt(2)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39464.65 weeks to minutes.\nAnswer: 397803672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-69)*23*(3 - 2). Factor 0 - 2\/3*m**2 - 4\/3*m**4 - r*m**3 + 0*m.\nAnswer: -2*m**2*(m + 1)*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (4 - 5) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 84, 86, 88, 90?\n\"Answer: 2*v + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + -6 - (-1 + 4). Suppose 23*g = 24*g - h. Let c(q) = -q**3 + 2*q**2 + q. What is the remainder when g is divided by c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 0*d**4 - 6*d**4 + (-153 - 160*d**3 + 153)*(-2*d + 3*d + 2*d).\nAnswer: -484*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 - -0.02. Let p = -6 - -2. Let o = 1387\/8 + -173. What is the closest to 1 in o, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**3 + 3*u**2 + u. Let b(h) be the second derivative of -9*h**5\/20 - h**4\/3 - h**3\/6 + 8*h + 1. Determine -3*b(l) - 4*i(l).\nAnswer: -5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 7 = -5*v + 6*v, 5*v + 35 = -4*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 2*f**2 - 2. Let u = 3 + -2. Let m = 3 + u. Is a(m) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450725 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13615564337 rounded to the nearest one million?\nAnswer: -13616000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 5*p - 5*p)*(-4*p - 7*p - 3*p) + (p - p - 2*p)*(-2*p + 1 - 1)*(5*p - 5*p + 4*p).\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*a**3*d - a**3 - a**2*d + 48*a**2 - 21028*a*d**2 + 4*a + 1183 wrt d.\nAnswer: -17*a**3 - a**2 - 42056*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22540, 45081, 67622, 90163?\nAnswer: 112704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2164 divided by -2.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(42) + sqrt(168))\/sqrt(7) - sqrt(6) - sqrt(6)))\/((sqrt(12) + -2*sqrt(768))\/sqrt(4)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -35*n**2 - 34*n. Let f be g(-1). Let h(a) = -17*a**3 - a**2 - a. Calculate h(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**3 - 10*t**2 + t + 2. Let n be -5 + -1 + (10 - 1). Let s(i) = 2*i**3 - i**2 + i - 1. Let w(x) = n*s(x) - o(x). Determine w(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -178566.\nAnswer: -1\/29761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5*(-2)\/16*-10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + -0.3. Let r = -0.7 - a. Let k = 4.3 + -4. What is the nearest to -1 in r, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 443*z**2 - 441*z**2 + 15*z)*(-6*z**2 + z**2 - 4*z**2) + z**4 + z**4 - 3*z**4.\nAnswer: -19*z**4 - 117*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400*v**5 - 38405*v**4 + 100880*v**3 - 96210*v**2 + 31400*v - 65 = 0. What is v?\nAnswer: 1\/480, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 1, -98, 0.3, -9 in decreasing order.\nAnswer: 3, 1, 0.3, -7, -9, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - o. Suppose -3*p + 2*m + 215 = 0, o = -2*m + 2 - 10. What is the common denominator of (-19)\/135 - (p\/15 - 5) and -137\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -17*s**2 - 9*s. Let u(h) = -8*h**2 - 4*h. Let i be ((-2)\/4)\/(((-152)\/112)\/19). Calculate i*u(v) - 3*p(v).\nAnswer: -5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 148*w + 881. What is i(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -17.229079.\nAnswer: 86.145395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-2)\/3. Suppose l = 5*o - 5*c - 35, -o = 4*c - 0*c + 3. Suppose -v = -3*v + 30. Solve 0 = 4*h + 3*m - 7 - 4, -v = -5*h - o*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = 6. Suppose k*g + 2 = -2. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (8 + -14) - (0 + -16) - 10 - 54\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 478 + 48 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18+22.778\nAnswer: 40.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 1 - -7) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055476 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*z = 151 - 125, 0 = -2*c - z + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 at least as big as 309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 19 = -f + 1, -9 = 3*t. Let n = f + -3. Solve 4 = n*s - 3*y + 14, -2*y - 8 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**3 - 33*s**2 + 24*s - 32. Calculate d(5).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13134461 times -0.06\nAnswer: -788067.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/30 and 73\/708.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/((-3)\/6). Let o be (-1 - -5 - 1)\/q. Let f(i) = -i**3 + 2*i**2 + 3*i + 3. Determine f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/16)\/(708\/2419)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14057 - -14350. Calculate the remainder when a is divided by 156.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**6\/5 + 157*f**5\/20 - 13*f**4\/3 - 3*f**2\/2 - 140*f + 22. What is the third derivative of r(g) wrt g?\nAnswer: 144*g + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1314786 and 393.\nAnswer: 172236966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -120*r + 488. Calculate k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2844000 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2. Let j(l) be the first derivative of 0*l**2 + 0*l + 34 + 7\/3*l**3. Calculate n(j(f)).\nAnswer: 245*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 4) to base 15.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/(-805)*(-777)\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 348 = -3*l, 2*l + 5*f - 93 = 111. Let j(b) = -493*b + 13343. Let o be j(27). What is the greatest common divisor of o and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 - 3)) + -3 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/10)\/(-3) + -1. Let w = -23.5 + -6.5. Let y = w - -33. Which is the nearest to y? (a) 3\/5 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 5 = -4*g - 4*w, 4*g + 2 = -2*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmtnmhf. What is prob of sequence nm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 3*j + j)*(-3 - 613*j + 3).\nAnswer: 1226*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 1793*p**2 - 9029*p**2 - 4080*p**2.\nAnswer: -11316*p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 6311, -5\/2, -3\/4, -0.2, 1\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4835955 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m**2 - 307*m - 111. Calculate the remainder when b(18) is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12311*j**2. Let t(n) = -n. What is m(t(w))?\nAnswer: -12311*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 1110*p - 1107.\nAnswer: -3*(p - 369)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 26 (b) -2\/11 (c) -17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*r**3 - 2210 + 2210)*(-5*r + 0*r + 2*r - r - 4*r).\nAnswer: 512*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*73192.9\nAnswer: 146385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/9)*s**(4\/3)*s\/s**5*s*(s\/(s*s**(12\/5)*s)*s)\/s assuming s is positive.\nAnswer: s**(-233\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -34. Let z be (r + 6\/(-21))*-14. Solve m = -z*y + 5*m + 20, -m = -3*y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**4\/9 + 62*s**3\/9 + 22*s**2\/9 - 16*s\/3 = 0 for s.\nAnswer: -1, 0, 3\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 106*f + 577. Let q(j) = -21*j - 105. Let n(y) = 2*l(y) + 11*q(y). Suppose 3*k = -15, 19 = -4*m - 7*k + 4*k. Calculate n(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 2250*y**4 + 4480*y**3 = 0. What is y?\nAnswer: 0, 2, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432 take away -249.6808?\nAnswer: 6681.6808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 5. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Let m(g) = -3*g + 3*g - 3*g + s*g. Let b(j) = -16*j. Give m(b(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 124?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 84, 3 in decreasing order.\nAnswer: 84, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqqd when four letters picked without replacement from {f: 3, y: 1, p: 6, q: 4, m: 4, d: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:49 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b**2. Let q(r) = -4316*r**2 + 416*r - 416. Let s(y) = 52*y**2 - 5*y + 5. Let h(m) = -5*q(m) - 416*s(m). What is h(w(p))?\nAnswer: -32500*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 + 2 - 2 + (2*h**3 - 2*h**3 - 2*h**4)*(3*h + h - 3*h) + 218*h**2 - h**5 - 133*h**2 - 131*h**2 + 0*h + 0*h - 2*h**5.\nAnswer: h**5 - 46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -209409, -419332, -629255, -839178?\n\"Answer: -209923*t + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 93. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -421, -421, -431, -457, -505, -581, -691, -841?\n\"Answer: -n**3 + n**2 + 4*n - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 3*t - 2*t - t**2. Let n(k) = -8*k. Give j(n(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7921\/3 - 2640. What is the biggest value in -2\/7, y, -161?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e160c + -8e?\nAnswer: -e169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13371928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.111 and 6697759.\nAnswer: 6697758.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337025 by 25925.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 19396?\nAnswer: 58188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.06 + -41.06. Let j = -0.3 - -0.31. Which is the nearest to 0? (a) 0 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 193620281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10394 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 19?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/19? (a) 4 (b) 3126 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/5 + 878*y**4\/5 + 8546*y**3\/5 - 14718*y**2\/5 - 56628*y\/5 = 0. What is y?\nAnswer: -429, -11, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaapaaaaaaaaaaap. What is prob of sequence apaa?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 8, 23, 42, 65, 92, 123?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/50)\/((-1)\/10). Let p = -25 + c. Suppose 4*z + 44 = -4*b, 3*b = 5*z + 5*b + 43. Is p at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18546, 37090, 55634, 74178, 92722, 111266?\n\"Answer: 18544*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -49*v + 1057. Calculate the lowest common multiple of x(17) and 264.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:17 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-7) - 58\/14. Let h(t) = 2*t**2 + 6*t + 7. Let s be h(-2). Suppose 10*j + 2*a = 5*j - 45, 5*a = -25. Sort s, j, r.\nAnswer: j, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:54 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -1241, -3655, -8271, -15821, -27037, -42651, -63395?\nAnswer: -90001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 74*f = -622 + 72 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 1\/11 (c) 2\/1451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12435 - 10165. What is the smallest common multiple of q and 65?\nAnswer: 29510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4199650*x**2 + 1318726 with respect to x.\nAnswer: -8399300*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 37, -1, 0.8, 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2251978 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200550, -802150, -1804850, -3208644, -5013526, -7219490, -9826530, -12834640?\nAnswer: -16243814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -39*h - 2691. Let l be z(-69). Let q(v) = 2*v**2 + v + 1. Let p be q(-2). Suppose p*c - c - 11406 = l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7096 and -1.\nAnswer: -7097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 40, 78, 156, 286?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 5*x, x = 0. Suppose -3*d + 69 + 267 = g. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230 + -1118. Let f(h) = h**3 + 6*h**2 + 3*h. Let w be f(-5). What is the remainder when r is divided by ((-285)\/w)\/(2\/(-4))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 190*w - 36. Let l(b) = -38*b + 7. Let o(q) = -11*l(q) - 2*u(q). Is 12 a factor of o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*b + t - 0*t, -2*b + 4*t + 24 = 0. Let d be (b\/(-12))\/((-2)\/6). Put 4, d, -1 in increasing order.\nAnswer: -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4\/27, -3\/8?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00372356 rounded to five dps?\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, v: 1, x: 7}. What is prob of sequence vxe?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5272*l**2 + 243*l**2 + 3955*l**2 + 924*l**5 - 178*l**5 - 12651*l**5 wrt l?\nAnswer: -714300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 + 2*i**5 + (0*i**2 - i**2 - i**2)*(0 + 0 - 3*i**3 - 2*i).\nAnswer: 8*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -878 divided by 2.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 2, h: 11}. What is prob of sequence nhjn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7398653*h**3 - 388507*h - 24 wrt h.\nAnswer: 44391918*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7825?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4106 (base 7) to base 14\nAnswer: 73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -71 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 62426735?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(30)\/(3*sqrt(6))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:28 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 16 + 33 + 14*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**3 - 29*f**2 + 102*f + 323. What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 8710 - 2110. Solve 0 = 6*x + b - 348 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 4.7. What is w rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 = -5*m - 1134*d + 1206*d, 0 = 5*m - 4*d - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3*d + 2. Let h be j(4). Suppose 5*v - 12 = -v. Solve -z - 8 = v*l + 2*l, 3*z + h = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5840, -5844, -5850, -5858, -5868, -5880, -5894?\nAnswer: -5910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2401 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-40) + (-126)\/(-10). What is the units digit of (3\/12)\/(1\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2080 and 467090.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z + m - 19, -2*z + 4*m = -14. Suppose -2*j - 8 = -0*j. Suppose -2*i - 15 = 4*b - i, 35 = -2*b + 5*i. Sort j, b, z.\nAnswer: b, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/6 - 15*d**2 + 141*d + 8. Let x(c) be the first derivative of v(c). Calculate x(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 443, 444, 445?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-10) + 4\/20. Let j = t - 1. Suppose b = j*b + 70. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-15 - (-4 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and (888\/44)\/(-2 + -2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*t + 3 = 9, t - 2 = -z. Find h such that -4\/3*h**4 - 8\/3*h**3 + 0*h - 4\/3*h**z + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12607131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4753 divide 188733047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8\/l)\/l)\/(l**(-4)\/l)*(l*(l**8\/l)\/l)\/l**(-4\/9) assuming l is positive.\nAnswer: l**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) -0.4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111011 and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/47 - -51\/94. Let b(n) be the first derivative of 2 + 0*n + 1\/4*n**4 + 0*n**3 + x*n**2. What is the second derivative of b(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 44*i**3 - 20*i - 9. Let k(w) = 44*w**3 - 22*w - 11. Let o(r) = -11*h(r) + 10*k(r). Let d(x) = -9*x**3 - 2. Give 11*d(g) - 2*o(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (0 + -4)) + -4 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.62357\nAnswer: -1.87071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*j + 16026*d**4 + d**3 + 8*d**2*j - 2*d**2 + 36*d*j + 3*j wrt d?\nAnswer: 24*d*j + 384624*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373600 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l - 2. Let h(p) = -78*p + 35. Let j(w) = 3784*w - 1694. Let n(z) = 242*h(z) + 5*j(z). Give o(n(q)).\nAnswer: -704*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p**5)\/(p**0)**1 assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(0*b - 5*b + 2*b) + (0*b + b + 0*b)*(-4 + 5 + 0) - 3*b + 4*b - 3*b - 4 + 2*b + 4 - 30*b - 129 + 129 to a*b + s and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -2*o + 620. Let n be o\/132*6\/(-5). What is the smallest value in 11, -0.1, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12766, -12765, -12764, -12763, -12762, -12761?\nAnswer: -12760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.25 - -21.25. Put -34, -1, v in increasing order.\nAnswer: -34, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 + 42 = 0. What is the third derivative of 5*f**6 + 0*f**2 - 2*f**6 + l*f**2 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p**2)*(p**2 + 3*p - 3*p) - 6 + 4*p**4 + 6 + (p**3 - 2 + 2)*(p + 2*p - 2*p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(171)*-1 + -3 - sqrt(171) - sqrt(171) - (sqrt(171) + sqrt(171) + (5 + 1 + sqrt(171))**2)) + (4*(1 + sqrt(171)))**2 + (-1*sqrt(171)*5)**2).\nAnswer: -34085 - 225*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22 + 3*f + 38 - 16 + 7*f**5 wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2414 divide 371369760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 + -1 + -5)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*z + 3*y - 5, -37 = -5*z - 3*y. Let s be 1\/4 - (-542)\/z. Suppose 3*d + s = 7*d. Solve 4*h - 5*h = -5*p - d, 0 = 4*p - 5*h + 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -757701 (base 9) to base 3.\nAnswer: -211221210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76189933 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-85) - (-2 + (-12)\/(-5)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -3, -0.4, -2, 2\/113, -69 in ascending order.\nAnswer: -69, -3, -2.3, -2, -0.4, 2\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 30. Let c = v - -3. Let d = -164\/45 - -22\/9. What is the biggest value in c, 1\/6, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 778.5 - 1443. Let y = i - -666. Sort y, -4, 13.\nAnswer: -4, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + (6 - 14 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*k - 3*b - 18, 2*b = -10. Suppose -2*h = -8, 0 = k*t + h - 8. Put t, -3, 5 in decreasing order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - h**2 - h. Let j be o(-1). Let b(d) = d**3 - 2*d**2 - 7*d + 2. Let k be b(j). Solve -3*l + k*l - 8 = -2*i, -2*i - 24 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-3 - 45\/(-12)). Let d be s\/(-12)*(-3)\/(-2). Suppose -4*c - o + 220 = -0*c, 4*c = d*o + 232. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394 (base 12) to base 10.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4853 + 645*z + 4853.\nAnswer: 645*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let v(i) = 4 + 0 - 5. Let k(l) = -5*l - 20. Let d(r) = -k(r) + 20*v(r). Determine b(d(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 0, -58, -0.7 in increasing order.\nAnswer: -58, -0.7, 0, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -16 + (4 + -27 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.52 and -48185.27.\nAnswer: -48172.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -200222 (base 5) to base 6\nAnswer: -45120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**24*(d*d**8*d*d)\/(d**(-3\/2)\/d*d*d*d) assuming d is positive.\nAnswer: d**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32021 - 30201?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 10*w - 22. Calculate h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {b: 1, v: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583 and 318?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -88. Calculate the common denominator of (57\/4)\/((-528)\/o) and -143\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 1b?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2 - (26 - (14 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 110363334?\nAnswer: 110363332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g**5*g)\/g*g)*(g\/g**(-6\/7))\/g*g*(g**(2\/3))**(-1\/5) assuming g is positive.\nAnswer: g**(-449\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -w, -k = -4*w - 2 + 23. Let u be (0 - -1)*6\/6*-50. Let c be (-60)\/20 - u\/6. Is w at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2523, 1, -4, 5.\nAnswer: -2523, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 9 = -9. Let c(y) be the third derivative of 13*y**2 - 1\/105*y**5 + i - 1\/14*y**4 + 0*y + 0*y**3. Determine m so that c(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*y + 42877 = 13982, 2*y = -3*k + 17337. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from {k: 2, b: 1, s: 4, m: 3, l: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, n: 1, e: 2, v: 2, x: 1, j: 4}. What is prob of sequence xeie?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - 21 - 7*-1. Suppose 2*z = c*z - 8. Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8) + (0 - 42\/80)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1044, -1060, -1076, -1092, -1108?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, c: 1, w: 4, s: 2, a: 2}. What is prob of picking 1 a, 1 e, 1 c, and 1 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -a538737?\nAnswer: a538733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30934530.2 - 1.2.\nAnswer: -30934531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 5, -1 in decreasing order.\nAnswer: 5, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 59, 119, 201, 311?\n\"Answer: g**3 + 2*g**2 + 31*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Let g = -285 + 285.1. Which is the closest to g? (a) -2\/7 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -41. Let o = 22 + c. Let v be (-2 + 4)\/2 + 5. What is the highest common divisor of v and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 5*o - 130. Solve 0 = -12*j + o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683421 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2500200 (base 6) to base 3\nAnswer: -20201102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00087672 to six decimal places.\nAnswer: 0.000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 - -15?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 4, -2396, 9.\nAnswer: -2396, -8, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9985, -19959, -29921, -39871, -49809, -59735, -69649?\nAnswer: -79551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 307861.5 centuries?\nAnswer: 30786.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/2 of a micrometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8465 = -2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 68 + p + 2*p.\nAnswer: 3*p - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 12. Suppose -5*k - 41 = -2*o, -70 + 68 = o. Let y be -3*1 + (f - k\/(-3)). Solve 5*w + 2 = -4*d, -5*w + y*d + 3*d + 19 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzvvv. Give prob of picking 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 divided by -36?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4665)\/(-41985)*63\/(-10)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111100010010001 (base 2) to base 5\nAnswer: -1441430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*h**3*t**2 - 5*h**3*t + 1261*h**3 - 2 with respect to t.\nAnswer: 698*h**3*t - 5*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428.027 rounded to the nearest ten?\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8790499?\nAnswer: 139, 63241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 38 - 232 = 0. Suppose 2*u - 45 = -3*b + 4*u, 2*u - n = -3*b. Solve -b - 9 = 4*l - 4*p, -4*p = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12691, 23981, 33867, 42349, 49427?\nAnswer: 55101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 327 = -4*o, 2*i + 0*o + 141 = -5*o. What is the tens digit of i\/(-4) + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 665, 1050, 1471, 1928, 2421?\nAnswer: 2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 867 + -683. Suppose 175 = -n + x. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128\/(2 - -2) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.9 + -34.065. Round d to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/2 - (-3276)\/(-1008)) + 314\/8. Solve f*v + 65 = 27*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - (-5 + (5 - -22) + -8).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = 4*m + 2095, -3*q + m - 3112 = 0. Let w = 9298\/9 + q. Find the common denominator of w and 151\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18035.\nAnswer: 5, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 1.4. What is the smallest value in x, 0.7, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 4*a. Let v be (2 + 4)*(a - 4). List the prime factors of (-24)\/(-3)*21\/v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7 + 7*o - 6 - 5*o. Let f be j(-1). What is the remainder when (-5 - (f + -3))\/(4\/(-100)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.9. Let w = j - 0.1. Let p = 18.26 + -23.26. What is the nearest to -1 in -0.5, p, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105852645 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-1100) + (-12)\/40.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7045673*v**2 + 9598260?\nAnswer: 14091346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1680.999877268 - 1681. Round d to seven decimal places.\nAnswer: -0.0001227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 204*r + 43*r**2 + 264*r + 4 - 60*r.\nAnswer: 43*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80367.32 rounded to the nearest ten?\nAnswer: 80370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 30. List the prime factors of -5*(0 - -2)*(-2)\/f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/149 + -157\/596. Which is the nearest to z? (a) -2\/9 (b) 2\/15 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1481 greater than -1349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3 + 16 + -6. Let d(q) = q**3 - 8*q**2 + 7*q + 2. Let k be d(g). Is (k\/6)\/(2\/306) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15*y**4 + 11*y**3 - 45*y**2 - 30*y. Let c(g) = -5*g**4 - 4*g**3 + 15*g**2 + 10*g. Let a(o) = -11*c(o) - 4*s(o). What is l in a(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*r - 14, -3*r + 2*p + 4 = -7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 3*z + 40, -2*z = -p + 15. Let d(w) = -2*w + w**3 - 3*w + 6 - p*w**2 + 2*w. Suppose -3*v = 3*r - 5*r + 7, 5*v = 5. Give d(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.2, 1\/1468, -3\/7, 0, 1 in increasing order.\nAnswer: -15.2, -3\/7, 0, 1\/1468, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*r - 605*r - 3430 = 603*r - 1734*r for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 124.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -306.32 + 216.4. Let g = q + 90. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:54 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 1, r: 2, j: 8, b: 1, q: 2}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457*b - 7759 = 10438 + 13960 + 9612 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -417511023 divided by 2281481?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -75*p**2 + 3*p - 1. Let l be v(3). Let n = l + 685. What is the greatest common factor of n and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 2*l**2 + 3*l**2 - 2*l**2 - 3*l**2 + 4*l**2 + (2*l + 4 - 4)*(-l + 0*l + 0*l) - 2*l**2 + l**2 + 2*l**2 + (-7*l + 5 - 5)*(3*l - l + 0*l).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2286867*v**3 - 25*v**2 + 26139.\nAnswer: -13721202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(9\/2)\/n**(1\/10))\/(n\/n**(-1\/27))**(-13) assuming n is positive.\nAnswer: n**(2414\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**27)**(2\/57)\/(((m*m\/(m**0\/m))\/m*m**(1\/6))\/((m**(1\/2)\/m)\/((m**1\/m*m)\/m*m))) assuming m is positive.\nAnswer: m**(-263\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 1. What is f(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 589 and -15?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w**3 + w + 1. Let v be t(-1). Suppose 0 = 2*u - v. Suppose 0 = n + 4*n - 35. What is the least common multiple of u and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 9. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3042)\/(-13520) + ((-75)\/40)\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 1\/155?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 297*o**2 - 399*o - 39478. Give c(-99).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 694*z**2 - 30574*z + 31270 = 0.\nAnswer: -295, -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 5*m + 27. Suppose -q + 2*q - 6 = 0. What are the prime factors of b(q)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 478 = -5*f, -4*f + 248 = 4*a - 160. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27192, -28592, -29992?\n\"Answer: -1400*z - 25792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1246*v = 1255*v - 45. What is the remainder when 7 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*g - 7*f**2 + 17*f*g - 4*g wrt f.\nAnswer: 6*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {u: 6, s: 7, d: 6, y: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 + 2191\/17. Let p be ((-160)\/330)\/(4\/(-378)). Let y = p + -46. Which is the third biggest value? (a) 0.3 (b) -4 (c) r (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 29. What is k in -1\/4*k**2 + 1\/4*k**4 + 0*k**3 + s + 0*k = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 21 + 40 - 19 + 13*f**2 in the form o*f + u*f**2 + m and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104579*k - 303839*k + 20 - 24 + 2832228*k.\nAnswer: 2632968*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 197408819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - -93. What is the remainder when t is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.2625294 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 326303?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1263, -4838, -10767, -19026, -29591, -42438, -57543?\nAnswer: -74882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 51. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:50 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000270092 rounded to 6 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003372741 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51460.71 nanometers to kilometers.\nAnswer: 0.00000005146071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*(-4)\/(-3). Let b be (4\/(-12))\/(y\/(-6)). Solve b = i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 + 111 = -26*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 18. Let u be (-758)\/(l + 52\/(-8)). Let t = u + -216. What is the second smallest value in 1, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -m - 31, f = -5*m - 96. Let z = -15 - m. Which is the closest to 0.1? (a) 3\/2 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (2 - (-2 + 2)). Let s = 6 - u. Suppose 5*c = -0*c + 20. Solve s*o - c*q = -2, 3*o + 4*q + 21 = q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 27. Calculate the least common multiple of x and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -31\/6. Suppose -24 = 3*m - 3*g, -2*g = m - 2*m - 13. Let l be ((28\/m)\/7)\/(-3). Which is the third biggest value? (a) l (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-64)\/(-11) + (-12)\/(-66)). Let j be (((-13)\/(-3) + c)*15)\/1. Let a(p) = j*p + 3*p - 13*p + 7*p. Let o(f) = -29*f. Calculate a(o(r)).\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -3395\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -400 + 246. Let i be 3\/(2 - (q\/(-8))\/7). Let u = -2 - -4. Which is the nearest to -2\/5? (a) u (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u + 3. Let c be y(0). Suppose 3*a - 706 = h, c*h + 835 + 1307 = 3*a. Is h\/(-6) + 14\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*t + 7, -103*t + 98*t + 16 = -6*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3583 + 0.4583. Which is the second smallest value? (a) 0.02 (b) -2\/7 (c) g (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 5, -4, 1, 29.\nAnswer: -19, -4, 1, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/42 + 45\/(-63))*(-15)\/(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l - 1. Let m(a) = a + 1. Let c(g) = -b(g) - 5*m(g). Suppose -s + 4 = -2*s. Is c(s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4612\/37 or -126?\nAnswer: -4612\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-5\/11)*z**6\/(z*z**3\/z) assuming z is positive.\nAnswer: z**(71\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*n - x - 67 = -0*n - 90, -4*n + 16 = 2*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 705723 - 1142?\nAnswer: 704571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*s + 228*s - 11806 = -3558 + 24952 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o**2. Let y(l) = 44974*l + 44658*l - 89195*l. Calculate j(y(q)).\nAnswer: -5156163*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, 47, -3, -8, 28, -2 in descending order.\nAnswer: 47, 28, 1, -2, -3, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 71.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50963 = -17*s - 12781. List the prime factors of s.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(2 - 1). What is the units digit of 2*4 - (d - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 20*m + 2*l - 65, -4*l = -16. What is the highest common factor of 171 and m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3155\/5558 - -3\/794. Determine h so that -2\/7 - 4\/7*h**3 + 0*h**2 + 2\/7*h**4 + s*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 5*x**4\/12 + 7*x**3\/3 + x**2. Let o(h) = h + 1. Calculate a(q) - 12*o(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2395077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/179135 and 119\/6200.\nAnswer: 222127400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpxv. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572 less than -6768708?\nAnswer: -6772280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 + 124*z**3 - 780*z**2 + 932*z + 1840 = 0?\nAnswer: -1, 4, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 43*t**2 + 3*t - 3. Let r be u(4). Let q(g) = -12 + 699*g + g**3 - r*g - g**2 + 13*g**2. List the prime factors of q(-11).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100781 is divided by 869.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -25. Let f(k) = 17*k**2 + k + 6. Let l(q) = 9*q**2 + 3. Let m(o) = w*f(o) - 11*l(o). Factor m(p).\nAnswer: 3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let b be (-38)\/57 + (-11)\/(-3). Let s(v) be the first derivative of 0*v**2 + 0*v + 2 - 1\/3*v**b. Give c(s(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.2, 159\/2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.6455005679 and -0.1.\nAnswer: 8.5455005679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -210034 (base 6) to base 14\nAnswer: -6210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.1. Let t = -1296 + 1285. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*y + 122, -p + 246 = 3*p - 3*y. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201335 or -14294796\/71?\nAnswer: -201335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 + 2*s**2 - 3*s + 2. Let w = -50 - -51. Calculate the least common multiple of n(w) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -802605054*y**4 + 42914362*y**2 + 4 wrt y?\nAnswer: -19262521296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8*4 - -26. Let t(k) = -7*k - 9*k + u*k - 6*k. Let c(o) = 14*o**2. Calculate c(t(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 22. Solve 0 = 3*g + t, 0 = -0*f + 3*f + 3*g + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/55 and -29\/9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008824 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = -h, 0*n - h - 1 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64179.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*d**2 - 64*d**2 + 9*d**3 + (-d**3 + 2*d**3 + 3*d**3)*(0 + 2 + 0) - 10*d**3 - 9*d**3 + 27*d**3.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960500.8 less than -53639?\nAnswer: -9014139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9.4. Let c = 0.6 + w. Let v = -4.1 + c. Is 2 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38489 is divided by 2954.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**2 + 4\/3*k**3 + 0*k + 1\/12*k**4 + 0. Let f(w) = 2*w + 9. Suppose 105*i = -113*i + 1308. What is i*f(g) - 7*q(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*j**4 + 0 + 2\/9*j**2 - 2\/9*j + 2\/9*j**3.\nAnswer: -2*j*(j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10778 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 15*v - 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 3, d: 6, k: 1}. What is prob of picking 2 p and 2 s?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Suppose m = h - 3*m - 13, 5*h - 20 = 5*m. Let u(c) = h - 8*c + 4*c - 1. Calculate u(k(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {k: 7, f: 10, q: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 147, -4.\nAnswer: -5, -4, 22, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2007, 5, 6, -2, 4, -14 in descending order.\nAnswer: 2007, 6, 5, 4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(784))\/(sqrt(392)*-6) - ((4*-2*sqrt(10))\/sqrt(5) - ((sqrt(4)\/sqrt(2))**2 + -5 - sqrt(2) - sqrt(12)\/(sqrt(24)\/sqrt(4)))).\nAnswer: -3 + 37*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 15 = 3*g, -d + 6*g - m*g + 97 = 0. What is the smallest common multiple of 20 and (d\/12)\/((-6)\/(-9))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.1? (a) -2\/23 (b) -1\/3 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 60, 95, 134, 177, 224, 275?\n\"Answer: 2*b**2 + 25*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 27. Let g = z - -24. Let f = 833 - 789. Calculate the highest common factor of g and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 2:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 5. Solve 5*v = -2*q - 31, 2*q + 11 + t = -2*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 1, u: 4}. What is prob of picking 4 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -3\/4 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 416953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by 1517?\nAnswer: 311\/1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 35. Suppose -n*a + 2475 = -680. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {z: 3, q: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -63 (c) 0.5 (d) -0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*a - 2*o, 0*a - a - 3*o = -16. Suppose g + p = 7, a*g - 2 - 17 = 5*p. Put g, -3, -2 in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -21111020001022?\nAnswer: -21111020000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:37 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10*v - 12 = 0. What is the common denominator of v\/8*107*2\/5 and 49\/438?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 714 = -n, 3*z + 2*z + 3*n - 3570 = 0. Suppose 56*w + z = 62*w. What are the prime factors of w?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116 - 1028 = 268*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. What is the common denominator of -37\/14 and (106\/9)\/(2 - o)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26871 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 274*f**2 - 269*f**2 - 11*f - 9*f - 42 + 17 = 0. Calculate f.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 + 139. Let f(g) be the first derivative of 3*g - 3 + 0*g**4 + 0*g**2 - 4\/5*g**5 + q*g**3. Differentiate f(c) wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l + 5 + 189*l**2 + 6 - 191*l**2 + (1 + 13*l - 1)*(l + 2*l + 0*l).\nAnswer: 37*l**2 + 5*l + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2\/23, -2.55, -1, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 72 = 15*g - 19*g - 8*t, 4*t = -70 - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9011 - 8991. What is the closest to -20 in 0.4, r, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/(-84) + -2*(-3)\/(-42). Solve o = i, -v = -4*i + i - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 3*f**2)*(-3 + 4 + 5).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-51)\/(((-3)\/1)\/(43 + -42)) and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/7353 and -29\/613075983.\nAnswer: 1839227949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4622, -9007, -16314, -26543, -39694, -55767, -74762?\nAnswer: -96679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t - 11. Let p be c(11). Suppose 0 = g - 0*x + 3*x - 26, 0 = 3*g - x - p. Suppose 2*l - g - 1 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373.594 + -0.594. Let i = n + -361. What is the nearest to 2\/5 in -4\/7, i, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 - (-5 - -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922.0759 years to decades.\nAnswer: 92.20759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 509.393 < 21.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279585 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: Is 205393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 821656 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -64?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**3 - p + 1. Let y be b(1). Suppose -2*j + 1 = -9. Solve 0 = -3*d - r + 6, j*d + r - 4*r - y = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867832?\nAnswer: 2, 7, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -20 + 22 + 51*b + 1 - 5. Let d(m) = -2*m**2. Let k(w) = -w**2. Let t(g) = 2*d(g) - 5*k(g). What is h(t(i))?\nAnswer: 51*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*b + 0 - 2\/3*b**4 - 18*b**2 + 6*b**3.\nAnswer: -2*b*(b - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:08 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -170, -377, -700, -1163, -1790, -2605, -3632?\nAnswer: -4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5638 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32367916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6237\/4 + 1574. Find the common denominator of d and 41\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 + -858.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from cmmvmcmmmmcmmmmdivm.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63130?\nAnswer: 2, 5, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (153 + 127 - 276 + 15*z + 6*z)*(2 - 1 + 0)*(-2 + 2 + 3) in the form s*z + o and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1 + 0 = 3*t, 4*t + 8 = -3*m. Let y be m\/(-3)*(-18)\/84. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 4*k**3 + 5*k**3)*(k + 2*k - 2*k).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/14)\/((28482250\/25410)\/(-59) - -19). What is u in -63\/2*u**2 + d + 3\/2*u**3 + 297\/2*u = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - ((-1 - -2) + (-40 - -44) + -18)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.66 * 1.85398.\nAnswer: 1.2236268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.4 (b) -0.06 (c) 4 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003307 to six decimal places.\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/(-1050))\/((-24)\/12*(-6)\/(-20))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i + 8. What is l(8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - 11*u**2 + 14*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -77, -123, -159, -179, -177, -147, -83, 21?\n\"Answer: n**3 - n**2 - 50*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-15) - 26\/(-60). Let x be 10\/(-4)*54\/(-170). Let r = 12\/17 + x. Which is the closest to -2\/9? (a) u (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**4 - 4*t**2 - 8. Let d(b) = -b**2. Let s(h) = -6*d(h) + k(h). Let v(i) be the first derivative of s(i). Factor v(f).\nAnswer: -4*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3965 - 643 = -7*f - 65*f. Solve -f = -30*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 95.16. Let f = 2017\/11154 + 1\/1014. Put -2, f, y in descending order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -41\/120*o**6 + 0*o + 1\/20*o**5 + 6*o**2 + 65\/6*o**3 + 0*o**4 + 8. What is the third derivative of r(c) wrt c?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -924368*h**2*v + 8*h**2 - 29*h*v - 4*h - 27745 wrt h?\nAnswer: -1848736*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34861337 divided by -7.\nAnswer: 4980191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n. Let p(k) = -84*k**2. What is p(t(s))?\nAnswer: -14196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1003*l + 1010. Let y(k) = 75*k + 6. Let f(p) = 15*p + 1. Let s(j) = -11*f(j) + 2*y(j). Calculate the remainder when s(-3) is divided by r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 6*g. Sort 32, 4, g in ascending order.\nAnswer: g, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 x when four letters picked without replacement from {y: 2, x: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2105 - 2090. Calculate the highest common factor of 1185 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 282256?\nAnswer: 3104816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.198557us?\nAnswer: 0.0000000003329325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:51 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86485947 and 4254?\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g + 4*g - g + 4 - 4 + (0 - 1 - 1)*(-2*g - 3*g + 3*g) + 30*g - 24*g + 39*g in the form i*g + h and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*q**3 - 8416*l*q**2 + 2*l*q - 112*q + 53 wrt q?\nAnswer: 12*l*q - 16832*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - 1.96. Let f = h + 0.2599966. Round f to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4316074 rounded to 1 dp?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - h - 3*h)*(5 + h - 3*h - 4) to the form j + u*h + s*h**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let v(o) = -1 + 4*o - 5 + 0. What is -6*u(q) - v(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4607*w - 2492. List the prime factors of i(-8).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*t, -3*l = t + t - 15. Suppose -w + 3 = 0, -2*h + t*w = 2*h - 11. Sort h, 2, 19, 4 in increasing order.\nAnswer: 2, 4, h, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = 8*n + 379 + 115 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 + 4*g - 11. Let i be c(2). Suppose 5*d - 30 = -i. Let x(o) = 0*o - o**3 + 2*o**3 + d - 5*o**2 + 3*o + 0*o**3. Determine x(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -0.3 (c) 5 (d) 0.3 (e) 2.9 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:46 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1007769755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 36*j**4\/5 + 14*j**3\/5 - 52*j**2\/5 - 24*j\/5 + 16\/5 = 0. What is j?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-3 - -5) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13538*l = 13534*l + 56 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/(-90) - (-4)\/(-18). Let d = 20.06 + -19.66. Sort g, -2\/19, d, 0.5 in ascending order.\nAnswer: -2\/19, d, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 1. Let f be z(3). Suppose 2*l = 4*v - 2604, 3*v + 5*l - 1461 = 479. Let x = v - 647. Solve -2*t - 6 - 7 = -x*o, -3*t - f = -2*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - z - 5 = 20, -2*z - 20 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*s + 10*s + 75 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 5:30 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:16 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19905057?\nAnswer: 3, 131, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-574000)\/(-3))\/((-10)\/(-300)). What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3828781730 to the nearest integer?\nAnswer: 61877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46403788 or 92807577\/2?\nAnswer: 46403788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:24 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 777480*z + 777476.\nAnswer: 4*(z + 1)*(z + 194369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Suppose -4*v + 1 = 3*q, 0*q = 2*q - 4*v + 6. Let w = q - 0. Sort 2, w, d in descending order.\nAnswer: d, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 26*y**2 - 56*y + 6. Let l be p(-4). What is the greatest common divisor of l and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + (1 + 6 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Suppose 20 = u*f - 0. What is the second derivative of -2*h**5 + 2*h - 3*h**f + 4*h**5 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {o: 9, b: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x - 50*x + 150 = 49*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/15808)\/(3\/(-48)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -7 (b) 3 (c) 78 (d) 0.3 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)*(-1 + -1). Suppose 16 + 14 = z*x. Suppose x*g - 20*g = -4090. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 + 771. Suppose h = -3*a + 1614. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16452280 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 204488, 408980, 613472, 817970, 1022480, 1227008?\n\"Answer: z**3 - 6*z**2 + 204503*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -291 - -0.4.\nAnswer: -290.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(1\/2 + -1). Suppose -5*o + 4*u = y, -2*o + 4*o + 2*u - 2 = 0. Suppose s - 8 - 27 = o. Solve -m = -4*k - 3 + 20, -4*k - 5*m = -s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211072 and 27338771.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d**1*d*d))**(12\/13) assuming d is positive.\nAnswer: d**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -4, -501811, 4, -2 in decreasing order.\nAnswer: 117, 4, -2, -4, -501811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6\/45 - (3 - 448\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, -8, 534 in ascending order.\nAnswer: -8, -5, 1, 5, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -15.392.\nAnswer: -15.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 19. Factor 39*g + 12 + 15*g**2 + 7*g**3 + 3*g**3 - 15*g - 7*g**q.\nAnswer: 3*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a + o - 120, -3*a + 5*o + 90 = 0. What is the least common multiple of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3676 + -778.\nAnswer: -4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*p + x, x - 4*x + 0 = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2134\/873*9\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 + 0*h - 3*h - 2 - 8. What is the units digit of l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 8*p**2 + p + 2. Let k(w) = 2*w**3 + 10*w**2 + 2*w + 2. What is 4*k(d) - 5*u(d)?\nAnswer: -2*d**3 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/(46\/(-69)) - -1. What is the third derivative of -347*q**b + 349*q**3 + 69*q**2 - 72*q**4 + 84*q**2 wrt q?\nAnswer: -1728*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {v: 2, k: 4, w: 10, x: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89906c (base 13) to base 4.\nAnswer: 30120302120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 - 9*t**2\/2 + 18*t - 108. Calculate i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x - 4*g, 2*x + 4*g + 9 + 15 = 0. Let f = -9467 - -9468. Which is the closest to f? (a) -77 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (50652\/112)\/67*(-3)\/(18\/(-592)) and 370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 4, -9, -2, -5.\nAnswer: -13, -9, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, 6101, 26639, 68163, 137669, 242153?\nAnswer: 388611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 5*i - 4. Let v be n(-3). Suppose -16*u + 24*u**v - 11*u**3 - 5*u**3 + 4*u**4 - 1 + 5 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 3483.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228969469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 divided by -107?\nAnswer: -335\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 1 (b) -4\/5 (c) -18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10304 is divided by 343?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -591200, -1182414, -1773628, -2364842, -2956056?\n\"Answer: -591214*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -840160*d**2 + 1643950 wrt d?\nAnswer: -1680320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -330541 (base 6) to base 8\nAnswer: -65435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11089 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 4*z. Suppose -152 = -z*a - 2*a. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 53*i + 705. Calculate y(-15).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 5) to base 3.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -52*a**2 - 909*a - 6408. Calculate i(-7).\nAnswer: -2593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -202\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -98610577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 389250.\nAnswer: 389250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 24 = -2*l. Suppose 0 = l*a + 4*y - 46 - 56, 4*y = 0. Let r = -33 + a. Let d(m) = 7*m. Calculate d(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 34 = -6*z + 3*j - 10, -3*z + 0*j - 2*j + 49 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 93*p**3 - p**2 - 91*p**3 + 0*p**4 - 12 as w*p + c*p**2 + v*p**4 + i + q*p**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51656 + -0.31656. Sort 0.69, 1\/4, -0.1, -3\/5, g.\nAnswer: -3\/5, -0.1, g, 1\/4, 0.69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 434*i - 24761. Determine d(-51).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/(c*c**(-1\/4)*c)*(c\/c**(2\/21))\/((c\/c**(-9))\/c))**(8\/5) assuming c is positive.\nAnswer: c**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) 337 (d) -989 (e) -4 (f) -0.1 (g) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + -1 + -3 + 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 4}. What is prob of picking 2 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14)*(-70 - -71).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114577 and -0.3.\nAnswer: 34373.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14050))\/(((-36)\/(-60))\/((-6)\/2))*5\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7.03. Let g = 0.23 + x. Let r = 6 + -44\/7. What is the nearest to r in 1, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Suppose -2*l = 2*x + 8, 3*l - x = -5*x - 12. Let j be 6\/4*2*l\/(-108). Which is the smallest value? (a) -3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 9*l + 0 + 1\/2*l**2 - 1\/6*l**3. Suppose -57 = 4*g - 1. Let h(w) = -4*w + 3. What is g*q(v) + 4*h(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -22*j + 134. What is d(3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 143.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/((-7006)\/1582)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = p. Let c = p - -9. What is the units digit of c\/(2 - 0) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b. Let r(w) = w**3 - 2*w**2 - 3*w - 5. Let n be r(3). Determine z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/5 + 178*h**3\/5 + 2458*h**2\/5 - 20578*h\/5 + 3588 = 0.\nAnswer: -69, -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -24.0224. Let q = -0.0097 + b. Round q to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -378*b + 183*b - 2 + 0*b**2 + 22*b**2 + 192*b + 4*b**3 + 9 to the form r*b**3 + l + u*b + z*b**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -6. Suppose -6*f + 2*f + m + 207 = 0, -c*f + 258 = -2*m. What is the greatest common divisor of f and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = -3. Suppose j = -p*j + 47488. Let y = j + -6872. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010898 to the power of 1\/2, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 18. Let b(x) = -1. Let z = -6984 + 6983. What is z*q(v) - 6*b(v)?\nAnswer: v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-36 + 15 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 534 = 35*h - 18*h. What is the smallest common multiple of 12 and h?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75289, -75288, -75287, -75286, -75285, -75284?\nAnswer: -75283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -591, -576, -561, -546, -531?\n\"Answer: 15*d - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8)*(-10)\/(-3). Let q(w) = -3*w**3 + 3*w - 2*w**2 - 1 + 4*w**3 + 0*w. Is q(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/53, -281, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14ca5 + 1309?\nAnswer: -13999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 4*l**2 + 0*l**2 - 2*l - l**2.\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 2*h - 2. Let u(b) = 1419*b**3 + 1801*b**2 - 6*b - 6. Let l(r) = 3*c(r) - u(r). Find the third derivative of l(q) wrt q.\nAnswer: -8478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z - 1)*(-196 - 94*z + 196 + 1 - z - 1 + (2 - 2 - 2)*(z - 3 + 3) + z - z - 2*z) - 3*z**2 - 3*z**2 + 7*z**2.\nAnswer: -197*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/116*(63\/18)\/7?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33047335?\nAnswer: 5, 6609467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/(14707\/8022)*1\/(75\/3)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 909464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1284c - 7399?\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 291*b**2 - 540*b**2 + 277*b**2. Let k(x) = -16*x**2. Calculate l(k(c)).\nAnswer: 7168*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1810257 and 8471?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.797271 milligrams?\nAnswer: 2797271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218989.\nAnswer: 218989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 18*o**2 - o - 8. Calculate the least common multiple of 39 and w(-18).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3772 - -0.18?\nAnswer: -3771.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -408710 - -824157. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 y when three letters picked without replacement from {j: 1, f: 7, w: 1, y: 2, p: 2, z: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3965928*n - 4*n**2 - n**2 - 3965928*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530138458?\nAnswer: 2, 765069229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1420)\/2130*(34\/(-28) - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 4*f + 3. Let j be z(3). Let q = 86 + -59. Suppose d - k - q = j, 59 = 2*d - 2*k - k. What is the least common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fshfttpstlfttstslll. Give prob of picking 1 p and 1 f.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t*t**(-1))\/t))\/(t**(-2\/5)\/t))\/(t**(-1\/6)\/t*t**(-8)))**2 assuming t is positive.\nAnswer: t**(407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436524, -873060, -1309606, -1746168, -2182752?\nAnswer: -2619364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36322.\nAnswer: 2, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - 3\/6*0. What is the least common multiple of 12 and x + 3\/(5 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(7)*2)*-6.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-2\/11)*p)*p*p*p)\/(p\/(p\/(p*p**(-2\/7)))))\/(p**(-1\/7)*(p\/p**(-1\/19))\/p*p*p*p) assuming p is positive.\nAnswer: p**(816\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 138215109*n + 138215109*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 119*q. Let f(y) = -117*y + 1. Let h(w) = -3*f(w) - 4*x(w). Let r(a) = 43*a + 1. Let g(d) = 6*h(d) + 17*r(d). Let z(v) = 2*v**2. What is z(g(n))?\nAnswer: 722*n**2 + 76*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 2*c)*(0*c**3 + 11*c - c**3 - 21*c).\nAnswer: -2*c**4 - 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/4))\/((n\/(n**(-3\/13)\/n)*n)\/n))\/(n**(-20)*n*n**(-2)) assuming n is positive.\nAnswer: n**(1067\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 47*n - 40. Let o(j) = -j**2 - 3*j + 1. Let s be o(-3). Let b be v(s). Let r be 7 - 0 - (0 + -2). Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.147 and -50.\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) -0.1 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785 = -3*i - 27*b + 830, -6*i - 10 = 4*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 88*q + 52. What is the remainder when 556 is divided by v(-8)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from {a: 2, r: 3, g: 5}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((4 - 11) + 4 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) + sqrt(77))*-3 - (sqrt(77) - 1*(sqrt(77) + 1*sqrt(77) + sqrt(77))))\/(3*sqrt(77)\/(sqrt(7) - -2*sqrt(70)\/sqrt(10))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6047*c - 664*c = -1849*c + 455616 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6 = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*m + 2*o, 25*m = 21*m + o - 48. Which is smaller: -12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/135 and 49\/15203?\nAnswer: 2052405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6010.1 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 - 164*b**3\/15 - 118*b**2\/5 - 256*b\/15 - 56\/15 = 0.\nAnswer: -14, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 2. Let r = 142 - 147. Let j(d) = 14*d**2 + 5. What is r*u(z) - 2*j(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1331665030 to the nearest one million.\nAnswer: 1332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**2 - 11*j**3 + 5*j**2 - 12 + 477*j - 486*j. Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, -4, 3, -56, -3.\nAnswer: -56, -47, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -1.34 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 9 + 2 + 7.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -883*v + 23. Let s be r(1). Let c = -427 - s. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2621\/4 - -655. What is the closest to 1\/2 in 2\/13, -0.4, x, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by -2 + 4 - (-15 + (-4 - -3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**6 + 8*i**4 + 10441*i**3 + 40040140*i**2 + i - 1.\nAnswer: 360*i**3 + 192*i + 62646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037889.\nAnswer: 3, 115321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2181 - -47981\/22. What is the common denominator of -26\/55 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118.74*0.32.\nAnswer: 37.9968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8307\/(-117) - (-12366)\/174?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17186\/25 > -687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10 = -6*t. Let o(a) = -a + 1 - 2*a**2 + 1 - a + t*a**3. Let c be o(2). Solve -c*l = -l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(320)*4 - (-5 + sqrt(10)\/sqrt(2) + 1).\nAnswer: 4 + 127*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by 39.\nAnswer: -235\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.5 + -11.6. Which is the closest to -1\/5? (a) r (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -2 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o + 2*o**2 - 4*o + 23*o + 27*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/7)*x*x**(1\/2))**(-39)*(x**(1\/4))**(-1\/2)*((x*x\/((x**(-1\/9)*x)\/x))\/x)\/(x*x*x**(-2\/3)) assuming x is positive.\nAnswer: x**(-52123\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o. Let s(x) = 15*x. Let q(b) = -2*s(b) + 5*y(b). Let f(t) be the second derivative of 5*t**4\/12 + 679*t. Calculate f(q(a)).\nAnswer: 125*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12853 + -25705\/2. Suppose 10 = -4*h - 2*u, 2*h - 4*u = -32 + 2. Which is the nearest to -0.3? (a) z (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v, -d + 2*v + 21 = v. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 74?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1.85043.\nAnswer: -12.95301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -186708892 divided by -34?\nAnswer: 5491438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17466?\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/31102 and -11\/744.\nAnswer: 11569944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38907765 is divided by 112.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 190, 149, 86, -5, -130, -295?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/70 - 244\/10. Let f = x + 5833\/235. Let i = 233\/94 + f. What is the common denominator of i and -58\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 489.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (sqrt(75) + -6*(sqrt(75) + -3) - sqrt(75)).\nAnswer: -18 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 5*i - 98. Let f = -63 + 66. Solve -2*c - 2 = 2*l, -2*c = -f*l - 2 + i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1086, -1084, -1068, -1032, -970, -876?\n\"Answer: a**3 + a**2 - 8*a - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 26. What is the remainder when ((-14)\/(-28))\/(4\/432) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0958251 rounded to four dps?\nAnswer: 0.0958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 27*p - 8. Let r be v(-13). Let k(o) = -o**2 - 10*o + 5. Let a be k(-10). Solve 5*j + 9 = 2*j - a*c, -r*j + 4*c = -22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 7*s + 0*s - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 11 + 20 - 9 + 2*a as d*a**2 + s*a + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 + d**5\/60 - d**4\/24 + 2*d**3\/3 + d**2 + 30. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -50. Let q = s - -64. Let g = q + -34.9. Which is the closest to 0? (a) 0.04 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 0 in ascending order.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17928)\/(-16) + 6\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/8)\/(1\/(-8)). Suppose 11*d + 2 - 13 = 0. Solve -3*o - x = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**3 - 163*x**2 - 51*x - 117. Give q(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7696?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -5, -2, 1, 0.23, 93?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 1. Let z(t) = 3*t**2 - 4*t + 1. Suppose -i = -4*r + 8, 2*r + i + 4 - 2 = 0. Let g(l) = r*z(l) + 4*s(l). What is v in g(v) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/25, 7, -0.3, 5, -15, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 0. Let k(i) = i - 4. What is the smallest common multiple of k(j) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 496\/7. Let b = -859\/11 - -78. What is the closest to -1\/3 in o, -3\/5, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*j)*(2*j**2 - 3*j**2 + 3*j**2) - j**3 - 2 + 2 + 21*j**3 + 0*j**3 + 8*j**3 to the form u*j**3 + w*j + s + d*j**2 and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*l**3 - 281*l**3 + 655*l**3 - 131*l**3.\nAnswer: 871*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13977*z**2 - 4*z + 6*z - 13736*z**2 - 2*z.\nAnswer: 241*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 440\/1591313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3 + 4c3b?\nAnswer: 4b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, i - 45 = 5*t - i. Let a be (4\/t)\/(7\/9 - 1). Solve -15 = 5*o - 4*d, a*o = 6*o + 2*d + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5, -4*v - 18*d = -23*d - 11. Solve 13*o - v*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x - 9. Calculate the greatest common divisor of 46 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (104 + -51)\/(2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 43*o**3 - 2*o + 3. Let r be m(2). Let l = r + -208. What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 0. Suppose p = -o - 5 + 16. Solve 5 = -4*f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r**(-2\/11)*r)\/r*r)\/r)**(-20)\/(r**(-7)\/(r*r*r*r*(r*r**(3\/4))\/r*r)))**(-3\/16) assuming r is positive.\nAnswer: r**(3117\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-72)*(-2)\/(2*2\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17512 - 1b?\nAnswer: -17530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/4 + -5\/12. Let x be (-3)\/96*2*-2. Which is the nearest to j? (a) -2\/11 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 1852435.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93237?\nAnswer: 3, 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 1. Let z(v) be the first derivative of 3*v**3 - 3*v**2 + 16*v - 84. Let s(x) = -5*t(x) - z(x). Calculate s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aalalsaaosaealsse. What is prob of picking 1 s and 1 a?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 3b77050?\nAnswer: -3b77084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5664 divide 260900129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101001110001110011?\nAnswer: -101001110001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - j = 4*i - 9, 1 = -i + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(208))**2 + sqrt(208) + sqrt(208) + (sqrt(1573) + sqrt(1573) + 1 + -2)**2.\nAnswer: -52*sqrt(13) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1008\/448)\/(1*9\/(-120))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/(-140) + 5 + (2 - 3 - 2). Is s smaller than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35295 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 3, k: 5, f: 4, t: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23531, -23532, -23533?\nAnswer: -23534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 986152.9.\nAnswer: 986147.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.3. Let r = 38 - 39. Let y = 2 - r. Which is the second smallest value? (a) 1\/7 (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/300 - u**4\/30 - 48*u**2. Factor n(d).\nAnswer: d*(d - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2991 = 3*b, 4*r - 2*r = 5*b - 4985. Let q = 4951\/5 - b. Calculate the common denominator of q and 13\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 6 - 2*-1. Suppose -u - 2*u = -2*b - 83, -46 = -u - i*b. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -31*r**3 + 14*r**2 - 3*r + 15. Let z(o) = -67*o**3 + 28*o**2 - 6*o + 29. Let b(t) = 13*c(t) - 6*z(t). What is b(14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a - 3*a**3 - 16*a + 3*a**4 + 2*a**3 + 2*a**2 in the form q*a + m*a**4 + n*a**2 + f*a**3 + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17210987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r - 3*x - 18, 2*r = x - 2. Let s be 0\/r - -2 - -1. Suppose -51 = -s*c - 5*y + 2*y, -2*c + 9 = -3*y. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5393, 5399, 5407, 5417, 5429, 5443, 5459?\n\"Answer: g**2 + 3*g + 5389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v + 25 + 35. Let g be v - 3 - (-99)\/11. Factor -2\/9*z**2 + 2\/9 - 2\/9*z + 2\/9*z**g.\nAnswer: 2*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (5 - (13 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 3*m**2 + 3*m - 3. Suppose 0*p = -2*a - 3*p + 11, 0 = 5*a + 4*p - 24. Let j = a + -10. Is v(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 + 0 = 0. Let f be 1\/(-7) + (-55)\/7. Let t = -5 - f. Is t bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40054 or 40043?\nAnswer: 40054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -4)\/(1 + -2). Which is the closest to 0.2? (a) l (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + f - 4. Let a be d(0). Let h be a + 7 - (1 + 0). Suppose -2*n = h*n - 448. What is the highest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 4*k + 231. What is the remainder when 2\/(-5) - 921\/(-15) is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 33 - 6)*(m - 3*m + 3*m) - 15 + 3*m + 11 - 5*m.\nAnswer: -54*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 1. Let s be a(1). Let o be (2 - (s + -2))*1. Let c be (-4)\/(-12) - o\/(-3). Solve -3*t = -c - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246328 divided by -28\nAnswer: -61582\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**2\/2 + 8*m - 2. What is b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in 0, -1\/7, -3\/7, 0.11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1414010 by 5.\nAnswer: -282802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.129*0.01\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -9 + 12 - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25008 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**6\/51 - 8*y**5\/85 + 5*y**4\/34 - 4*y**3\/51 + 6. Factor c(g).\nAnswer: 2*g**2*(g - 2)*(g - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 12. Suppose g - h = 2*g. Does 3 divide 2\/(-10) - 62\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.41 * -39.\nAnswer: 3252.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/(g\/g**(-3\/7)))*g\/g**(1\/48) assuming g is positive.\nAnswer: g**(1145\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*b - 5 = -1, 4*a - 3 = -b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*o - 15 = 0, 0 = 4*b - 4*o + 178 - 170 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9589 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: Expand (-17*i - 14*i + 41*i - 13*i + 1365)*(0*i**2 + i**2 + 2*i**2).\nAnswer: -9*i**3 + 4095*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 661613*a - 661611*a + 7, -j = a + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.016 * -4.\nAnswer: -120.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23987 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/((-1)\/411). Suppose 69 = -v + 15. Let j = b + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.339+-90\nAnswer: -104.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*f + 44, f = -c - 655 + 643. Suppose 4*z = 4, 3*z = 4*y - 3 - 6. Suppose 4*g = g + 3. Solve 0 = -c*k + g + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 17*f**2 - 16*f + 2. Let z be q(-16). Suppose 4 = 2*m - 2. Let j = 5 - m. Solve y + 17 = -z*h - j*h, -5*y - 22 = -h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Suppose -3*f + 5*t = -52, -m*t + 2*t = -3*f + 55. Let y = -12 + f. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2995 - -2996. Which is the nearest to v? (a) -2\/9 (b) 2 (c) -8 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j - 5*h - 185, -h = -7*j - 3*h - 91 - 46 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 16542228 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2177, -9557, -21857, -39077?\n\"Answer: -2460*z**2 + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/30 + 3*b**2. Let d(o) = -3*o**2. Calculate d(g(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49309, 5, -1, -5 in descending order.\nAnswer: 49309, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 1 - 1)*(-2*i - 2*i + 3*i + 251 - 251 + 150*i + (4*i + 0*i - 2*i)*(-1 + 0 - 1)) to the form s*i + a + r*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 + h + 11. Let m be y(-4). What is the highest common divisor of m and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 7}. What is prob of picking 3 f and 1 r?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04258 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(0 + (-2)\/6). Is r not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -1\/3, 31, -2\/5, 0.05, 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*7)\/(4 + -5) + -2. Suppose -4*t + 8 + 4 = 0. Suppose -2*w + 0*w + 2*r = -14, u*w - t = -3*r. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310729907 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 496471*a + 957330.\nAnswer: 496471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -7 + 2, t = -b + 7. Let s(z) = -z**2 + 8*z + 3. Let y be s(8). Solve y*r + t = 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -35*u + 2*o + 20, 12 = 3*u - 4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 384 - -1.913.\nAnswer: 385.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17417243*t**2 + 11384617 wrt t.\nAnswer: -34834486*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/9 + ((-6)\/(-9) - 1). Let p be 6*(1 + 0) + (-4)\/v. Let k(q) = -q**2 + 6*q - 6. Determine k(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2347*c + 4171*c + 22253 = 2113*c for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19405136.\nAnswer: 2, 41, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h + 58*h - 124*h + 2113*h**3.\nAnswer: 2113*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 45. Solve x + 7 = 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 13) in base 11?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 944*p**2 - 4*p**3 - 944*p**2.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t - 2 - 2*t**2 + 5*t**2 - 2*t**2. Let x be g(13). Let w = x - -17. Solve w*i = -2*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let l be (-9)\/2*j\/(-6). Let d be 9 - 4\/((-4)\/l). Solve -2*h + d = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*m - 37100 = -1007*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 8390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 211*y - 87. Let j(o) = -421*o + 188. Give -6*j(p) - 13*z(p).\nAnswer: -217*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7869 and -0.0931.\nAnswer: -0.07326039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 10*h - 42. Let m(i) be the second derivative of 3*i**5\/20 - 5*i**4\/12 + 2*i**3\/3 - i**2\/2 - i. What is the tens digit of m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s**2 + 15*s + 122. Let f(t) = -6*t**2 - 7*t - 61. Let c(i) = -7*f(i) - 3*x(i). Differentiate c(m) wrt m.\nAnswer: 6*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 2630.\nAnswer: 49970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 2:32 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/((-221)\/(-34) + -2*3). Let d(z) = z**3 - 12*z**2 + 12*z - 9. Let p be d(11). Let a be 8\/(-12) - p\/6. Sort 5, a, u.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -25\/96988211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 36.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*o - 7*i*o*z + 2*i*z + o*z + 6*o + z wrt i.\nAnswer: -4*i*o - 7*o*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/25)\/(414\/276*(-3)\/9).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v - z, 6*v = 11*v + 3*z + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21024)\/3066*14\/(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - -64 - (-38 - 26)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 78*y**2 + 880*y + 1. Let r be k(88). Let t(b) = 1. Let d(u) = 13*u. Determine r*d(p) - 2*t(p).\nAnswer: 13*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(-20) + (-133)\/(-95). Which is smaller: 185 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 + 22*f - 10. Let m be (13\/3 - 1)*63\/(-42). Let a be j(m). Let u be 1\/((-2)\/12*-2). Sort u, a, 1, 0 in decreasing order.\nAnswer: a, u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 39. Let l be (b\/(-9))\/(8\/12). Let m(t) = -t**3 + 7*t**2 - 5*t - 7. Let n be m(6). Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 2, s: 4, p: 1, y: 1, z: 1}. Give prob of picking 1 s, 1 y, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41\/3 + -14. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.96 + 0.04. Let a = 34 - 205\/6. What is the smallest value in a, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1537 + -1540. Sort -0.2, l, 0.06, 0.2 in decreasing order.\nAnswer: 0.2, 0.06, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 392 and 5.2.\nAnswer: 2038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-110)\/25 - (-4)\/10. Let u = 25 - 9. Suppose -4*v + 0*v + 3*j = -11, 2*v + 2*j = u. Put v, f, 2 in descending order.\nAnswer: v, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 633172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 80 = 52 + 99. Suppose -12\/7*r**4 - 15\/7*r**2 + 3\/7*r + 24\/7*r**c + 0 = 0. Calculate r.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, h: 1, y: 2, n: 2}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -6222.\nAnswer: 6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 189*b - 1888. Let s be i(10). Let l(o) be the third derivative of -1\/4*o**4 - 18*o**s + 1\/60*o**5 + 0 - 5\/6*o**3 + 0*o. Calculate l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46228757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 - 1. Let g be t(-6). Let k be (g - 1)*5\/(-62955)*3. Let p = k - -33526\/104925. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - -32?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 4.04. Let s = -7 - t. What is the third biggest value in s, -1, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8147.4318 to 0 decimal places.\nAnswer: -8147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**2 + 0 + 0*m - 1\/12*m**4 + 0*m**3. Let u(t) be the third derivative of -t**5\/30 - t**2. Give u(c(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13595470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, x: 1}. Give prob of picking 1 e and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 6 - 5 - 6*t)*(3*t + 0*t - 2*t).\nAnswer: -6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 0 = -2*y + k + 2, -u - 6 = -4*y. Suppose 0 = -u*i + 5*i - 15. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165432*j - 3 + j**3 - 8*j**2 - 165428*j + 5*j**2 - 2*j**4 in the form w*j**3 + h*j**4 + b + q*j**2 + v*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 154*z - 12. Let o(v) = -74*v + 7. Let k(q) = -3*f(q) - 5*o(q). Let a(i) = -2*i**2. Give k(a(s)).\nAnswer: 184*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/7*(0\/(-1) - -1). Find the common denominator of -44\/3 and (-123)\/(-9)*z\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5321991 weeks in hours?\nAnswer: 89.4094488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189201823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u + 36 = -228*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 284 = 5*y, 3*k = 5*y - 249 - 39. Let g be (-27)\/(-5) + 8\/(-20). Suppose 5*b + g*m = y, -3*m + 25 = 2*m. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2047\/156 - 242\/39. Let z = -34220\/9 + 3809. Calculate the common denominator of s and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 587326876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-48)\/k*(k\/k**(1\/21))\/k*k)\/((k\/(k*k*k**(-19)*k*k*k))\/((k*k**(-3\/22))\/k)) assuming k is positive.\nAnswer: k**(-29191\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w + 10. Let v be t(-12). Let p = 525\/4 - v. Let f = -223 - -225. Is p greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12242?\nAnswer: 2, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -3, 1\/2, 28 in ascending order.\nAnswer: -3, 1\/2, 28, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 45632585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19 + 4 = -a, 13 = 2*h - a. Solve -3 = h*j - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 9) in base 14?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.01. Let q = -555.2 + 555. What is the nearest to q in w, 2, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:42 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 - s**4 - 39*s + 13*s + 4*s**2 + 21*s + 4*s to the form z + g*s**4 + k*s**2 + o*s + q*s**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a. Let y be -18*((-247)\/(-38) + -7). Let o(u) be the second derivative of 1\/2*u**3 + y*u + 0 + 0*u**2. Calculate d(o(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p + 5. Let j be (2\/(-3))\/(2\/(-6)). Factor p - j + y**2 + 1.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443658 is divided by 3327?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1.5, 0.5 in ascending order.\nAnswer: -0.5, 0.5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -237, -356, -477, -600, -725, -852?\n\"Answer: -p**2 - 114*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -417 (base 8) to base 12\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/89 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + 238. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 321090841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14580, 29350, 44540, 60360, 77020?\nAnswer: 94730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146348, -292852, -439356, -585860?\n\"Answer: -146504*b + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -623?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42067761?\nAnswer: 3, 2969, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.17.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 412501367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.08819.\nAnswer: 0.08819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 0.2 (c) 0 (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036.101um in millimeters?\nAnswer: 6.036101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 169, 5 in descending order.\nAnswer: 169, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22690852, -45381704, -68072556?\n\"Answer: -22690852*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - 156\/(-42). Suppose 5*w + 4*q + 16 = 0, 2*q = q - p. Solve -2*b + 1 - 7 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let r(a) = 2*a**3 - 4*a**2 + 6*a - 2. Let w be r(g). What is the second derivative of w*x + 3*x + 5*x**4 - 9*x wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 j when four letters picked without replacement from jygyygyg?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/11 (b) 6.4 (c) 3207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 44 = -0*t. Are t and 44 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5 + -5 - (-1067440)\/336) + 2\/21 and 9?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 24*x - 43. Determine y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 34193*o\/4 + 2298915\/2.\nAnswer: (o + 135)*(o + 34058)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 310*z**3 + 36 - 77.\nAnswer: 310*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.5303ml in litres?\nAnswer: 0.3635303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -15638?\nAnswer: 15634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -62811.6915 to the nearest integer.\nAnswer: -62812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = -8, 5*c - 4*a = 51. Let j = 516.5 + -516. What is the closest to 0.1 in -0.1, 2\/5, j, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*w - 90*w - 34*w + 8262 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 - -235. Suppose d + v = u, 5*d - 55 = -2*u + 8. Calculate the remainder when u is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.9 - -0.206.\nAnswer: -31.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -170 + 160 - (8460989 - -1). Round n to the nearest one hundred thousand.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1821393 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 - 6*d**2 + 2*d. Let m be 1*-9*(-7)\/(168\/16). Let q(r) be the third derivative of -r**6\/120 - r**5\/60 + 3*r**2. Give m*q(l) - s(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 22\/(-4))\/((-6)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*o**2 + 347 - 691 + 344 to f*o + u + s*o**2 and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5) + 104\/(-130). Let k = 1 - 1.1. Which is the biggest value? (a) 6\/11 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 - 13 = 0. Suppose 9*o - 16 = o. Solve 21 = 3*p - n*l, 4*l + 8 = o*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*((z*z**0)\/z)\/z)\/((z**2\/z)\/z))\/(z\/(z**(-3\/5)*z*z))**21)**(-3\/5))**(-2\/59) assuming z is positive.\nAnswer: z**(252\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.12 (c) 147\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.23556012951 - 681.76444165549. Let j = c - -684. What is j rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41317993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**2 + 1\/2*n**4 + 0*n**3 + 0*n + 0. Let c(h) = 4*h - 6. Let o(a) = -3*a + 4. Let u(g) = -2*c(g) - 3*o(g). Give f(u(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/39*-6 + 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63656 + 26?\nAnswer: 63704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u + 6 - u - 97*u + 7*u + 4. Is x(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s + 6. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -31. Let x = -4 + z. Suppose 4*q - x*q = 2*b + 146, 2*b - 142 = -q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/219 + -42\/73. Let i = 0 - 0.1. Which is the third smallest value? (a) n (b) -4 (c) -8 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + sqrt(78)\/(sqrt(4)\/sqrt(2)) + sqrt(39))*1*-5)\/((sqrt(6) + 6*sqrt(6)*2 + sqrt(6))\/(2*sqrt(200))).\nAnswer: -150*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 8*j + 4. Suppose 2*c + u - 51 = -2*u, 2*c - u = 31. What is the smallest common multiple of s(4) and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -614245 and 0.002.\nAnswer: -614244.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) + -1 - sqrt(72))**2 + sqrt(72) + 5 + sqrt(10)\/(-4*sqrt(5)*-1).\nAnswer: 6 + 49*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m - 1. Suppose -5 - 10 = -5*w. Let n = -1 - -5. Suppose 24 = -n*y + 4*s, -2*s + 12 = -w*y - 5*s. Determine z(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -6, -2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111320213 (base 4) to base 15\nAnswer: 1b85e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + 3 + (3*sqrt(7))**2 + 4.\nAnswer: sqrt(7) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -0.01 (c) 30 (d) 0 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1561?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000171192 rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -123. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337128461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*i + 23, 4*i + i - 19 = q. Suppose i*m = 11 - 31. Let w(d) = d**3 + 6*d**2 + 2*d. Give w(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + x**2 - 3*x + 1. Suppose -3*y + 3*y = 7*y. What is the lowest common multiple of g(1) and ((-15)\/(-10))\/((-2)\/(-4)) - y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177366743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 1:11 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 154, 201, 256, 313, 366?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15)*3*(-1)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 32*t + 0*t = -51 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**3*m**6 + 3*l**3 + 977*l*m**6 - l*m - 666*m**2 wrt m?\nAnswer: -480*l**3*m**3 + 117240*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:39 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2983 + -2979. Solve k*d + r + 32 = 10, -d + 5*r = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 16\/5 + 8\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/5))\/(s*s\/((s*s**(-2))\/s))*(s*s**(1\/2))\/(s*s**(3\/4)\/s*s)*((s**6*s)\/(s*s**(-2\/7)))**(-46) assuming s is positive.\nAnswer: s**(-40963\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(((sqrt(120) - ((sqrt(120) - -3*sqrt(120)) + sqrt(120)) - sqrt(120)) + sqrt(120) + sqrt(120))\/sqrt(10))*5*4*-4.\nAnswer: 80*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -344 + 1522. Does 90 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2730820 (base 9) to base 5.\nAnswer: -340342244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = 4*u. Is 21618\/4 + (u - (-6)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-139)\/16680)\/(18\/8). Which is bigger: 15 or r?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 83*v**2 - 30*v + 247. What is the tens digit of g(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7724 = -4*p - 10*d + 9*d, -5*p + 9634 = -4*d. Calculate the smallest common multiple of p and 20.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 0 (c) -21 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60871035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(1\/4))\/s)\/s)\/s**(2\/5))**(-22) assuming s is positive.\nAnswer: s**(363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3521 and 168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181879*h*p**2 + 1226*h*p - 2323*p**2 - 17425*p - 4 wrt h?\nAnswer: -181879*p**2 + 1226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 3096870.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 + 0*p**3 + 0*p - 23\/60*p**5 + 0*p**4 - 88*p**2. Let u(w) = 2*w**2. Determine x(u(z)).\nAnswer: -92*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v - 5. Let n be s(-5). What is the tens digit of 5\/n*(-60)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-23 - (22 - 26))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 19403*p + 96982. Determine o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2695 + -18863\/7. Which is the fourth biggest value? (a) 13\/2 (b) n (c) 12 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m - 26*m + 9*m - m.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -15. Let s be (f\/(-2))\/(13\/(-26)). Let o be s\/(-3)*(-39)\/26. What is the biggest value in o, 8\/3, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6, h: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/12 - 2*h**2. Let t(f) = -6*f**2. What is s(t(l))?\nAnswer: -180*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - (16814\/420 - 41).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13173 + -13172. What is the second smallest value in -3, 2\/3, 0.0173, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -690, -1036?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*-1 - (sqrt(48)\/sqrt(4) + sqrt(12))*2)\/(2*sqrt(600)*-1 - sqrt(600)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f + 39. Is n(-18) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/12 + u**3\/3 - 43*u**2. Determine c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3 = x. Suppose 4*u + v - x = 0, -4*u - v + 1 = 2*v. Let c be (6 + 204\/(-30))*(-4 - u). Solve d - 2*f + 11 = 0, 0 = c*d - 0*f + 3*f + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 843 + 360 - 31 + j as d + z*j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -6*o**5\/65 - 4*o**4\/13 - 8*o**3\/39 - 8. Factor x(i).\nAnswer: -2*i**2*(i + 2)*(3*i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + 22 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -8*d + 6. Calculate the greatest common divisor of d and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212*d - 54 with respect to d.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1572995 and -0.012.\nAnswer: 1572994.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003369811341 rounded to 5 dps?\nAnswer: -0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 10. Let k(c) = -2*c + 9. Let z(f) = 5*k(f) + 6*y(f). Let x(l) = l - 7. Let t = 23 - 10. Determine t*x(r) - 6*z(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**3 - 9*g - 7. Is m(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212102202210 (base 3) to base 11.\nAnswer: 1184459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 385.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276272 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - (-6)\/48?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/20241 and 23\/1038?\nAnswer: 40482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 155028552 divided by -2\nAnswer: -77514276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 34*g + 38*g + 85 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31916?\nAnswer: 2, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 12*s + 31. Let c be b(-8). Sort -3, c, -14 in decreasing order.\nAnswer: c, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1338 = 540. List the prime factors of j\/8 - (27\/(-12))\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204913113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-4 - (5 + (0 - (-132)\/(-15))))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v + 32*v = 26*v + 34*v - 6555 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1607 + 3170. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -80. Suppose 0 = -c + 2*i + 9, c = -h*c - 3*i + 36. Find the second derivative of 16*o**4 - c*o - 6*o**3 - 10*o**3 + 16*o**3 wrt o.\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 + -1366?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 12) to base 13\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14820432 and 1936?\nAnswer: 163024752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 484253207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2074946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p + 132*p + 45*p - 46*p - 45*p - 47*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14481*d**2 + 9*d + d - 74*d**2 - 2*d.\nAnswer: -14555*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 6. Let r be k(10). Find the second derivative of 5*c + 8*c + r*c**3 - 6*c**3 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 120.6338238 microseconds?\nAnswer: 0.0000000001994606875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 25 - 2 = 0. Suppose -25*v + l*v = 471112. Let n = -55556 + v. Round n to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3678 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 487827 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -1789, -1, 0.5, -441, 8, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**2*y**3 - 219*p**2*y - 479*y**3 with respect to p.\nAnswer: -8*p*y**3 - 438*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-10)\/(-4)). Let n = 1400 + -1392. Which is the nearest to n? (a) 5 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.5, 4\/9, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 61. Let u = -29 + f. Factor 1\/2*i**3 + u - i**2 - 3\/2*i.\nAnswer: i*(i - 3)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-810)\/108*98\/(-21)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 360423.\nAnswer: 20\/360423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 12*n - 150*n + 5.\nAnswer: -162*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28964, 28844, 28702, 28544, 28376, 28204, 28034?\nAnswer: 27872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 11 = -3*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4)*(-8 + 4). Let u(z) = 11*z + 3*z**2 - 2*z**3 - 3 - 5*z - 6*z. Let i(q) = 6*q**3 - 8*q**2 + 8. Give f*i(x) + 8*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-49)*(-12 + 5). Solve l*w + 0*w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + 37*s + 68. Let c be j(-3). Find w such that 3*w + 2 + 1\/4*w**3 + 3\/2*w**c = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -5)\/(-4)*0. Let z be o + (0 - -1*12). Solve -3*w = 0, 4*b + 0*b - w = z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 10 - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*j + 10 = 0, 3*h - 5*j - 25 = h. Suppose h = -2*y + 4*f - f + 50, 42 = 2*y + f. Let v = -19 + y. Sort -5, v, 5.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36890052.\nAnswer: 2, 3, 3074171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -19, -10, -1, 8?\n\"Answer: 9*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 724*i**2 + 3719*i + 459. What is r(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from {k: 4, w: 5, b: 8}.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 5.3. Let f = -3 - -2.8. Let i be ((-51)\/34)\/(-2 - 1). Which is the closest to 0.3? (a) i (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92568?\nAnswer: 2, 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 52*g = -11*g + 2262. Calculate the highest common factor of g and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -v, 2*v + 15*a = 12*a + 33. Solve -2*g - v = -20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 41. Let t be w(13). Suppose -12 = -t*f - 2*f. Suppose -361 = -f*d - 22. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -81*i**4\/8 - 2805*i**3 - 381045*i**2\/8 - 342705*i\/4 - 3108 = 0.\nAnswer: -259, -16, -2, -1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90\/247 - 78569\/741. Let a = -105 - b. Let t = -0.012 - -1.012. Put 3\/2, t, a, 0 in ascending order.\nAnswer: 0, a, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2173 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 1\/120*b**5 + 0*b**2 - 1\/120*b**6 + 1\/12*b**4 - 2*b - 2\/3*b**3 + 0. Let d(m) be the second derivative of v(m). Factor d(k).\nAnswer: -(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - (58 - -24)) + -28 + 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217838029 - -154538029. Round a to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11940939*s**2 - 11940939*s**2 - 82*s**3.\nAnswer: -82*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -802\/7. Let g = -8719\/1694 - -1\/242. Calculate the common denominator of g and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -45 - (-14 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 98187*0.9\nAnswer: 88368.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98\/5 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28\/383 + -467\/1149. Put 5\/2, 1\/11, -38, -5, w in increasing order.\nAnswer: -38, -5, w, 1\/11, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209407?\nAnswer: 11, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174a (base 12) in base 11?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0352 - -0.0048. Let w = -0.64 + u. What is the third biggest value in 1\/2, w, 2\/9, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 7*g**2 + 6*g + 16. Let x be r(8). Solve -3*d = -2*f - 1, -5*f = -x*d + 2*d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6 + 1 - -12) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1568 times 10?\nAnswer: 1.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -j + 3*j. Suppose 0 = o + 2*o - j. Suppose 4*w - w = -4*l - 3, l + 4 = -o*w. Solve r + l = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - (-3)\/3. What is the derivative of s + 1 + 2*r - 6 + 2*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -179. What is the smallest value in -0.2, a, 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -513978, -1028169, -1542360?\n\"Answer: -514191*s + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*j + 94, 3*j + 2*c + 225 - 334 = 0. Suppose 4*n + 3*t = -210 - 31, 4*t = -5*n - 300. What is the tens digit of (j\/4)\/((-8)\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2211469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1174270 and 18\/272078359.\nAnswer: 2720783590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 12) in base 3?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246433, 985747, 2217937, 3942997, 6160921, 8871703?\nAnswer: 12075337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-25) - 1770\/(-250). Suppose d*l - 924 = 5*l - 3*j, -5*l + 2360 = -5*j. Does 39 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/38)*(o**(6\/5)\/o)\/o)**(-2\/7))**(-14) assuming o is positive.\nAnswer: o**(-314\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15*((60\/(-4))\/150)\/(3*1\/(-54))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 38, 73, 124, 197, 298?\n\"Answer: q**3 - q**2 + 21*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*b*m**2 + 937*b*m*r - 2*b*r + b - 3*m**2*r + 53*m**2 + m*r wrt r?\nAnswer: 937*b*m - 2*b - 3*m**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**4 + 1\/3*u**3 + 1\/70*u**7 + 0*u**6 + 0 - 4*u**2 + 0*u**5 + 0*u. Differentiate w(f) wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.29 + -0.29. Let f = -71 - -357\/5. Which is the second smallest value? (a) l (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g**2. Suppose -3*i + 0*u + u + 4 = 0, -u - 2 = -2*i. Let k(p) = p**i - 6783*p + 6783*p. Calculate l(k(d)).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.17859.\nAnswer: -0.142872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 10377.\nAnswer: 10386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u - 4. Suppose -5*t + 10 + 10 = 0. Give x(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.857062249771 and -22?\nAnswer: 22.857062249771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 + 25146303?\nAnswer: 25146433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5705*w + 13*w**3 - 1892*w - 1893*w - 1920*w - 7*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sssssssqsqqsssss.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 3\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40761*g + 40617*g + 40617*g - 121982*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 2\/(-3) - 50\/(-6). Solve 3*v + 5 = h*v, 5*p - 3 = -3*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.282189766 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - (-2508)\/24)\/(4\/80)?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-19*(42\/7 - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6556 divided by 4.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 2. Let k be p(-2). Let j = -11 + 7. Let q = j - k. Solve 0 = l + q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-2 - 5*w**2 - w**2 + 4*w**2).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/24*(-6)\/(-4). What is the greatest common factor of 724 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 72125*v**2 - 19*v + 29. Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 49*r - 144 - 243 + 391 to the form c*r + y*r**2 + b and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58 and -114908813.\nAnswer: -114908871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2 + 1\/42*y**4 + 0*y - y**3 - 1\/1260*y**6 - 1\/420*y**5 + 0*y**2. Let j(f) be the third derivative of w(f). Factor j(q).\nAnswer: -2*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 6*v - 48. Let m(t) = -7*t - t - 4 + 1 - t**2 + 0. Calculate the lowest common multiple of m(-5) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w + 1. Let l(k) = -6*k**2 + 16*k - 5. Suppose 0 = v + 12 - 1. Let g(p) = v*q(p) - 2*l(p). Let r be g(1). Which is smaller: r or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.252454kg?\nAnswer: 252454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 79. Let z = -9 + -6. Let k be (-6)\/z - 4\/(-15). Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 3880185398555?\nAnswer: -3880185398560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.360995 > 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/12 + m\/3 + 1.\nAnswer: -(m - 6)*(m + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546465 is divided by 2844.\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(135\/(-12))\/(-15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17*2\/(-68))\/(2\/((-9)\/((-18)\/4)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose 4*r + h + b*h = 23, -5*h + 10 = 5*r. What is the remainder when 19 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-20 - -46 - 36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3001825499 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-2)\/(-4)*-2. Let n be (-6 - 3)*2\/h. Is -5 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Calculate the remainder when 35 is divided by o\/(4\/18 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 18*k + 15*k = 53, -7*f + 3*k - k + 50 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 8:49 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -85. Let c(t) = -3*t**2 - 3*t. Let n be c(-3). Let s be n\/(-45)*6\/4. Sort s, g, 2\/5 in increasing order.\nAnswer: g, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -4\/7, -34\/3, -0.3 in decreasing order.\nAnswer: -0.3, -0.4, -4\/7, -2, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 97659.\nAnswer: 195318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68d + -7?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-79422)\/(-3294) - 1\/9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7119 + 363.7119. Sort 1\/3, 5, 3, t, -3.\nAnswer: -3, 1\/3, 3, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a. Does 15 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1687, -1819, -2169, -2845, -3955?\nAnswer: -5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 95.26384 years?\nAnswer: 1143.16608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -27, -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3. Let k be 4\/6 + (-721)\/84*-4. Let d be (-1)\/(k\/(-15) + 2). Let c(q) = q. Give d*c(o) + f(o).\nAnswer: -o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x**3 + 108*x - 21*x**2 + 21*x**2 + 81 - 7*x**3 + 54*x**2 + x**4 = 0. What is x?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-1710) - 99\/(-38).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by -7.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17910 - -7?\nAnswer: -17905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 11*b**2 - 5*b - 5. Let p be q(10). Let g = p + -22480\/11. What is the common denominator of -45\/2 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -9.07215\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -4*r + 2, 0 = 3*m + 5*r - 24. Solve 5*i - m*i - 2*q - 2 = 0, 5*q = 3*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) - (-932)\/20. Let q = -23 + g. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576673 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {f: 1, n: 2, w: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*l**3 - 84*l**3 - 101*l**3 + 4*l)*(2 - 2 - 2) + (-3*l + l - 2*l)*(0*l**2 - 2*l**2 + 3*l**2) + 3*l**3 - l**3 - 3*l**3.\nAnswer: 279*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4612, 4222, 3524, 2512, 1180, -478, -2468?\nAnswer: -4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + 2. Suppose -4*m = 16, 0 = -3*h + 6*m - 2*m + 178. Suppose -h*j + 0*j = -162. Which is the closest to -2\/19? (a) j (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465 minus -2318.145?\nAnswer: 853.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1172, -2344, -3514, -4682, -5848?\n\"Answer: s**2 - 1175*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 9. Determine q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/160 - (-72)\/(-10). Suppose -65 = 2*v - 7*v + 5*u, -v + 9 = -3*u. Let a be (5\/25)\/(18\/v). What is the second biggest value in a, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 9*m**2 + 20*m - 10. Let g be c(6). Let a be (0 + 1)*(-1)\/(-2). What is x in a*x + x**g - 1 - 1\/2*x**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let n(t) = -7*t - 1. What is n(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 2707*v + 280411. What is l(768)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13827 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 + 10155 = 29*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 186 - 36 - 11*d + 2*d**2.\nAnswer: 2*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = 2*d. Let l = 10 + -8. Put 1, d, l in increasing order.\nAnswer: d, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n**3 + 7*n**2 + 7*n - 14. Let w(h) = 7*h**3 - 3*h**2 - 3*h + 7. Let c(u) = -3*q(u) - 7*w(u). Differentiate c(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6038 = -30*o + 28*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/(2\/2). Let g = -1 - 2. Suppose -b = b + 10. Sort b, i, g in increasing order.\nAnswer: b, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 315\/23 - 5611\/230. Find the common denominator of 65\/4 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, t: 3, u: 1}. Give prob of sequence ttt.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*h - n, -h - 3*n = -5*h - 52. Suppose 0 = 3*i - 6*i + 48. Let j = i + h. Solve -6 = 3*w - j*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39638 is divided by 13195?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1584 and 864?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 + 12.77. Let b = u - 14. Suppose -5*i + 9 = 3*a - 2, 0 = 5*a - 4*i - 6. Put 0, a, b in ascending order.\nAnswer: b, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-12) - 0) + 0. Let u = 8 + -11. What is the biggest value in y, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 52 - 7. Suppose -3*l - 2*q + 28 = -25, -3*l + 4*q = -83. Let o = -17 + l. What is the remainder when d is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 - 172. Suppose -4*j = n - 1517, 7*j + b*n + 374 = 8*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -5, -3221?\nAnswer: -3221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 3*x**2 + 200*x + 6*x - 206*x + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 333, 1, -0.5, -0.29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -197\/80996 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*d**2 - 81*d**2 - d - d**3 + 115*d**4 - 114*d**4 to the form x*d**2 + y*d + j*d**3 + v + p*d**4 and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 + -0.9. Let v = u + -0.2. What is the second biggest value in 2, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 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: Let d(v) = 2764*v - 22172. Determine d(8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 81. Let y = a + 29. Let x(c) = -y*c**2 + 3*c - 2*c - c. Let k(j) = 4*j. What is x(k(i))?\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650081?\nAnswer: 7, 378583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -955*v**3 - 5*v**2 - 112*v**3 - 1 + 2 + 3*v**2 + 3*v**2 as i*v + z*v**2 + k*v**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.03 - 0.03. Let y = -1.02 + -40.98. Let z = y + 39. Which is the nearest to k? (a) z (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13717 + -13609. Let v be (3 - 3\/3)*79. Suppose 3*t - v = 58. What is the highest common divisor of t and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 - 7 = 3*u, 2*u - w + 8 = 0. Which is the closest to -3\/7? (a) u (b) -8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(405)*2 + sqrt(405) - sqrt(405))**2 + 5 + -3 + 2).\nAnswer: 6476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2*(4 + -2). Let a be 2\/(-4) + (-1)\/2. Let x(t) = -t - 7. Let u be x(-7). Put k, a, u in descending order.\nAnswer: u, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18 = 34. Suppose -q = -5*q + z, -8797 = -5*v - 3*q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 2*(sqrt(91) - sqrt(91)*-3))\/(sqrt(343)*-1).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {h: 3, v: 3, m: 3, u: 6, l: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -15, -3, -49, -5 in decreasing order.\nAnswer: -3, -5, -15, -26, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -2. Let y = -3 - -7. Put y, -5, s in ascending order.\nAnswer: -5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215542 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvcyyvycy. Give prob of picking 2 y.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*q**2*w**2 - 2*q**2 + 53*q*w**5 - 4*w**2 + 2*w - 2995 wrt w.\nAnswer: -76*q**2 + 1060*q*w**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-10) - 2)\/(11\/3410).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -5605.\nAnswer: -5604.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*-2*sqrt(70))\/((2*(sqrt(70)*1 + sqrt(70)))\/sqrt(7)).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 395, 580, 761, 938, 1111, 1280?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) + 3*2*sqrt(121) - sqrt(121))*-4)\/(sqrt(99)\/sqrt(144) + (sqrt(55) - (sqrt(55) - -2*sqrt(55)))\/sqrt(5)) + 5.\nAnswer: 5 + 192*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.109 - 0.009. Let l = 2.93 + 0.07. Put l, z, 0 in increasing order.\nAnswer: 0, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j*(j*j**3)\/j*j)\/j*j*j))\/j**(-3)*(j*j*j\/(((j\/(j*(j*(j*j\/(j*j\/(j**(-1\/9)*j*j)))\/j*j)\/j)*j)\/j*j)\/j))**35 assuming j is positive.\nAnswer: j**(1522\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 60*k**2 - 29*k + 80. Determine y(-19).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*-1*4.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2032235?\nAnswer: 2032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v - 12 = 0, 39 = -t - 4*v. Let i be (-18)\/t*6\/1. Solve 5*j + 25 = y, -y = -i*j + 9*j + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 3*p**3 + p**3 - 3*p**2 + 5*p**2 as d*p + k*p**3 + i + v*p**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4898)\/(-316) - 14\/28 - 4774\/318.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10764 is divided by 1324?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 38\/4 - (832 + -824)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(288) + 3 - sqrt(18)) + 0)**2 - (5 + (sqrt(576)\/sqrt(2))**2 + (-1*sqrt(648))**2).\nAnswer: -778 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((243\/(-405))\/((-9)\/(-1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 - -6.1. What is the smallest value in 3, w, 2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-606)\/(-9) - 3)*-3. Let w = 353 + d. Let c = w - 91. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1006? (a) -2 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117\/96979501 - -244056090701721\/39664615909. Let u = o + -6153. Let p = -11852\/1227 + u. What is the common denominator of p and 53\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-112) - 3\/(-7). Let i(p) be the second derivative of 0 + 0*p**3 - 1\/10*p**5 + b*p**2 + 0*p**4 - 2*p. What is the derivative of i(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72457984.\nAnswer: 2, 349, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0875 and -16.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 1 - 4*x + x)*(-x + 158 - 3*x**2 - 158 - x**3) to t*x**4 + w*x**2 + g + h*x + b*x**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -64, -164, -294, -448?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31626212 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 13*q + 74. Let i(a) = -a**2 + a + 1. Let z(l) = 3*l**2 - l. Give q*z(m) - i(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 692\/21 + -226\/7. Sort -7, z, 0.08, 4.\nAnswer: -7, 0.08, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 7 = 4*z, -z + 23 = 3*r. Suppose -27 = r*i - 126. Calculate the remainder when 37 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 0.4, -7.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8521.293 - -8497. What is b rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1 + 4*s + s - 4*s. Let z = -217 + 217. Let r be z*(7 - (-65)\/(-10)). Calculate w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4 + 2790322*u**3 + 2595299884668*u**2 + 804637260141029390*u + 804634664843935043 = 0.\nAnswer: -930107, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -99206*a. Let j(u) = -u. Calculate b(j(q)).\nAnswer: 99206*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -38*u - 22. Suppose -49*c + 47*c - 8 = 0. Let x be g(c). Let d = x + 164. Does 51 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -18. Suppose f - 5*v - 34 = 0, v = -0*f + f - 42. Let l = f - y. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423129 and 3752.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 659926.8 grams in kilograms?\nAnswer: 659.9268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 3*a**2 - 13*a - 33. What is z(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49312 and -1733.158746.\nAnswer: 47578.841254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3*r + p**3*s**2 + p**3*s + 531*p**3 + 74*p*s**3 - 20*p*s + 55037070*r*s**3 wrt r?\nAnswer: -2*p**3 + 55037070*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*u = -1 - 2, -6 = 3*u. Let d be 1 + 0 - (i + 0). Let y(v) = -6*v**2 + 3*v**2 + 2*v**d. Let m(s) = s**2. Determine y(m(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 6*b**2 + 16*b + 15. Let p be c(-8). Suppose -4*t - 20 - 16 = 0. Let w = t + p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 770291570 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4557, 2, 1 in increasing order.\nAnswer: -4557, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + m + 33. Let v be y(4). Suppose -2 = 3*h - v*w, 4*w - 3 = 1. Solve d = -s - 0*d - h, -3*d - 13 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 800 = -4*q - 3*f, -3*f + 400 = 2*q. What is the remainder when q is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 4*a**2 + a - 4. Let x be p(-3). Let l(h) = -3 + 4*h + h**2 + x + 4. Calculate l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.201835868 to three dps.\nAnswer: 2.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((3 - -3) + -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5\/6*f**3 - f + 0*f**2 - 1\/3*f**4 + 0. What is the second derivative of a(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 30. Suppose -k + c*w + 46 = 2*w, -203 = -4*k - 3*w. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(1\/3)\/c*c)\/c*c)**(-2\/107)*(c**(2\/9))**(-2\/15))**(27\/2))**(-3\/32) assuming c is positive.\nAnswer: c**(777\/17120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 126, 450, 1080, 2118?\n\"Answer: 17*z**3 + z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-28)*(j\/(j\/(j**44\/j))*j)\/j*(((j**(4\/9)*j)\/j)\/j)\/((j**(8\/5)*j)\/j) assuming j is positive.\nAnswer: j**(578\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*c - 7 = 0, -5*c = -4*z - 64 + 35. Put 3, 5, z, 59 in decreasing order.\nAnswer: 59, 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318766*i**3 + 493*i + 400.\nAnswer: 1912596*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-11 + 27 - 36)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 + 3*c - 2. Let q be i(1). Let h = 3 + q. Let l(n) = -2*n**2 + 1. Calculate l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724887 is divided by 8840.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 327587744581 and -218?\nAnswer: 327587744799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-5)*2\/(-1). Suppose -g - 10 = -3*n, 8*g - 6*g = 2*n - 12. Let z(y) = 3 + y**3 + 34*y**n - 37*y**2 - 2 - 3*y. Calculate z(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135380061 rounded to 4 dps?\nAnswer: 0.1354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*b - 972, -3*b + 88 = q - 102. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a + 94. What is l(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -9335.\nAnswer: -14\/9335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.40661 - -123.\nAnswer: 124.40661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(243) + 3 + -5 + 2 + sqrt(243) + 0)**2.\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r**3 - 56*r**2 + 61*r - 55. Let v(x) = 18*x**3 + 37*x**2 - 40*x + 37. Let n(c) = 8*v(c) + 5*y(c). Determine n(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.6 times -19313?\nAnswer: -5380601.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:28 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 12 = -4*k, -14225*x = -14223*x + 5*k + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**4)\/m)*m*m*m\/(m*m**(-13)))**(22\/5) assuming m is positive.\nAnswer: m**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6. Let o(r) = 4*r - 2. Let i(m) = m - 1. Let q(w) = -3*i(w) + o(w). Let v(h) = 2. Let s(z) = -2*q(z) + v(z). What is j(s(y))?\nAnswer: 4*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -3211330413?\nAnswer: 3211330403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 2*y - 2 + 2*y + 3*y. Let k be j(-2). Find the second derivative of 4*g**2 - g**2 - 2*g**2 + k*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 13) to base 2.\nAnswer: -10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -575865 (base 9) in base 12?\nAnswer: -147b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v - 56*v + 3 - 3 + v**2.\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n + 2*n. Suppose n*k - x - 26 = -0*x, 2*k + 5*x = 14. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2972 is divided by 1197.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((6 + 16\/(-3))\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61098 by -15.\nAnswer: -20366\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13977.\nAnswer: 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 125, 240, 397, 602, 861, 1180, 1565?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30151 in -0.1, -5, -2\/9, 3.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153847040 times -2?\nAnswer: -307694080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 59*o - 6*o**2 + 59*o.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (-58 + 60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/351832 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h**3 + 55 + 66 - 92 in the form b*h**2 + q*h + v + r*h**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f - 40*f - 63 = 0. What is the remainder when 14 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1 - 4*l**2 - 3 - 5*l + 6 + 3*l**2. Give j(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u**2 + 268*u + 8300 = 0 for u.\nAnswer: -83\/6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/16)\/((-1)\/(-2)). Let l = 7 + v. Suppose 4*u - m - 49 = -4, -l*m + 20 = 4*u. What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2*n + 3*n - 3*n) + 4 + 3*n - 4 + 2*n + 3 - 3 - 1 as b*n + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7272*r - 916255. What is m(-126)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhh when three letters picked without replacement from lhhhihxxihxxi?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-22)*12\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-6))\/((16\/12)\/(-4)). Suppose -o*y + 2*x = -257, -2*y = -7*y + 5*x + 260. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (48 - 61 - (-31 - 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 x when three letters picked without replacement from {x: 2, d: 1, m: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 72*k**3 - 582*k**2 + 1872*k - 2079.\nAnswer: -3*(k - 11)*(k - 7)*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j + 2*j + 2*j. Let q(n) = -6*n**2 - 7*n + 7. Let d(f) = 5*f**2 + 6*f - 6. Let u(i) = -7*d(i) - 6*q(i). Give u(x(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdw. What is prob of picking 1 z and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = -102. Let z = m + 47. Suppose -137 = -2*a - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from mkqqkmqmcmcqqkqmkm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.085 times -0.04\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*1*sqrt(66) + sqrt(66)))\/(sqrt(864)*-1*-3).\nAnswer: -5*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*c + 5, -c + 2*t = c - 2. Solve 0 = -i - n + 6*n + 16, 3*n = -c*i - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 18, 0.1, 2\/13, 4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2) - 1)*-2. Suppose -n - f*w = -0*n - 7, 3 = 5*n - w. Let t be (n - -1*9\/(-6))*6. Put 3, -17, t in decreasing order.\nAnswer: 3, t, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-86)\/7267)\/((6\/(-13))\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(187) + 3*sqrt(187)*1))\/(sqrt(99)\/(sqrt(18)\/sqrt(2) + sqrt(9)) + (sqrt(330)\/sqrt(6))\/sqrt(5)).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4435.939 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-98)\/48) - 4. Let g be (8 - -15) + (-1991)\/88. Which is the nearest to m? (a) -1\/3 (b) 2\/7 (c) g (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 3*c + 2. Let z be f(4). Suppose -5*r + 2*j + 520 = 0, r - z*j - 81 = -j. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21009615 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16109329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3205 times -1.3\nAnswer: 4166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1501 divided by 3927\nAnswer: -1501\/3927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + 2*s - 15. Let b = -14196 - -14194. Let r(m) = m**3 + m + 1. Calculate b*r(i) + k(i).\nAnswer: -i**3 + i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365844 and 42540?\nAnswer: 1829220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -y + i + 47, 5*i = 4*y - 195. Suppose -2*a + 4*m + 14 = 0, -3*m = 4*a - 7*m - 28. Let l = 17 - a. What is the highest common factor of l and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/22*4)\/(3\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -14) + (3 - (-12 + 2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-86)\/(-28) - (-9 - -9) and -91\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 127560*z + 765343. What is w(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose 0 = -4*v, -7*l - 5*v = -x*l - 10. Suppose 5*p = 4*p + l. Solve 3*f + 0*s = -s - p, 5*s = -2*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b - 15. List the prime factors of ((-136)\/(-85))\/(b\/(-90)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2093*r**4 + 466*r**4 + 165*r**4 + (0 + 0 + 1)*(0 + 1 + 0)*(0 - r**4 + 0) in the form h*r + j*r**3 + l + q*r**2 + m*r**4 and give m.\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175))**2 - (sqrt(28)\/sqrt(4)*-5 + sqrt(7)))*1.\nAnswer: 4*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Let w(u) be the second derivative of -2*u**5\/5 + u**4\/6 - 2195*u. Calculate -2*w(q) - 4*y(q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 443 = 5*x, -380 = -4*x - 142*f + 138*f. What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.41 + 0.01. Let u = 1.39924 + l. Round u to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 56 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*o + 38, 0 = 2*j - 0*o + 5*o + 37. Let l = -2 - j. Let c = 10 - l. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77497370.\nAnswer: 2, 5, 7749737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, 2, -1, -4 in decreasing order.\nAnswer: 2, -1, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*i + 3*i + 6, 9 = 2*p - 3*i. Let j = 9 - 7. What is the derivative of -j + 7*w**3 + 22 + 5*w**p - w**3 wrt w?\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 2*f + 754*f**2 - 755*f**2 - 4*f + 69 + 4*f in the form d + p*f + t*f**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - 50\/(-15). Let k be ((-12)\/9)\/(-2)*c. Suppose 700000 = -k*a + a. Round a to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t + 18*t + 11*t - 12*t.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*j - 12 = 0, 91*j = -3*l + 90*j + 6. Let t be ((-1)\/(-10))\/(1\/(-538)). Let f = 54 + t. Sort f, l, -5 in descending order.\nAnswer: l, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 642?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2026*k**2 - 2 + 8*k**3 - 87*k**3 + k**4 + 2025*k**2 + 0 in the form f*k**2 + h + a*k**3 + w*k**4 + g*k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(4 + sqrt(1573) + 3 + 2 + sqrt(1573) + sqrt(1573))*6)**2.\nAnswer: 197208*sqrt(13) + 4614424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 + 11*h**3 - 26*h**3)*(2 + 3 - 6) + 6*h**3 + 0*h**3 - h**3 + 5*h**3 - 3*h**3 + 0*h**3.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2081 = -10*d + 739. Factor -5*m**4 + 0*m**5 - d + 10*m**2 + 10*m**3 - 5*m**5 + 0*m**4 + 277 - 5*m.\nAnswer: -5*(m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, r: 2, o: 11}. What is prob of sequence oeo?\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/21 and (0 - 50\/(-135))*-3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1462*f**2 - 70*f + 11. Let v(n) = -1463*n**2 + 84*n - 13. Calculate 6*o(b) + 5*v(b).\nAnswer: 1457*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*x + 265*x - 325*x + x**2 - 2*x**2 to the form g*x**2 + s*x + v and give s.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 20\/(-8))*0. What is the nearest to -1 in o, -1\/2, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*t = -8, 5 = -5*g - 2*t + 4*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61534\/(-1980) - -29 - 52\/(-24)?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -91*b - 7980. Calculate n(-88).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*3)\/((2*sqrt(24) + sqrt(24))\/sqrt(8))*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -499792*d**2*m - 24*d**2 + 405*d - m + 37601 wrt d?\nAnswer: -999584*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 2)*(-2*w - w + 4*w) - w + 2*w + w)*(-17 + 17 + 9*w**3).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -34*j - 844. Let q be d(-25). Solve q = -3*g - 4*c, -2*c - 8 = 4*g - 0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -339*a**3 + a**2. Let d be u(-1). Let q be d\/2 - (2 + 0). Let i = -113 + q. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) + -1*sqrt(192)))\/sqrt(4)*-3*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -129 (c) 3\/5 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4)*q)\/(q**(-2\/7)\/q))\/(q**(-3\/7)*q\/(q**5*q)))**(-39) assuming q is positive.\nAnswer: q**(-1014\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + 4. Suppose -30*n = -c + 49. Let y = 9 - 5. Solve 0*h + z + y = -h, -n*h - 4*z - 14 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 12444183?\nAnswer: 12444183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1679 - -11756\/7. What is the second smallest value in -21, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1721465?\nAnswer: -344293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -1 (c) 16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148*(-73)\/802197*((-12)\/16)\/(2\/4)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315459?\nAnswer: 3, 35051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2570095 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2300655 (base 7) to base 11\nAnswer: 185a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*x = -41, -2*z - 12*x = -10*x - 20. Let y(c) = 0 + 4 - c + 2*c. Calculate the remainder when y(z) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*i + 382*i = 152 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**46\/(p**(-8\/7)*p))\/(p**(-2)*p**(-10)))**(-25) assuming p is positive.\nAnswer: p**(-10175\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 2 + -2 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3397 divided by 91450?\nAnswer: -3397\/91450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/(-74))\/(((-18)\/20)\/(5\/(400\/(-4128)))).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/14 and -127\/1392.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 25176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*a - a**2 + 3*a)*(-1 - 2 + 1) - a**2 + a - a)*(5*a + 14 + 3*a - 10*a) to the form i*a + s*a**2 + l + f*a**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277 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 -16118*r + 31903*r = 15948*r - 8313 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163956.\nAnswer: 2, 3, 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/61 in -3, 2\/11, -0.1, -22, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*g - 18, -12*g = -13*g. Let p(s) = 35*s + 6. Let c(o) = -174*o - 29. What is b*c(v) - 29*p(v)?\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118 + 181 + -65)*((-183)\/(-6))\/1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/5 + 162*m**3 - 74838*m**2\/5 - 1452946*m\/5 - 6411024\/5 = 0.\nAnswer: -9, -8, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -161 in 2\/7, -3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 158, 246, 350, 476, 630?\n\"Answer: h**3 - h**2 + 74*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -29. Let t = -9 - a. Suppose 5*b - t*b = 288. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 3, o: 1, g: 3, z: 3, c: 6}. Give prob of sequence zuuo.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13013879 or 13013878?\nAnswer: 13013879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.02 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 748 = 4*v, -10 = 79*v - 77*v. What is the tens digit of (1\/(-1) - y)\/((-19)\/(-133))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3715737*h**2. Let o(b) = 20*b. Calculate d(o(f)).\nAnswer: -1486294800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 75370000 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:40 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 > -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 498\/19? (a) -39 (b) 4\/5 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 339575672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = 3405*h - 3370*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6497, -11348, -16199, -21050?\n\"Answer: -4851*f - 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 84141.7?\nAnswer: 84139.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0066? (a) 0.5 (b) -2\/5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-12))\/(8 - 9)*(-434)\/2. Solve 0*l + 31*l = k for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1\/4 (b) -2\/5 (c) -2\/33 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/8, 250, -1, 2\/7, -4752?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 690\/78 - (67\/(-13) - -5). Let k(g) = -g**3 + 11*g**2 + 11*g - 25. What is the tens digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 220824.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - (-3413916)\/56. Let c = -60820 + y. Let x = c - 142. What is the third smallest value in -4\/7, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 6 - 6 - 1 - -8. Is u < 4\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -92*o**2 - 8823*o + 141. Does 4 divide m(-94)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 9*c - 34*c)*(-1 - 1 + 5)*(-1 - 149 + 88 - 178).\nAnswer: 23760*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1332 or -1285?\nAnswer: -1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21*(12\/4)\/(-1). Let c = 179 + i. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2221*v**6\/360 + v**5\/60 + v**4\/12 - 31*v**3\/3 + 1. Let o(z) be the third derivative of n(z). Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*j + 4*x, -5*j + x + 25 = 3*x. Suppose -13 = 2*i + 5*g, j*g = -2*i + 3*i - 10. Is ((-20)\/6)\/(i\/(-27)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 45. Suppose -2*t = -3 + 1. Let v be (-364)\/(-70) + t\/(-5). Solve -a = -0*a - m, v*m - z = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 362, 355, 342, 323, 298, 267?\n\"Answer: -3*y**2 + 2*y + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 169*j - 678. Give l(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 45*d**4 - 168*d**3.\nAnswer: -3*d**3*(d - 8)*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 1\/1061, 1, 4, -2\/17, -2, 2.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-25 - (-42 - 0))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2367572686888.\nAnswer: -2367572686887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1255909 or 1255907?\nAnswer: 1255907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -450.4 + 450. Sort 0.3, -4\/7, -0.74, c.\nAnswer: -0.74, -4\/7, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65) - sqrt(65))*-4)\/(sqrt(25)\/sqrt(5)*-6))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u + 10 = 0. Suppose 11*g - u*g - 45 = 0. What is the second derivative of -128*q + g*q**5 + 67*q + 66*q wrt q?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1276 and 13\/1116840.\nAnswer: 356271960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3262, -6511, -9760, -13009, -16258?\nAnswer: -19507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 10936301.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -37*x**3\/3 + 36*x**2 + x - 331. What is the second derivative of w(l) wrt l?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, q: 4, j: 1, n: 1}. Give prob of picking 1 q, 1 s, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 + -494. Suppose p*z - 37*z = 66. Solve g - 1 + z = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 + 1380*v - 95220 = 0.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -4*v - 2*s, 0 = s - 1. Let p(a) = v*a + 0*a - a**2 - 9*a**2. Let c(q) = q**2. Determine c(p(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*j + 17 = 0, 0 = -4*o - 5*j + 10*j + 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2. Let l(v) = -2*v**2 + 4*v**2 - 4*v**2. Let j be 3\/(-9) - (-16)\/3. Suppose -35 = -36*a + 37. Calculate a*k(n) + j*l(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.3.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/78)\/((-26)\/(-273)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (3 + 2)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45480 by -379.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + 523. Suppose 14*l = 19*l - f. What is the greatest common divisor of 40 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1493*g**3*u + 145*g**3*y**2 + 2*g**2*u*y - g*u - 147*y**2 wrt y?\nAnswer: 290*g**3*y + 2*g**2*u - 294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from xfhxfhhfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*z - 1494, v + 3*z - 163 - 340 = 0. Round v to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 + 2*h**2 - 3*h. Let j(m) = 12*m + 62. Let p be j(-5). Let q(b) = -b**3 - 5*b**2 - 8*b**3 + 10*b - 3*b. What is p*q(f) + 5*w(f)?\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 351529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66862.\nAnswer: 2, 101, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**8\/6720 + t**7\/630 + t**6\/360 - t**5\/20 + t**4\/3 - t. Let v(y) be the third derivative of w(y). Calculate v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -565642*t + 565642*t - 4*t**2. Let f(o) = 231*o. Calculate f(r(y)).\nAnswer: -924*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 549*z**2 + 80280*z.\nAnswer: -z*(z - 120)*(z + 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54103487?\nAnswer: 54103487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 42 in increasing order.\nAnswer: -4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*a, -q - 2*a = 3*q + 14. Let p be ((-6)\/24)\/(2\/(-8)). Sort p, q, -3 in increasing order.\nAnswer: q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/963 and 1\/321.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 597*u**2 - 7*u**3 - 597*u**2 - 3*u**4 + (-3*u + 3*u**4 + 3*u)*(8 + 5 - 26) to the form x*u + k*u**3 + a*u**4 + n + r*u**2 and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -7) + -3 - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 4*o - 4. Let d(b) = 3*b + 1. Let l(j) = -j**2 + 15*j + 4. Let v(t) = 11*d(t) - 2*l(t). Determine 3*n(x) + 4*v(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*i + 47, 0 = -2*f + f - 3*i - 75. Let b = f - -91. Let o = 43 - b. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33) + (-12)\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 + 4*u + 1. Let w(o) = 11*o**2 + 9*o + 1. Let l(f) = -9*a(f) + 4*w(f). What is the first derivative of l(y) wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 0, -38319, -7 in descending order.\nAnswer: 0, -3, -7, -10, -38319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(4 + -3)*1. Let n(r) = r**2 - 6*r + 1. Suppose 4*a = -0*a + 24. Let x be n(a). What is the closest to -1\/3 in -2, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**2 + 0*b**2 + b**2 - 4*b**2 + 4*b**2 + (4 - 4 - 2)*(-3*b**2 + 6*b**2 - b**2).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61722027487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*d*q**4 + 3*d*q**3 - 7*d - q**4 + q - 1 wrt q?\nAnswer: -924*d*q**2 + 18*d*q - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from fuxck?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**2))**(-1\/7)\/((h\/h**(-1\/3))\/h**(-3\/7)) assuming h is positive.\nAnswer: h**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -107 + 111 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 30*s + 60 + (0 + s + 0 + (0 - 1 - 1)*(-s + s - 2*s) + 2*s + 1 - 1 - 1 + 1 - 4*s)*(1 + 1 + 0) as l + g*s and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*y + 19. Suppose 20 = 5*b - y*g, -7 - 3 = -b - 5*g. Suppose b*w = 2*w + 12. Solve -w*z = -2*z - 2*k, 3*z - 8 = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177877561 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.4985 millimeters to micrometers.\nAnswer: 92498.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*i + 1097 = 0, -368 = -n + 5*i - 4*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111415 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31524*r**4 - 2*r**2 - 1875 wrt r.\nAnswer: -756576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 6600*q**2 - 52608*q - 105088.\nAnswer: -4*(q + 4)**2*(q + 1642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 + 5. Let h be 1 + -4 - 88\/(-30). Let o = 3022.1 + -3022. Which is the nearest to o? (a) h (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24838367.\nAnswer: 23, 1079929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/177 and 43.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(-2\/29) assuming p is positive.\nAnswer: p**(-4\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, j: 1, g: 1, x: 4}. Give prob of sequence jxb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -1 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/67 in -188, -28, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2700631km in nanometers?\nAnswer: 270063100000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*a**3 + 29 - 86 - 126 - 39 wrt a?\nAnswer: -528*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -13. Let p = b + -12. Solve d + 2*d - 6 = 3*w, -5*d - 2*w - p = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039354 rounded to seven decimal places?\nAnswer: -0.0000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 2. Let g(a) = -a**2 + a + 1. Let u be g(0). Let h be u\/3 + (-10)\/(-6). Suppose -h = -k, 2*k = o - 2 + 7. Let c(l) = l. What is o*b(p) + 2*c(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + -11. Let y = t + 22. Let i = 199 + -1793\/9. What is the second smallest value in i, -1\/5, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -1\/6 (c) -0.453 (d) -1\/3 (e) 0.7 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -32 - -59 - (-3 + 3 - -79).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*z - 5. Let f = z + 98. What is the remainder when f is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/28)\/((-12)\/42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 50*g - 65 + (-1 + 2 - 2)*(0*g - 2*g + 4*g) - 3*g - 6*g + 3*g - g - g - g)*(-6 + 6 - 2).\nAnswer: 122*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:02 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -0.06 (b) -1\/11 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -82. Let h be -2*(5 - p) + (-2 - -1). Let d(q) = -4*q**2 + 1. Let m(t) = 3*t**2 - 1. What is h*d(x) - 7*m(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.11 * 0.0779.\nAnswer: -6.084769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.023 - -67.977. Let w = l - 24. What is the second biggest value in 0.3, -2, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h**4*t + 40*h**3*t**2 + 595*h**3 + 8*h**2 - 35337*t**2 wrt h.\nAnswer: 288*h*t + 240*t**2 + 3570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 562*w - 2*w**3 + 7*w**2 - 1207*w.\nAnswer: -2*w**3 - 645*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31685186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2731 - 2717. What is the remainder when a is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2)*m)**1 assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(-65)*(-2 + (-396)\/32). Sort 4, y, -0.3, -4 in ascending order.\nAnswer: -4, -0.3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 30, 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*w - 75, -81*v + 79*v - 2*w + 10 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.692 + -10.308. Which is the second smallest value? (a) -0.6 (b) 1\/2 (c) -2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5184939 or -5184928?\nAnswer: -5184928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + 13\/(-5). Let t be 1\/(x*(-2)\/18). Suppose -u - 3*u = 0. Solve 2*h - 3*l - 13 = 0, u*l = -t*h + 4*l + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4943 - 4948) + (51 - -1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**5 + 8*f**4 + 34*f**3 - 6*f**2 - 90*f - 48. Let g(h) = -h**5 - h**4 - h**3 - h**2 - 1. Let s(b) = -6*g(b) - o(b). Suppose s(j) = 0. Calculate j.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let a be j(5). Suppose -6*k - 3 = -a*k. Let h(y) = 89*y + 2057. Let r be h(-23). What is the closest to r in 5, k, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/106 + 601\/530. Which is the closest to r? (a) 2 (b) -5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 530657812, 530657805, 530657794, 530657779?\n\"Answer: -2*q**2 - q + 530657815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 - 6*b - 4. Let d be y(-4). Suppose -d*p = -4*w - 220, -3*w - 218 = -4*p + 2*w. Calculate the highest common factor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qplxepeppxexqpxepepl. Give prob of sequence lp.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6231?\nAnswer: 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -76.2?\nAnswer: -76.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*m = 155, -463*p + m + 86 = -460*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0189423031 rounded to 5 dps?\nAnswer: -0.01894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/36*1*(-156)\/(-117).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, -2*f + 0*f + 3*j + 14 = 0. Let q(u) = -u**3 + 6*u**2 + 6*u + 10. Let c be q(f). Factor 0*d + 2\/5*d**2 + 0 - 2\/5*d**c.\nAnswer: -2*d**2*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from ooxooqnqqqoooqooxqq.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-12)\/(-105) - 14\/(-49). Put g, 1, 0.1 in decreasing order.\nAnswer: 1, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)*x*x)**17)**(-2\/97)*(x*x*(x\/(x\/(x*x*x**2*x))*x)\/x)**(-31\/5)*(x\/x**(-2\/5))**19 assuming x is positive.\nAnswer: x**(-110684\/6305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56513997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 - 8\/3*n**3 + 0*n + 1\/336*n**8 + 0*n**4 - 1\/70*n**7 + 4\/15*n**5 + 2*n**2 - 1\/30*n**6. Determine u so that m(u) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) + 3*2. Suppose 0 = 9*f - 159 - 84. Suppose -f*h = 20*h - 94. Solve 0 = h*j + g, -n + 0*j + 4*j + 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, e: 3, s: 3}. Give prob of picking 2 k and 2 s.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100100011011110110 (base 2) to base 15.\nAnswer: -81d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**5 - 61*l**2 + l + 308?\nAnswer: -60*l**3 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = k - 2, 0 = -5*k + 3*m + 41. Suppose 5*w = -5*y + w + 13, -y + k = 3*w. Let f(r) = 3*r + 2 + y + 3. Give f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 2. Let f(i) = 59*i**3 - 2*i**2 + 1. Let n be f(-1). Let a be (-14)\/(-77) + n\/(-33). Determine t(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Suppose i = 5*g + 140, 5*g + 63 + 77 = 2*i. Let f be 0\/(g\/49*(-7)\/2). What is the third smallest value in f, -1\/4, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/7)))**7*g**(2\/19)*g*g**(2\/15) assuming g is positive.\nAnswer: g**(638\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 5f?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*a = -156*a + 9750 + 21690 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10567 - 136?\nAnswer: -106a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28992, 28182, 27370, 26556, 25740, 24922, 24102?\n\"Answer: -z**2 - 807*z + 29800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-7))\/(l*l*l**(2\/3)*l))\/(l\/l**0*l)**(-2\/9))**28 assuming l is positive.\nAnswer: l**(-2324\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30590.58 and -324947.\nAnswer: -294356.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 328 - 323. Which is the smallest value? (a) -4 (b) 24 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265, -297, -333, -373, -417, -465?\n\"Answer: -2*v**2 - 26*v - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Let i be d(6). Let p be 47\/(6016\/(-24))*8\/(-2). Factor -3\/2*n**2 - p*n + i - 3\/4*n**3.\nAnswer: -3*n*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 8*k - 6. Let w be z(-9). Let p be 6\/15*(7 - 2). What is the second derivative of -9*f**p - 2*f + f**2 + 0*f + w*f wrt f?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from ykyykyykky?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11651*m - 4327*m + 913*m + 18841*m.\nAnswer: 27078*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 131. Let y = 44 + i. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-91.38\nAnswer: 118.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l + 1. Suppose 3*q = -2*q - 10. Let y be r(q). Let f(d) = -4*d - y + d + 1. Let c(w) = -w**2. What is c(f(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-10))\/((-14)\/10). Let z = 125 - 124.7. Put l, z, 1\/2 in descending order.\nAnswer: l, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 16*g + 2*b = 0, 0 = g - 3*b. Let r(s) be the third derivative of 0*s**4 - 5*s**2 + 1\/2*s**3 + 0*s + g - 1\/20*s**5. Solve r(u) = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-13) + (11880\/(-1989))\/(-22). Which is the fourth biggest value? (a) -5 (b) 0 (c) x (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 626599820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3*s + 9*s)*(s**3 - 2*s**3 + 5*s**3) + (2 + 3*s**2 - 2)*(-4*s**2 + 2*s**2 + s**2).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 6. Let w(y) = -8*y - 1. Let b(m) be the third derivative of 17*m**4\/24 + m**3\/2 - 27*m**2 - 606*m + 2. Give s*w(u) + 3*b(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 35*k = -735 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2dbd (base 16) to base 15\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-285)\/380 + 1\/1)*4\/(-438)*-6.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -27857870.\nAnswer: 27857870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.067*-22.\nAnswer: -1.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 18, 2, 209 in increasing order.\nAnswer: -8, 2, 4, 18, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 2:13 PM?\nAnswer: 519","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 5430 + -5500. Is n bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433634?\nAnswer: 2, 3, 17, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 63*p + 871. List the prime factors of g(-114).\nAnswer: 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 275 (b) -0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6*69\/(-66) - (-581 + 572)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 23 + 1. What is the remainder when 17 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/19 + -48\/95. What is the third biggest value in -1\/7, 1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:24 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 11*x - 9. Let l = -389 - -411. Is f(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 22*p - 107. Let s be v(5). Solve -s*k = -18 + 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630278989 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258 + -87 + -47 - 40?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -109168562.3 from 15.\nAnswer: 109168577.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n + 465*n**3 + 31*n + 20*n.\nAnswer: 465*n**3 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5777, 11567, 17357, 23147?\nAnswer: 28937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdyyyyryjbrjryydjd. Give prob of sequence bdy.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691915.\nAnswer: 5, 7, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -e?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, p: 6, w: 1, n: 7}. Give prob of picking 1 w, 1 p, 1 t, and 1 n.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36169 from -3.4.\nAnswer: 36165.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -27. Calculate the remainder when 47 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - w - 16, 0 = -2*m - 4*w - 6 - 4. Let p be m\/4*(-1 + -3). Let i be 15\/(-6) - (0 - p). Which is the nearest to i? (a) 1 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22591726823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 15*x**4 + 0*x**4)*((0*x + 0*x - 2*x)*(3 - 4 + 0) - 5*x + 2*x + 6*x).\nAnswer: 70*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 29 = 5*w. Let o = -29 + w. Suppose -23 = -2*q - 3*i, -2*q + o*i + 3 = -i. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l**3 - 18*l**2. Let n(j) = j**3 - j**2. Calculate a(g) - 18*n(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 441\/10. Let u be 3 - ((-310)\/55)\/(-2). Let l = -4 + 4.5. What is the second biggest value in l, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:06 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -68*b**3\/3 - 51*b**2\/2 + 150*b. Let q be v(-1). Calculate the highest common factor of q and 850.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdg when three letters picked without replacement from {d: 2, g: 4, j: 1, s: 2, p: 1, v: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-2)\/210*-3)\/((-1)\/(-55)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23\/9, 109, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u**3 - 5*u - 5. Let k(p) = 283 + 24*p**3 - 147 - 7*p - 143. Give -7*a(n) + 5*k(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 4. Let h = 9 - 13. Let j be n(h). Solve j*l - 9 = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 divided by -2040?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237*-91.\nAnswer: -21567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*f - 76 = 0, 3*n - 2*f - 34 = 5*n. Let o(m) = -m**3 - 12*m**2 + 9*m + 190. What is the tens digit of o(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3936 divided by 8\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/33 and 31\/18326?\nAnswer: 54978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - 2*h**2 + 12*h - 16. Let l(z) = z**3 + z**2 + z - 2. Let d(r) = g(r) + 4*l(r). Factor d(t).\nAnswer: -2*(t - 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-6 - (2 - 3)) + 6). Let z(w) = -27*w**2. Let x(c) = 13*c**2. Give n*x(h) + 2*z(h).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*33\/(-22)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 147*f. Let l(b) = 4*b**2. Calculate p(l(m)).\nAnswer: 588*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -162. Let l(o) be the second derivative of 1\/6*o**3 + i*o**2 + 0 + 3*o. Let u(b) = -b. Calculate u(l(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4192*t**2 - 4 + 2 + 4191*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 29*d**2\/2 - 166. Let p(i) = -12*i**2. Calculate h(p(m)).\nAnswer: -348*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 122400?\nAnswer: 122401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13641*z**2 - 13648*z**2 - 13681*z**2 + 40969*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*a**4 - a**2 + 26 - a**2 - a**5 - a**5 + 223 + 288 wrt a.\nAnswer: -120*a**2 - 3096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + sqrt(13) + sqrt(13)*-1 + 0)*3*-6 + 6*((sqrt(52)\/(sqrt(4) + sqrt(16) + sqrt(4)) - ((sqrt(104)*1)\/sqrt(8) + sqrt(13))) + -3) + 3.\nAnswer: -15 + 159*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -8*p**5\/11 - 889178*p**4\/11 + 141462*p**3 - 40418*p**2 - 222298*p\/11 = 0.\nAnswer: -111149, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19807833 a multiple of 1731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3113 and 566?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 13*c + 75*c - 22*c - 19*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 22*n**2 + 286*n - 4635. Calculate u(19).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4acdd9c9 - 5?\nAnswer: -4acdd9ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + g - 1005, -3*g - 640 = 2*z - 1310. Let w = 1103 + -600. Let v = w - z. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1222.4 + -1217.4. Let l = 0 + -4. What is the second biggest value in l, v, 4\/9, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 6141\nAnswer: -3070.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*u**2*z**3 + 2*u**2*z + 1126*u*z**2 - 29*z**4 + 2*z**2 wrt z?\nAnswer: 1062*u**2 - 696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/182)\/(3*4\/(-26)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124 + 160 + 288)*(-5*d**2 + 2*d**2 - d**3 + 0*d**3).\nAnswer: -572*d**3 - 1716*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 4*p - 4. Let m be u(1). Let f be 0 - m\/(20\/(-404)). Let o = -69 - f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*k + 31. Let g be k\/(-5) - (-2)\/(-5). Is 1614\/(-3)*-1 - g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-649)\/3 - 11\/(-33). Let s = q + 218. Solve -6*a + 20 = -s*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, 44, 134, 260, 422?\n\"Answer: 18*t**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 - 23*i**4\/24 - i**3\/3 + 356*i**2. Give h(22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 186\/24 - (-65)\/(-100)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2\/3*v**4 + 2\/3 + 0*v + 0*v**3 - 4\/3*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503861.\nAnswer: 19, 23, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 260017931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -54152?\nAnswer: 54150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-30)*u)*u\/(u**(6\/11)\/u) assuming u is positive.\nAnswer: u**(346\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3026.39 - 5.\nAnswer: 3021.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2 - k**2 - 7 + 5. Let z(q) = -15*q**2. Give z(v(x)).\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - 8*k - 1. List the prime factors of u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -42742.\nAnswer: 39\/42742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75) + (sqrt(192)*2 - sqrt(3)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u. Let q be r(-3). Let v(l) = 3 - 5*l + 4 + 2*l - 6. Let z be v(-3). What is the greatest common factor of q and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/(2\/(-4)). Let w = -16 - -24. Solve -w = z*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 19. Let s be d(7). Let h(i) = i**2 - 9*i + 5. Let y be h(5). Let v = s + y. Solve 0 = 2*t + v - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -458*h + 107. List the prime factors of o(-15).\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**0*a))\/a)**(-2\/101)\/(a**1\/a*a*a)**(-5))**23 assuming a is positive.\nAnswer: a**(23276\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69614988.\nAnswer: 2, 3, 2239, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*q - 4*q + 4 - 12 wrt q?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and -42\/25007.\nAnswer: 250070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, r: 4}. What is prob of sequence sssr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 15 - (10 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2778 and -79\/30.\nAnswer: 13890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14 - 445\/(-35) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -706?\nAnswer: 705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 11*m**2 - 15*m - 9. What is the remainder when q(9) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3707, 3704, 3689, 3656, 3599, 3512?\nAnswer: 3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6958 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*m - 248 = -252, 0 = 5*s + 2*m - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**26*(f\/(f\/(f*f**(4\/5)\/f)))\/f assuming f is positive.\nAnswer: f**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333\/5 - -67. Let k = -425.91 - -426. Which is the closest to g? (a) 0.5 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 + 269382*c**2 - 8082810*c + 60624450 = 0.\nAnswer: -134721, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + (1 + 39 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrmvatvrmm. What is prob of sequence avm?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6*h = -47*h. Solve -7*p + 12*p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)\/u*u)**(-12\/5)*((u*u**(-5)*u*u*u*u)\/u)\/u**(-1)*(u**(-1\/4))**(-1\/52)\/(u**(-2\/7))**16 assuming u is positive.\nAnswer: u**(24579\/7280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffok when four letters picked without replacement from fjofkyjo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbl when three letters picked without replacement from {l: 1, o: 8, b: 4, q: 1, k: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129037 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, 4 in increasing order.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/188 and 53\/15463782?\nAnswer: 1453595508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:09 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480821818?\nAnswer: 2, 2351, 102259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 136681262 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.463007 to two dps.\nAnswer: -246.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (14 - (-15 + 32) - (-1 - -28))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418 - 5423*z + 1817*z + 1836*z - 418 + 1816*z.\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103039.\nAnswer: 167, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14872, 14852, 14832, 14812?\nAnswer: 14792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3332 * -0.4\nAnswer: 0.13328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1211441 - -5?\nAnswer: -1211435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*h + 223*h + 38760 = 681*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*5*16\/360\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2747*14\nAnswer: -38458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 26 = 158. Put r, 2\/7, -23, 5 in decreasing order.\nAnswer: 5, 2\/7, r, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 22 - (-3 + 0 - (6 - 15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8102, 15874, 23652, 31436, 39226, 47022?\n\"Answer: 3*g**2 + 7763*g + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**6\/600 + p**5\/50 - p**4\/10 + 2*p**3\/3 + 6. Let s(z) be the third derivative of b(z). Factor s(j).\nAnswer: -3*(j - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/9 + 502418*m**2\/9 - 170331382*m\/3 + 14407482206 = 0. What is m?\nAnswer: -252223, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -3*n, 3*n - 143 = 5*j - 163. Solve 0 = -2*s + j*x + 22, 4*s - 25 = s + 4*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let y(b) = -26*b - 6. Calculate y(w(t)).\nAnswer: -78*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 1, q: 4, z: 2, d: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 408 or -3\/5?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2 + -2 - ((sqrt(171) - sqrt(171)*2)**2 + 3 - sqrt(171))) + 0 + -5.\nAnswer: -181 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*a**3 + 1 + ((-1 + 4 - 5)*(2*a - a + a) - 5*a + 2*a + a - a + a - 2*a)*(-349*a - 466*a**2 + 349*a).\nAnswer: 3726*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -11) + -35 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/26*(-48)\/1584)\/(-50). Is 0 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 11. Let l be (0 - -3 - 6) + 8 + 0. Calculate r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 6585732?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.5 - -17. Let w = -1.4 + d. What is the closest to w in 0.4, 2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 2*k + 1. Let s be j(1). Let d = -7 + 10. Factor 2*v - v**3 + 0*v**d - v - 3*v**2 + 2*v**2 + v**s.\nAnswer: v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 68 = 24*q + 3*l, 0 = 5*q - 8*q - 3*l + 153 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:04 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**4 - 28*a**3 - 6*a**2 + 4*a + 3. Let h(j) = 9*j**4 - 27*j**3 + 4*j + 2. Let q(g) = 9*h(g) - 6*v(g). Factor q(x).\nAnswer: 3*x*(x - 2)*(x - 1)*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15170704?\nAnswer: 2, 948169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -2\/9, 2\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 7}. What is prob of sequence pi?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2588 = -412*w - 2768 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -11*p**2 + 8282. Let c(n) be the third derivative of 2*n**2 + 0 + 0*n + 0*n**3 + 1\/24*n**4. Determine m(c(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/9 + 27617032*f**2\/9 + 9205676*f\/3.\nAnswer: 4*f*(f + 1)*(f + 6904257)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-40))\/((-125)\/(-100)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50 - -3?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 957\/55 + 3\/5. Let v = -15 + g. Solve 5*d + 0 = -5*m + 15, 0 = v*m - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 10 + (5 - (2 + 27)) + 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/3 + (-36)\/(-3))*-1. Let g be (-1)\/4 - (o - -9). Which is the third biggest value? (a) 2 (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(57\/2508)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4\/3 (c) -0.4 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 10) to base 5\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208222302.\nAnswer: 2, 3, 197, 176161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**4\/6 + 12*b - 7. Let z(x) = -77*x**2 - x. Determine o(z(w)).\nAnswer: 11858*w**4 + 308*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t - 43*t = 100 - 1430 - 1106 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -101. Suppose -3*h + 11 = g, 2*g - 7 + 1 = -2*h. List the prime factors of (82 - g) + (8 - d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 350 = 82. Let l = 48 + c. Solve 5*m + 4 = -2*a, -5*m + 5*a = -l*a + 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l - 8. Let h be (0 - -12) + -4 + 5 + -4. Suppose 0 = -3*d + u + 1, 0*d - 3*d - h = -3*u. Let v be (-10)\/d - (-2 + (10 - 7)). What is f(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -31*h**2 + 20222*h - 26684. Give x(651).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 8)*(-10)\/25. Let q(b) = -b**3 - b**2. Let j be q(h). Suppose -j*a + 2*s = -96, 2*a - s - 52 = -2*s. Solve y - a = 6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39720979 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -15*y. Let b be 6\/4*(-340)\/(-15) + 4. Let m(u) = -b - 2*u + 38. Give m(r(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688 a factor of 98627847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 1, u: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95681 or -95680?\nAnswer: -95680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656841101?\nAnswer: 109, 223621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 + c. Let q(v) = -27*v**2 + 31*v - 27. Let z(x) = 5*k(x) + q(x). Determine z(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:25 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(34) + (sqrt(238)*2 + sqrt(238))\/sqrt(7)))\/(sqrt(8)*-2 - 2*sqrt(18)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2408 * -0.3\nAnswer: -722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b**3 + 6*b**2 - b + 25. Let l(p) = 7*p**3 + 3*p**2 + 13. Let s(g) = 11*l(g) - 6*t(g). Let d be s(-5). Solve k - d = 3*m, -3*m + m - 10 = -k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 128569*r - 34. Let a be w(-14). Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19487720.998 take away -67.5?\nAnswer: 19487788.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178106117 is divided by 3753?\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2. Suppose 5*w + 6 = 2*z, 21 + 7 = 3*z + 2*w. Let k(x) = x**2 - 8*x + 2. Let y be k(z). Let l(h) = y*h - 3*h + 4*h - 4*h. What is a(l(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*j + 198 + 318 + 284 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let o be f(6). Let q = -3 + o. Suppose 3*a = v - 2*a - 55, 0 = -q*a - 12. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27163, 52143, 93775, 152059?\nAnswer: 226995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/8612 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 7 - 1, 3*n - 3*t = 111. Suppose -5*w - 247 = 8. Let s = n - w. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*s - 5. Is 9\/3 + (s - -4716) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1407 and 81\/4690?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)*y**(1\/10)*(y\/((y*(y*(y**2*y)\/y*y)\/y*y*y)\/y))**37)\/((y**(-2))**(-34)*y**(-2\/3)\/(y\/y**(-1\/11))) assuming y is positive.\nAnswer: y**(-23409\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 18*v**3 - v**2 + v - 1. What is the remainder when (-5)\/(10\/(-164)) + (-1)\/1 is divided by r(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + q**2 - 2*q + 21. What is the tens digit of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o**4 + 1\/35*o**7 + 2 - o**2 + 0*o + 0*o**5 + 1\/60*o**6 + 0*o**3. Let k(t) be the second derivative of q(t). Factor k(y).\nAnswer: 2*y**3*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 + 5*c + 4. Let t be (-1 - -2)\/((-16)\/80). What is p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 67 = -5*f - 95, f = -33*v + 36*v - 21 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*d = 5718, 2*b - 2874 = -75*d + 69*d. Solve -1446*v = -b*v + 135 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7378851369.\nAnswer: 3, 1187, 2072129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17409*f**2 - 17406*f**2 + 34826*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -60, -84, -126, -192, -288?\n\"Answer: -f**3 - 5*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -26, -107, -218, -359?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -2 (c) 13 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -4*z - 1590. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 368147 - 0.2.\nAnswer: 368146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244 + -1562263?\nAnswer: -1562540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 7*b - 38. Let q be h(-10). Let m(j) = 2*j**3 + 16*j**2 - 2*j + 9. What is the remainder when 99 is divided by m(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-12)\/(-36)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-7))\/(-8))\/(130\/5915)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111a10 (base 11) to base 5\nAnswer: -21200434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 2.4. Let z = -4 + 6. What is the nearest to z in -5\/3, -5, n?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.02607.\nAnswer: -0.013035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10)*c\/(c\/c**(16\/7))*c**(3\/7)*c**(-17) assuming c is positive.\nAnswer: c**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-1)\/((sqrt(96)\/sqrt(4))\/sqrt(12)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 2*k - 4, -4*k - 48 = -q - 45 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from {h: 10, v: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31325\/12 - -2617. What is the common denominator of s and 77\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*w - 20 = 0, 3*s + 5*w = 4 - 2. What is the third derivative of -3*k**2 - k**3 - k**2 + k**3 - s*k**4 wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142 and 888.\nAnswer: 63048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 54 in decreasing order.\nAnswer: 54, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(-2\/17)*(q**0)**(2\/9) assuming q is positive.\nAnswer: q**(-4\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*h*x + 26*b*h + 483*b*x - 21*b - h + 1 wrt x?\nAnswer: 2*b*h + 483*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 187735*p**2 - 1782783075*p - 384879863745.\nAnswer: -5*(p + 221)*(p + 18663)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s + 1. What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-27018)\/12008)\/(1\/(-1*(-8)\/2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.05 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(-17*c + 11*c + 10*c) + 2*c + 0 - 1 + 8)*(c**2 - c**2 + c**2).\nAnswer: -2*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673685289?\nAnswer: 3, 24951307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 + 425. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 3*o**2 - 7*o**2)*(5*o**2 + 76 - o**2 + 0*o**2) - 9*o + 7*o**4 + 9*o in the form v*o**4 + n + p*o**2 + b*o + a*o**3 and give p.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 2*p, 0 = 3*b - 0*b + 3*p + 12. Suppose 8 = -3*r + 7*r. Solve 3*h - 15 = b, r*s + h + 3*h - 22 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/2*(-820)\/574. Suppose 2*f + 15 = y + 4*f, 0 = -3*y - t*f + 50. Is 25 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -361?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8890 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -o + 294, o - 269 = 2*n + 25. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 5) to base 4.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 107*f + 1492. Give q(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (100\/260)\/(3\/39). Which is the fourth biggest value? (a) -60 (b) -0.06 (c) m (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 478*t - 3268. Calculate u(9).\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(200) + -3)*-3)**2 + 0.\nAnswer: -1260*sqrt(2) + 2241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23049154 and 548.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((-8)\/(-40))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suummdoto. What is prob of sequence mtsd?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4047 or 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:14 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7290.272 take away 5?\nAnswer: -7295.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2808)\/(-182) + (-6)\/14. Suppose n = 16*x - 11*x, -4*a = 3*x - 113. Calculate the remainder when a is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 902124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 7, o: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 8*g - 7*g - 8*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a00b (base 13) to base 8.\nAnswer: -52735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -61 - 475. What is the remainder when o is divided by 5 - 110\/(-30)*6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 14 - 28 = o - 7, 0 = 3*o + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 15*n**2 + 10*n + 18. Determine g(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/114*18\/4. Is (-2 + 56096\/q)*9\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38197431 by 111.\nAnswer: 344121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759463 - 759458 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5790046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488239 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-8)\/60 + 16\/(-60)). What is the highest common divisor of 35 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233155485.\nAnswer: 5, 83, 2971459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/((-226)\/5650). Put 5, 370, -4, n, 0 in ascending order.\nAnswer: n, -4, 0, 5, 370","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((-240)\/(-18))*10. Suppose 2*w = -z + 18, 33 = z - w + y*w. Let r(l) = -3*l - 9. Calculate the smallest common multiple of r(-7) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i + 4\/3*i**3 - 8*i**2 + 0 - 1\/120*i**5 - 3\/8*i**4. Let g(f) be the first derivative of p(f). Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhrr. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z**(-1)*z)\/z))\/z*z)**(2\/91))**(48\/5) assuming z is positive.\nAnswer: z**(192\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/60 - 7*c**4\/24 - 7*c**3\/6 + 9*c**2 + 4*c + 98. Let q(r) be the second derivative of f(r). Determine q(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 + 7. Determine z so that 9*z**2 - 6*z**3 + 12 - 7*z**3 + 24*z + 11*z**3 - 4*z**3 - 3*z**y = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 20*k - 476. Determine p(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2, d: 2, j: 4, b: 2, z: 2}. Give prob of sequence zc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) -5 (c) -1\/2 (d) 157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(2*p**3 - 4*p**3 + 0*p**3) + 0*p**4 - p**4 + 0*p**4 + 3*p - 11*p**4 - 1694*p**3 + 1694*p**3 + p**2.\nAnswer: -16*p**4 + p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f - 1438*f**3 + 3724*f**3 - 16*f + 30*f.\nAnswer: 2286*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + 3 + 1 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4037573 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 + h + 1. Let b be p(3). Suppose -390 = -4*m - b. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553156 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 183 (b) -2\/5 (c) 36 (d) -2\/7 (e) 5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12530 at most as big as -12537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 40. Let w(z) = 8*z + 15. Let i be w(-4). Let t be k(i). Solve 3*y - t = 5*f, f + 2 = -f + 2*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.72088 rounded to 0 dps?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/8 + 12*h**3 + 209*h**2\/4 + 69*h + 685. Factor y(i).\nAnswer: (i + 1)*(i + 2)*(i + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-78))\/(1\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/36 and -61\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (150\/(-5))\/((-3)\/154). What is c rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 11}. Give prob of picking 3 w.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/5 + 28254*h**4\/5 - 197001897*h**3\/5 - 36469517812*h**2\/5 + 621278805504*h\/5 - 2535432028416\/5 = 0. Calculate h.\nAnswer: -196, 8, 14217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 16 + (-1 + 4 - 1)*(0 + 2 - 4))*(9*d - 9*d + 5*d**5) + (-2*d**3 + 5*d**3 - 5*d**3)*(-1 + 2*d**2 + 1).\nAnswer: 46*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5500000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*w - 116*w + 122. Suppose 3*o - w = p - 0*p, -25 = 5*p. Let m be 0 + -2 + 1 + 14. Calculate the highest common divisor of m and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-12)*(-4)\/(-8). Let r(v) be the third derivative of -1\/24*v**4 + 2*v**2 + 0*v + t - 1\/6*v**3. Find the first derivative of r(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.98 + 22. Let i = x - 0.22. What is the second biggest value in -5, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n + 3. Determine d(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -108, -47, -0.4, -1.18.\nAnswer: -108, -47, -1.18, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 659.0185.\nAnswer: -263.6074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 1053*y**2\/2 - 1593*y.\nAnswer: 3*y*(y - 3)*(y + 354)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63103251 to the nearest integer?\nAnswer: 7944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1379 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -4, -2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*4*(-215)\/(-258)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 6, g: 2, i: 1, c: 9, n: 1}. Give prob of sequence gxg.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 187*g**2\/6 - 404*g\/3 - 623\/6.\nAnswer: -(g + 1)*(g + 89)*(2*g + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/48 and 109\/2369778.\nAnswer: 18958224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -113, -70.\nAnswer: -113, -70, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7771 + -1.7771. What is the fifth smallest value in n, -4, -5, -2.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 8. Let p(u) be the first derivative of u**2 - 9*u - 9. Let o = 17 + -10. Suppose 0 = -5*s - 25 - 5. What is o*z(t) + s*p(t)?\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3669414 and 43904?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 + 37*k**3 + 1329?\nAnswer: 8*k**3 + 111*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 403 - 22. Suppose 0 = 6*o - d + 393. Which is the second smallest value? (a) o (b) 0.4 (c) -2\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747947205 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 594*c + 8*c**3 - 594*c with respect to c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/6)\/((-14)\/18*444\/(-518)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*w + 64 = 8*u, -2*w + 5*u = 49 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + 3 + 0 + 0 + 2*u**3 - 3*u**3 - u**2 in the form v*u**2 + o + w*u**4 + x*u + h*u**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 26. Let g = j - 17. Let i(c) = -2 + 2 + 3*c**g - 4*c**2. Let p(s) = 3*s. Give p(i(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-8)\/((-200)\/117). Let r = q - -3729\/925. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 23892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*o = o + 70, -3*o - 45 = -2*c. Calculate the remainder when 55 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 + 3. Let q(f) = 129*f - 21. Let y(a) = 6*a - 1. Let v(k) = -2*q(k) + 42*y(k). Calculate j(v(m)).\nAnswer: 216*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**39)\/(x**(-3)\/x) assuming x is positive.\nAnswer: x**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -87. Solve -6*t + 4 = -n*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 9, 4*j = j - 5*x + 3. Let c = 2 - j. Solve v - 2 - 10 = -4*w, v + c = 2*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -36*r**2 + 24*r + 8. Let y(w) = -13*w**2 + 9*w + 3. Let u(t) = -3*d(t) + 8*y(t). Let b(m) = -14*m. Determine b(u(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6965 + 167087\/24. What is the common denominator of -143\/12 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*z**2 - 22*z**2 - 23*z**2 - 21*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.08, 2\/11, -1, 20?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(((-1053)\/(-637))\/81).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.71 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:05 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3*u**4 - 31813*p**3 - 1178*p**2 + 40830915*u**4 - 2 with respect to u.\nAnswer: -4*p**3*u**3 + 163323660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r*r**(-12))**37 assuming r is positive.\nAnswer: r**(-1665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2260 + 2364 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and -79\/6978.\nAnswer: 13956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = 3*b. Let m be (b + (-1 - 0))*-1. Let y(c) = 3*c - 4. Let q(v) = -3*v + 3. Calculate m*y(x) + 3*q(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 19 + 6. Suppose -u*p + p = -16. Suppose z + 7 = -p*g, g = -2*z - 1 + 15. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + (-2477)\/(-4). Suppose -3*x + 158 = 2*f - m, 3*x = 5*f - 1890. Let z = -189 + f. What is the greatest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-30 - -27) + 4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 67*c**2 - 2*c + 8037. What is the units digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204845*x**4 + 71515 wrt x?\nAnswer: 819380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -1\/11 (c) -9 (d) -469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418397035 minus -68.9?\nAnswer: 2418397103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355692191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 9) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 1 - (-5)\/(-1). Let l = 16 + o. Suppose p - l = 10. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 i, and 1 s when four letters picked without replacement from {v: 7, p: 1, q: 2, i: 3, d: 1, s: 4}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*x + 47*x - 1229*x + 3176 = 552*x. Factor -18\/5*n - 28\/5 - 2\/5*n**x.\nAnswer: -2*(n + 2)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 27*b**2 + 38*b - 52. Let v = 307 - 289. Let g be h(v). Round g to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 0.3, -2\/3, 2, -92\/9 in ascending order.\nAnswer: -92\/9, -2\/3, 3\/31, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 90*m + 18938 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*x + 8 + x**2 + 0 - 2*x**2 - 12 - 2*x**2 to b*x + t + y*x**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2684, -2696, -2708?\n\"Answer: -12*u - 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**4\/12 - 6*g**2. Let c(r) = -r. Let w(h) = -4*h. Let l(t) = -4*c(t) + 2*w(t). What is b(l(f))?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737368 is divided by 63653.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 49925140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 > -0.0487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34*(-5)\/((-20)\/6). Suppose 3*b - 3*v = z, -5 = -b - 4*v + 32. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {g: 16, y: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3268 - -120432. Round u to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.078 and 1930.\nAnswer: 1929.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9605 + -9605. Which is the closest to h? (a) 3\/7 (b) -0.107 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.228082 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5714, -11414, -17106, -22790?\n\"Answer: 4*o**2 - 5712*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/((q\/q**18)\/q))\/q)*q**(1\/12)*q*q)\/(q**(-17)*q\/q**(-2\/5)) assuming q is positive.\nAnswer: q**(41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 5145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 199080.96 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12718329?\nAnswer: 3, 13, 17, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -7*x**2\/2 + 4*x + 138. Let v(z) = 29*z - 17. What is -9*m(b) - 2*v(b)?\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1975607775 to the nearest integer?\nAnswer: 44448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 4. Let m = -11 - g. Factor -m*i + 2*i + 2*i**3 + 6*i - 1 - i**3 - 3*i**2.\nAnswer: (i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 3438?\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 6*q - q)*(-7 + 37 + 197 - 14).\nAnswer: -2130*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2599903 - -3.26. Round k to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30058 and 672?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 473*z - 478*z + 611, 3*a = 3. What is the remainder when 7806 is divided by z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -79060*c - 2055550. Determine a(-26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 350 = -u - 0*u, -3*d - 3582 = -2*u - 3365 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:26 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-15)\/(-78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + 14. Is 15 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2592, 2602, 2612, 2622, 2632?\n\"Answer: 10*d + 2582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qenqneqqnqqq. What is prob of picking 1 n and 1 q?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a + 2. Let l be c(-2). Let i(d) = d**3 - 9*d**2 + 6*d + 8. Let v be i(l). Let r(q) = q**3 + 9*q**2 + 5*q + 6. Is r(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 6*t. Suppose -t*v + 5*v - 3 = -x, -16 = 4*x + 5*v. What are the prime factors of (-2)\/x + 238\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 146) + 109 - (8 - (1 - (0 + 0)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-28)*(-24305050)\/(-16225)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10081648 divided by -6?\nAnswer: 5040824\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8496*z - 16997*z + 17*z**2 + 8501*z.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g - 29. Calculate the remainder when 13 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.897 - 0.097. Let t = 4 + -6. Which is the biggest value? (a) d (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 43*q + 7. Let h(l) = -13*l**2 - 128*l - 21. Let g(x) = -2*h(x) - 7*w(x). What is the tens digit of g(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3240879 * -34\nAnswer: -110189886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 2009.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -1 - 3. Suppose -r = -3*o + 65. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/11660 and -39\/20.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 1, 10, 35, 82?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*t**4 + 57*t**3 - 17*t**2 + 106852*t wrt t.\nAnswer: 348*t**2 + 342*t - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2*2\/(-28))\/(27\/162)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005420063 rounded to 6 dps?\nAnswer: -0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*h**4 + 25*h**4 - 1 + 20*h**4 wrt h?\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*n**3 - 2718*j*n**2 - 640615*j*n - 7*j - 53*n**3 + n**2 - n wrt n.\nAnswer: -12*j*n - 5436*j - 318*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14 + (-1660)\/(-25))*1\/(-2)*-5 and 12?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333166471.\nAnswer: 53, 119493707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 50 + 2 = 0. Suppose -9 = 3*h - 3*c, 14*h - n*h + 5*c = 21. Solve h*t = 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 9. Let p be g(-7). Suppose 3*h - 32 = p*d, -7 - 3 = -h + d. What is the smallest common multiple of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 = 4*k + i, -4*k + 2*i + 572 = -3*i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhehheehhh. What is prob of picking 2 h?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let j be y(-6). Let k(q) = q**3 + 6*q**2 - 7*q + 2. Let g be (5 + (1 - -1))*-1. Let b be k(g). Sort b, j, -1 in decreasing order.\nAnswer: j, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s - 54. Let c be g(5). Let j = -11 - -19. What is the greatest common divisor of c and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/6 + y**3\/3 - 3*y**2. Let a be (-3)\/8 - 143\/88. Determine b(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 4. Let q(s) = -7*s + 63. Let i be q(9). Solve i*x - 2*x = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 68 + 142 - 74.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**13*k**8\/(k**(-5\/2)*k) assuming k is positive.\nAnswer: k**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000067787 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4307 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 32. Let k = -7 - h. Which is the second smallest value? (a) -2 (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -5*m - 7, 2*n + m = -7. Let w be n*(-783)\/6*1. Suppose 2*i + 2*x - w = -i, 0 = 3*i - x - 270. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 50. Suppose 3*c - 4*c = 5*d - 8, 3*c + 14 = 4*d. Suppose 2*m + 4*r = -0*r + o, 2*m - d*r = 2. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = g. Suppose -b = -13 + 7. Solve -g*r - b = 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*p = 199910968, -839*s + 399821984 = -833*s - 2*p. Round s to the nearest one hundred thousand.\nAnswer: 66600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -15448499.\nAnswer: 16\/15448499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195841*t + 195341*t - 26500 = 0 for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 3*l**2 - 5*l**2)*(1 - 4*l - 1) + 0*l**2 + 0*l**2 + l**3 - 11*l**3 - 4*l**2 + 4*l**2.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j + 4. List the prime factors of p(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/5 - 20052*d**4\/5 + 120226*d**3\/5 + 28056*d**2 = 0?\nAnswer: -1, 0, 7, 10020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebebbbbb. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d**3 + d**2*y**2 - 40*d*y - 313*y**2 wrt d.\nAnswer: 12*d**2 + 2*d*y**2 - 40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33474182 to the nearest integer?\nAnswer: 5786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -130.15. Let d = x - -0.95. Let y = -5.8 + d. Which is the nearest to -0.3? (a) y (b) 2\/13 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -11*o - 16. Suppose -o*b - 25 + 1 = 0. Let i be ((-9)\/(-12))\/(b\/(-8)). Solve -2*a + i = 0, -4*n + a + 7 = 4*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44089421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.071, 1, -0.1, 1773?\nAnswer: 1773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 - -59. Let u = s - -104. Let l = 49 + -1. What is the remainder when l is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87709640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145246428 + 67782447. Let o = n - -77466040.00851. Let j = o + -2059. What is j rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 8. Let x be y(7). Let u(f) = f**2 + 6*f + 8. What is the units digit of u(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/9 - 35*c**3\/9 - 34*c**2\/9.\nAnswer: -c**2*(c + 1)*(c + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 + (5 - 1). Suppose u*b - 3 - 17 = 0. Suppose -f - b*v + 667 = 0, 0*f - v = -f + 657. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -4\/7 (b) 5 (c) -4\/13 (d) 26 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387\/215*40\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 10:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2659, 5314, 7969, 10624, 13279, 15934?\nAnswer: 18589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 43. Suppose s - w*s = -6. What is the third derivative of 6*c**2 - 63*c**3 - 54*c**3 + 7*c**s + 104*c**3 wrt c?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*u + 6313 = 3*a, 5*u + 3784 = 3*a. Let o = a + -691. Is 1 - o\/(5\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1. Let q(n) = -9*n - 51. Let h(z) = -4*l(z) + q(z). List the prime factors of h(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*j - 23, 3*y + 0*j - 5*j = 19. Let a be ((-2)\/(0 + y))\/1. Put 1\/6, -2, a in increasing order.\nAnswer: -2, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007367 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 9:55 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 180*l**3 + 16*l**2 - 11*l + 9. Let d(x) = -x**3 - 2*x**2 + 2*x - 1. Calculate 8*d(c) + i(c).\nAnswer: 172*c**3 + 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.002.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/((-3*sqrt(99))\/sqrt(11)) + -1)**2.\nAnswer: 2*sqrt(17)\/3 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-18)\/27) - -3. Suppose -6 = -4*j + x*j. Solve -j*m + 11 = 2*z, m + 7 = 2*z - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0 + 2\/3*c**6 - 13*c**2 + 0*c**4 + 0*c**3 + 8*c + 0*c**5. Differentiate h(d) with respect to d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 40. Let r be (-4)\/(-10)*(-10)\/m. Suppose -23*g - 27 = 4*g. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276 = 41*w + 55*w + 20*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*k**4 + 121*c**2*k**3 - 18*c**2 + 40*c wrt k.\nAnswer: -8*c**2*k**3 + 363*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*6 - sqrt(133) - (-1*sqrt(133) - sqrt(133))*5)\/(sqrt(70)\/(sqrt(10) + (sqrt(250) - -3*sqrt(250)))).\nAnswer: 441*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - 3) + 22 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28.13 in -3, 3, -0.12, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 328.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -650 - 16*m**3 + 1510 - 740 + m - m**3 - m**3 + 3*m**3 + (4*m**2 - m**2 - m**2)*(1 + m - 1).\nAnswer: -13*m**3 + m + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 3*l**2 - 2*l + 4. Let i be u(-4). Let m be -5*6\/(-8) - 1\/i. Solve 3*n - 3 = m*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 276 + 72. Let x = w + 55. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**2 + 2*z**2 + 0*z**2)*(2 + 0 - 3) + 2*z**2 - z**2 + 0*z**2 + (0 + z**2 + 1 - 2*z**2)*(198 + 3 - 27) to h*z**2 + m*z + g and give g.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2338*q**2*z**2 + q*z + 3*z**2 + 138*z - 4 wrt q?\nAnswer: -4676*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*j + 3*b - b, 2*b = 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*h = h - 185, -p + 105 = 3*h. Suppose 3*x + p + 22 = -n, 153 = -4*x - 5*n. Let g = x + 55. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by (-608)\/3952 + (-249)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21838, -87302, -196360, -349006, -545234, -785038?\n\"Answer: d**3 - 21803*d**2 - 62*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 331009*z**2 - 2 - 11*z**5 - 331275*z**2 + 1 + (z**4 + z**5 - z**4)*(5 - 6 + 0).\nAnswer: -12*z**5 - 266*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1085 + 1001?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214488.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -175709\/126 or -1395?\nAnswer: -175709\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 + 7*r - 2. Let n be b(4). Suppose 0*p - n = 5*p. Let c = p + 31. What is the remainder when 50 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/210*(-16)\/(-320)*24\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 + 43865*o\/6 + 461244.\nAnswer: -(o - 43928)*(o + 63)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*2)\/((-3)\/2). Let t be (1*(1 - 1))\/(-2). Let j be 26 - f\/(t - -2). Calculate the greatest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441347*o**2 - 882697*o**2 - 16*o**3 + 4*o**3 + 441350*o**2 + 0*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690678 by -72.\nAnswer: 38371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-2)\/(9 - 1495\/169)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/14742111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2784 = 8*c - 33*c - 207*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2. Let f(c) = -9*c - 11. Let o(m) = m - 1. Let p(n) = -7*n + 12. Let i(z) = -18*o(z) - 2*p(z). Let v(b) = 6*f(b) - 13*i(b). Determine k(v(h)).\nAnswer: -12*h**2 + 144*h - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 3*h**2 + 5*h + 5. Let a be m(-5). What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 423565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeppefppp. Give prob of sequence fpe.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 - 369 - (6 + (-7 - -4))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 16. Let s(b) be the first derivative of b**3\/3 - b**2 - b + 2. Let v be s(c). Sort 3, v, 5.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 16. 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: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3561844316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vvosm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3116947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*f = -f + 10, -5*l - 15 = 3*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 1604*a - 98348. Give u(-64).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 433 = 1321. Is (o\/(-10))\/(1\/(-5)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*v - 15, 3*s - 21 = 5*v - 4. Are -2\/7 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 4*n - n + 1. Let g be s(-1). Solve 5*o + 0 = -g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:34 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406180*j + 37*j**3 + 406180*j.\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j**4 + 4 - 4 + (j**3 - j**3 - j**4)*(-3 + 2 + 2) - 2*j**4 + 2 - 2 + (62*j**2 - 17*j**3 - 62*j**2)*(j - 4*j + j) - j**4 + 4*j**3 - 4*j**3.\nAnswer: 29*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 88. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*y**3 - 81*y**3 - y + 163*y**3)*(207 + 11*y**2 - 207).\nAnswer: -33*y**5 - 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21802851?\nAnswer: 3, 7, 38453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 374583537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*h - 217 + 1449 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/22*2*9\/(-162). Let o = 3 - 5. Which is the second biggest value? (a) o (b) 3 (c) t (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1488*q + 3427*q + 4986*q.\nAnswer: 6925*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38472)\/123431)\/(8\/42).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964*h + 3*s = 1961*h + 69, 3*s + 92 = 4*h + 2*s - 12*s for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-3 - 12 + 1)*(2*f**4 - 7*f**4 + 2*f**4).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(2904) + 1*sqrt(2904))\/(sqrt(200)*-3).\nAnswer: -23*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + -3 + -3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-47157)\/154 + (-4)\/14. Let z = 306 + d. Put z, 6, 4 in decreasing order.\nAnswer: 6, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 0 - -7. Put -12, k, 0.5 in increasing order.\nAnswer: -12, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (285 - (-1432758)\/(-5022))*6\/4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-152)\/(-52) + -3). Is -12 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289848 divided by 1736?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 25806 = -4*b + 7252, 5*i - 8259 = -b. What are the prime factors of b?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15341 is divided by 1134.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 37*c**7\/42 + 16*c**4\/3 + 67*c. Find the third derivative of b(t) wrt t.\nAnswer: 2220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*v - 3431 - 39579 = 0. Let d(c) = -60*c**2. Let i be d(-1). Let h = i - v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 22. Suppose 8*g + 213 - 1365 = 0. Suppose -13*y + 4*y + g = 0. What is the remainder when k is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153970.\nAnswer: 2, 5, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 8445*j - 8456*j + 16901*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024842451 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 25*y**3.\nAnswer: -5*y**3*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.1 - -9. Let p = 0.1 + j. Let w = -5 + 8. Which is the smallest value? (a) -0.1 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286154 is divided by 542?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 5. Let l(n) be the third derivative of n**6\/120 + n**5\/15 + n**4\/24 + n**3\/6 + 3*n**2. What is the remainder when l(q) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3463 divide 86131736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 973 and 17703.\nAnswer: 17225019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 10. Let g = 4 - 4. Suppose -p - 2*p + 3 = i*q, g = -5*p - 5*q. What is the nearest to -2 in p, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 6*s + 2. Let r be 4\/(s - -3)*5. What is the second derivative of 6*x + 40*x**4 - 4*x + 2*x**r - 40*x**4 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 73. Is f <= -1\/174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -45*x - 27*x + 829 + 470 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*((b\/b**(-16\/7))\/b)\/b*b*b\/(b\/b**(1\/4)) assuming b is positive.\nAnswer: b**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 39*z + 30. Calculate the remainder when 327 is divided by (164\/8)\/(z\/(-2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 75709101?\nAnswer: 75709101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 times -0.2?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 14805026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1*12)\/2. Let q(x) = -x**2 + 415*x + 6516. Let k be q(-15). Calculate the highest common divisor of o and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*w = 4*w + 24, -3*d - w + 24 = 0. Let c = 4 + d. Suppose -4*m - 2*z = -c, 2*m = m - z + 5. Solve -4*b + 3*b = -m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5785*f**4*g**2 - f*g**2 + 537*g**2 wrt f?\nAnswer: -23140*f**3*g**2 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 0. Suppose -5*n = -t - 12. Factor 6*d**3 - 3*d**n + 0*d**4 + d**2 + 11*d**4 - 3*d**2.\nAnswer: 2*d**2*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 4*a**2 - 3*a + 4. Let t be o(2). Let h = 19 + t. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.356 take away -2804.8?\nAnswer: 2803.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vzvv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/9*30)\/(20*2\/(-15))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*x = 61*x + 55*x + 12847 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.187 and 4.\nAnswer: -0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*3\/(-6). Put 3, u, 2\/11 in increasing order.\nAnswer: u, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -686 - -68. Let r = -618 - u. Sort 2\/21, r, 10.\nAnswer: r, 2\/21, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o**2 - 26*o - 819*o**3 + 26*o**2 + 68*o - 3*o. Let c(w) = -82*w**3 + 4*w**2 + 4*w. Determine 39*c(m) - 4*x(m).\nAnswer: 78*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*w - 36, -3*y + 3*w + 66 = 5*w. Suppose 0 = -2*f - 3*f + 80. Calculate the highest common divisor of f and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01309 - 0.01309. What is the closest to n in -1, 0.16, 1\/4, -5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 5*z**2 - 5*z - 4. What is i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**2 + 35*o - 322. Is m(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 - 10746*a**3 - 2443413*a**2 + 10746*a + 2443416 = 0.\nAnswer: -3338, -244, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(4) + (2*sqrt(324) - sqrt(324))) + -4)**2 + -2*(sqrt(2) - (-3 + sqrt(2))) + -3*sqrt(18) + sqrt(18).\nAnswer: -34*sqrt(2)\/5 + 501\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 90*p - 1359. Suppose -2*y + 15 = 1. Let f = y - 3. Solve -4*g + 36 = 4*s, p = -5*g + 4*g + f*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46832*l**2 + 23416*l**2 + 23414*l**2 - l + 5*l + 541*l**3 in the form c + z*l**2 + b*l + d*l**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28 and 53\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38695907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 285*o**2 + 1756*o - 22895. Give k(279).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9429 and -32\/51?\nAnswer: 160293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7225*l - 7188*l - 3552 = 0. Solve l*v - 12 = 94*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**7\/120 - 7*i**5\/120 + i**3\/3 - 2*i. Let q(k) be the second derivative of d(k). Find the second derivative of q(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136229 is divided by 12378.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7112*y = -7097*y + 195 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 3, r: 4, t: 2, f: 2, b: 2}. Give prob of picking 4 r.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((15\/(-3))\/(-5))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062940 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -702.\nAnswer: 22\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2574)\/(-352))\/39)\/((-5)\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 774912751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 897, 881, 851, 801, 725, 617, 471?\n\"Answer: -w**3 - w**2 - 6*w + 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -82?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7716 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-675))\/(2\/(-5))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r. What is u(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167783.6 years to months.\nAnswer: 2013403.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 23862574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*3*sqrt(80) - sqrt(80)) + -6*(sqrt(80) + (sqrt(80) - (4 + sqrt(80))))*-3)**2.\nAnswer: 34560*sqrt(5) + 293184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/191489 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028 = -4*z + 976 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:05 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 11433*y - 239658. Calculate r(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*v + 89*v = -15*v - 2940. Let u(p) = p**3 - 6*p**2 + 5*p. Let k be u(5). Sort v, k, -5, 4.\nAnswer: v, -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 21223495*s**2\/3 - 34120*s + 20\/3 = 0.\nAnswer: 2\/9803, 2\/433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) - sqrt(448)*-2)*5) + sqrt(448) + sqrt(448) + 3 + 1 + ((-3 + sqrt(448))*5 - sqrt(448)) + sqrt(448)*1 + -3 + 0)**2.\nAnswer: 1568*sqrt(7) + 22148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 354841759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238*k**4 + 62231*k**2 - 521144369*k.\nAnswer: 2856*k**2 + 124462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -55*j - 144. Let w(m) = -m**2 - 12*m - 33. Determine w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20)*-4)\/(-8 + (-1113)\/(-140)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9499745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5405358*t. Let q(p) = -9*p**2. Calculate q(s(g)).\nAnswer: -262961055973476*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 20*q + 1098 = -414. What is the remainder when 10365 is divided by q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 144?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819361645.\nAnswer: 5, 1657, 98897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 18057*h**3 - 8*h**2 - 3*h - 6. Let g be v(6). Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -22. Let c = -5 + d. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-21)\/2))\/((-12)\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -172*h. Let p(n) = -7*n. Calculate p(v(m)).\nAnswer: 1204*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - 56\/21. Is -3 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 7) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4576)\/(-24))\/11)\/(56\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z - 1. Let o(v) = v + 1. Calculate o(l) - x(l).\nAnswer: -12*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -14*g - 13 - 53\/2*g**2. Is x(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(21 - 39 - 28)*(3*i - i - 4*i).\nAnswer: 92*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 14*i**2\/3 - 48*i - 1080.\nAnswer: 2*(i - 15)*(i + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 6085632?\nAnswer: -6085634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9910 rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 639999.2 litres?\nAnswer: 639999200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - o + 3*o)*(3 + 3 - 3)*(0*o + 1 - 3*o + o).\nAnswer: 18*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -20 - 22. Find the third derivative of -10*o**4 + s*o**2 - 6*o**2 - 5*o**2 wrt o.\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*r = -92 - 78 + 32. Let s(i) be the second derivative of i**5\/20 - i**4\/6 + i**2\/2 - i. What is s(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-4))\/((-105)\/42))\/((-1224)\/360).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3 + 0 + 2)*(0*o - 3*o + 5*o).\nAnswer: 8*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 1 in descending order.\nAnswer: 47, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -184*a**2 - 10*a + 41. Let g(h) = -79*h**2 - 5*h + 21. What is 7*g(q) - 3*n(q)?\nAnswer: -q**2 - 5*q + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -369. Suppose 3*i - 1206 = g. List the prime factors of i.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*(-3)\/((567\/6)\/9). Suppose -2*j = 3*x - 7*j - 121, 2*j = h*x - 180. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129 - -114355?\nAnswer: 114226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/15 - 4*r\/15 + 2\/15 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**3 + 25*k**3 - 86*k**3.\nAnswer: -173*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 - 22) - 36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 68*h**2 + 9*h. Let w be a(-4). Let d = w - 338. List the prime factors of d.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1367803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from feeefcecfffe?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - y + 3 = -2*y, 0 = -5*r + 2*y + 21. Solve u - r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - t + 60 + 86 + 6*t.\nAnswer: 12*t + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b - 3. Let n be a(6). Let z = -19 - -21. Suppose -4*g = -z*g. Put -5, n, g in increasing order.\nAnswer: -5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 16. Let w be p(-10). Suppose -u - 5*k = 6, w*u - 4 = -5*k + 2. Solve u*i = 5*y + 45 - 4, 3*y - 4*i = -31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**3 - 28*v**2 - 306*v - 1227. Determine t(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 7*z**2 + 34 + 49*z**2 - 21.\nAnswer: 42*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 4 - 80 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 17*d - 55. Let i be g(-13). What is the smallest value in i, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38485.\nAnswer: 5, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30070050 (base 9) to base 15\nAnswer: -13e5239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + l**2 + 1 + (l - l - l**2)*(1 - 2 + 3) - 30*l + 3*l**2 + 30*l + l**2 + 0*l**2 + 0*l**2 + (2*l**2 + 0*l + 0*l)*(1 - 6 + 4).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-1*sqrt(153) + 5) + -3 + 1.\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 820825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 3*r**2 - 2*r**2)*(5264 + 4682 + 2662 + 838 - 3155) to t*r**2 + d + x*r and give t.\nAnswer: -20582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15630 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25176, -100564, -226182, -402036, -628132, -904476?\n\"Answer: -u**3 - 25109*u**2 - 54*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 776641992 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(5) - sqrt(245)) + -2 - (-2*(sqrt(80) + -1) + 4))*1.\nAnswer: -10*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -446829b + 6?\nAnswer: -4468295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + 108 + (-46)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*v + 13, -20 = -2*c + c + 3*v. Let k = -115 - -119. Suppose -63 = -k*z + q - c, 0 = 4*q. What is the highest common divisor of 52 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 15 + 38 - 60*c**3.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Solve o - 1 = 0, h*t - 3*o + 8 - 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 258*k - 686. Calculate the remainder when 6038 is divided by d(132).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 456*l - 13548. Let b be z(-28). Let q = 8.88 - -0.12. Put -4, b, q, -2\/3 in decreasing order.\nAnswer: q, b, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -169, -2, 2, -5, -39, 5 in descending order.\nAnswer: 5, 2, -2, -3, -5, -39, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14306470?\nAnswer: 2, 5, 1430647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8*(-481371 + 143) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.051, 5, 0, 0.04372?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Suppose 0 = 13*g + 2*g - 60. Sort 3, n, g in ascending order.\nAnswer: n, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149, 4664, 10529, 18744, 29309, 42224?\nAnswer: 57489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3741575 (base 11) to base 7.\nAnswer: 106162040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 12*q + 10*q**2 - q**3 + q - 7. Let y be o(11). Solve 5*a - a + y = -2*m, -16 = 4*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 49*o**2 + 19*o - 60. Is k(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/9, -22 in ascending order.\nAnswer: -22, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 2\/7 - ((-2280)\/(-21))\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-5 - 0 - (-12 + 4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1964, 1, 8, 2\/19, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 11. Let z(b) = 2*b + 11. Let n(q) = 7*o(q) + 6*z(q). Let s(c) = 2*c - 4. Let t = 15 + -8. Suppose 0 = j - 4 - t. Determine j*s(w) - 4*n(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*r + 17, 0 = -2*r + 3*r - 5*g - 14. Let q be -1*3\/(r\/1). Suppose -7 = -5*z + 2*b, -q*z + 3*b = 2*z - 3. Solve k + z = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.3291 millimeters in kilometers?\nAnswer: 0.0008653291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1059, 3578, 7775, 13650?\n\"Answer: 839*o**2 + 2*o + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*b + 10574 = -521*b for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11539 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1\/6, -0.3, -30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3752985710 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**21)**(7\/5) assuming u is positive.\nAnswer: u**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 83, 124, 165?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366.309 meters in kilometers?\nAnswer: 7.366309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let p(y) be the third derivative of -y**5\/15 + y**4\/12 - 14*y**2. What is p(l(w))?\nAnswer: -16*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3*-1*90\/120*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -242, -249, -276, -329, -414, -537?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22719395?\nAnswer: 5, 17, 137, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5983 is divided by 403.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68724421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3510818150 to the nearest one million.\nAnswer: -3511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -24*w - 1. Let y be s(-2). Suppose 0 = -4*r - 2*t + 172, -7*t - 36 = -r - 4*t. Let z = r - y. Put 2, z, -4 in descending order.\nAnswer: 2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-250)\/(-120))\/(-5)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y + 2 = 0. Let o be (9\/7 + y)*7. What is the third derivative of -20*k**5 + 6*k**o - 5*k**5 + 7*k**2 - 2*k**2 wrt k?\nAnswer: -1500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 566*c + 569*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6)*6*-3. Which is bigger: 17 or s?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80200 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:15 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-118)\/744 - 6\/12. Let v = f - 1\/124. Is v equal to 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877101019 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = v - 5, -288*o + 3 = -289*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287 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: Round -1.3439 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/((-31)\/(-1) - 147846\/4207)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -2, 22763 in increasing order.\nAnswer: -74, -2, 22763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*v**2 - 3 - 560*v + 165*v**2 + 560*v.\nAnswer: 8*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.6 + -7. Let s = b + 1. Round s to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 - 4*l + 1. Give z(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 122819 = 4*s, 4825 + 68840 = 3*q - 2*s. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.34 (b) -2 (c) -3 (d) 12 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r = -12581 + 10733 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 87208810 - 87208810 + 22525*k in the form z*k + n and give z.\nAnswer: 22525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - ((2 - 3) + 1). Suppose -5*x + 0*x = k. Let i(w) = -6*w + 2. Let g be i(x). Solve -2*s + 6*s = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 4 - 4)*(-75 + 75 + 14*h) + (3*h - h - h)*(0*h + 0*h - h).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13392559073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -1211\/11. Is v < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 3, r: 5, e: 5, u: 1}. Give prob of picking 1 u and 3 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722203639 to the nearest integer?\nAnswer: 26874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73657637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/2 - 11*c**2\/2 + 38*c. What is the lowest common multiple of x(-21) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205252 is divided by 604?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2*b + 6. Let p be s(-4). Sort 0.1, p, 0.5 in increasing order.\nAnswer: p, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007380292 to five decimal places.\nAnswer: 0.00738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 458295641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.9 - -73.1. What is the biggest value in -1, 2\/35, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 10 in descending order.\nAnswer: 10, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 30. Let o(g) = 2*g**2 - 6*g - 6. Does 30 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153 - 142)*8390\/2365 + -39?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -3, -16\/15, -3\/4, 4, -50, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4\/5 - 21*c**3\/5 - 42*c**2\/5 - 24*c\/5 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 954*k**2 + 12*k - 77. Let p be a(4). Suppose -5*u - l + 13315 = -12074, -3*u - l = -p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-22 - 21) + 47\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480295264 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*w - 12 = 156*w. Suppose w*t - 863 = 490. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-130))\/((-436)\/1090).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 112*n**2 + 218*n - 108.\nAnswer: 2*(n - 54)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89405093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-3) - (14 + -9). Let u = 15 + -9. Solve -3*l + l - u = k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 4 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/19*b**4 + 0*b - 6\/19*b**3 + 4\/19*b**2.\nAnswer: 2*b**2*(b - 2)*(b - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z**2 + 40*z**2 + 25*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79860 by 7986.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 - (0 - -2) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572 divided by -393.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*k**3 - 200\/7 - 58\/7*k**2 - 208\/7*k.\nAnswer: -2*(k + 2)**2*(k + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3555 = -1093*s - 92*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -722620 rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/6)*o\/(o**8*o)*(o\/(o*(o*o\/(((o**(-1\/11)\/o)\/o)\/o))\/o)*o)\/(o**(1\/5)\/o) assuming o is positive.\nAnswer: o**(-3671\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1011101010010100010 (base 2) to base 4\nAnswer: 1131102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -818*p**2. Let u(g) = -g + 241. Calculate u(f(y)).\nAnswer: 818*y**2 + 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/7))\/(u*u**(-4\/5)*u)*u**(-8)\/(u*u**(-1\/5)) assuming u is positive.\nAnswer: u**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-779)\/(117 + -76)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjji when four letters picked without replacement from {i: 13, o: 1, j: 3}?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2333.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3051340 divided by 4.\nAnswer: -762835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -1 - 1 - 43. Let w = -21 - r. What is the remainder when 380\/9690 + 2956\/51 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(20\/70 - 24\/(-14)). Let x(g) be the third derivative of 4\/3*g**3 - 1\/15*g**5 + i*g**4 + 0 + 0*g - g**2. What is the first derivative of x(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 102631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from rwwerrwrccrwrr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*o**4 + o**3 - 6 wrt o.\nAnswer: 92*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -32. Let a be 258\/c - 6\/33. Let n = 8 - a. What is the highest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/4 - 41*l**3\/4 - 88*l**2 + 363*l = 0. Calculate l.\nAnswer: -22, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41006 and 650238?\nAnswer: 4551666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 28*i**2 + 213*i + 315. Let y be p(-34). Let s(t) = -t**3 + 10*t**2 - 7*t + 15. What is s(y)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1377) + 3 + 1 + sqrt(1377) + -3)*-3)**2.\nAnswer: 1296*sqrt(17) + 198324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1517*c + 4797. Calculate a(4).\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 68 + 0*m**3 - m**3)*(-20*m - 29*m - 4 + 53*m) as x*m**4 + o*m**2 + p + g*m**3 + c*m and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.004 (b) 12 (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6842 - 6842. Solve 6*s - 7*s + 1 = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81288.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2\/31 (c) 11713\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -32*u - 12. Let k(g) = -13*g - 5. Let q(s) = -12*k(s) + 5*v(s). Let p(j) = -3*j. Determine q(p(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 110696.\nAnswer: 7\/110696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q**2 - 10*q - 10. Let m(u) = 4*u**2 - 3*u - 3. Determine -6*j(z) + 20*m(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*s. Let p(x) = x**2 - 2*x - 3. Let q be p(s). Let v = 79 - 79. Solve 0 = -v*d - d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124344*x**4 - 75*x**3 + 5543544*x**2.\nAnswer: -2984256*x - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.199? (a) 2\/3 (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 404*b + 6872. Let c be p(-17). Solve 27*d = 29*d + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - q)*(q + 0 + 0) + 2*q**2 - 2*q**2 - q**2 - q**2 - 4*q**2 + 2*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/3210 and 35\/24396?\nAnswer: 121980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462.4 minus 7?\nAnswer: 2455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 884\/197 + 5\/394. What is the common denominator of h and (-474)\/(-51)*2\/8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229036 - 143202. Suppose 0 = 201*a - 187*a - w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -498403\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(68) + sqrt(68) + sqrt(68) + 2 + 4 - (5*(sqrt(68) + 0 + sqrt(68)) + sqrt(68)))**2.\nAnswer: -384*sqrt(17) + 8776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -13. What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -552639\/5 >= -110528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10406 (base 7) to base 4.\nAnswer: 220223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**5 - 5*l**4 + 7*l**2 - 5. Let v(i) = 21*i**5 + 18*i**4 - 24*i**2 + 18. Let a(j) = -18*f(j) - 5*v(j). Find the third derivative of a(d) wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 238d70?\nAnswer: -238d71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 174 times 9.65245\nAnswer: 1679.5263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:47 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158165150 and 4550.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 40. Let w = c + 54. Solve 5*d + 6 = 2*j - w, 2*j - d = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808*w + 806*w = -5514. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/130 and 35\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5645*y + 10016*y - 4373*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.1 - -21.7. Let i = -74 - -40. Let z = l - i. What is the third biggest value in 3, 2\/13, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, f: 1, m: 2, v: 1, l: 1}. What is prob of sequence lgx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 2*b - 0*b + 4*j, 0 = 5*j + 5. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*x + 28, 4*n + 2*x = 7*x + 119. Suppose 3*m - n = 2. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 2*n + 2. Suppose 0 = 5*w + 6 + 4. Let v be b(w). Let d(f) = -21*f - 3 - 14*f - 22*f + 54*f. Determine d(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 158. Let s = -232 - w. Let i = -221 - s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1\/8, -0.5, -5, 3.347?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12 + 2*w**3 + 8.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 6378 = -2982. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267 and 4.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from uhlxfyx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*a - 6*o, -2*o = -a + 6. Let l be 118\/8 + 10\/40. Suppose 0 = i + 2*g, -g - l = 2*g. Calculate the greatest common factor of i and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.48, -4\/7, 0.3 in increasing order.\nAnswer: -4\/7, 0.3, 6.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 37*d - 21. Let p be x(11). Let n(q) = q**3 - 17*q**2 - 13*q + 19. Is n(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42116 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218265 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11127 - 14?\nAnswer: -11141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253234850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*m - 15, -20*s - 3 = -24*s + 8*m - 7*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 47*d - 131573*d**2 + 4 + 131458*d**2.\nAnswer: -115*d**2 + 29*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 107689296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 13 - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l**1*l)**(-8\/17)\/(((l\/(l\/l**(1\/2))*l)\/l**(-3))\/((l\/l**9)\/l**2)) assuming l is positive.\nAnswer: l**(-517\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 67?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76))*-3 - (-2*sqrt(1862))\/sqrt(2).\nAnswer: -9 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(5445) - sqrt(5445))\/sqrt(9) + sqrt(60)\/(sqrt(12) - sqrt(84)\/(sqrt(7)*2))).\nAnswer: -78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 371b1?\nAnswer: -371ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499 + 3*o**3 + 2*o**3 - 6*o**3 + 600 - 81.\nAnswer: -o**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 4*i**2 - i. Give o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2747*n = -2527*n - 39600. Calculate the smallest common multiple of n and 235.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:28 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13 + z**3 + 7*z**2 - z**2 + 13 - 9*z. Let r be j(-7). Solve -a = 4*a - 2*f + r, -5*a = -3*f + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*1*5)\/(sqrt(8) + (sqrt(8) - sqrt(200))*-5)*5.\nAnswer: 100*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 455, 638, 821, 1004, 1187?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15706851 times -1?\nAnswer: -15706851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1922 + -3?\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -38 - (-4 + 16) - (1 - -10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 8*t**2 - 2*t**2 + 0*t**2 + 3*t**2 - t**2 + (4*t - 2*t - t)*(-4*t + t + 4*t) + 69*t**2 + 44*t**2 + 287*t**2.\nAnswer: 407*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, 0 = -2*t - 5*w + 8225 + 87. What are the prime factors of t?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04984669985 to 3 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2541 and 2331?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 - 100*q**4 - 1823*q**3\/3 - 1322*q**2 - 3668*q\/3 - 408 = 0. Calculate q.\nAnswer: -2, -1, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 155288?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 43*x**2 + 15*x + 81. Let t be (-2)\/3*3*644\/56. What is the tens digit of z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/29)*p\/(p*p**(-1\/5))*p*(p**10)**(-1\/2) assuming p is positive.\nAnswer: p**(-416\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 312, 357, 400, 441, 480, 517?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*s + 19 = 5*y + 1385*s, -5*y + 9*s = 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 0 (d) 9 (e) -566 (f) 2.1 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 divided by -4?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024293446533 to five decimal places.\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(11\/2))**(10\/7)\/(a**9*a)**(-17) assuming a is positive.\nAnswer: a**(1255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 4, -3, 11, 74, -4 in decreasing order.\nAnswer: 101, 74, 11, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by 133.\nAnswer: -80\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231095 = -2*t + 5*f - 2*f, -1 = -f. Suppose m - 2964451 = t. Round m to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7, 2, -2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n - 8. Suppose 3*v + 15 = 5*l, 3*l - 2*l - 4*v = 3. Let j be u(l). What is the common denominator of 33\/(-2) + 7\/j and -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 766\/7 or -1321\/34?\nAnswer: 766\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 4:58 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 6*l**2 - l**2. Let v(r) be the second derivative of 0 + 0*r**2 + 14*r + 7\/6*r**3. What is b(v(z))?\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 17\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 - 6*s + 1. Let k be r(-2). Calculate the greatest common factor of k and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*w + x, 29*w - 31*w + x + 10 = 0. Let z(g) be the second derivative of 4*g - 1\/120*g**5 - 1\/12*g**3 + 0 - 1\/12*g**2 - 1\/24*g**w. Factor z(p).\nAnswer: -(p + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15878 (base 10) to base 6\nAnswer: -201302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0393*-7.4861\nAnswer: -0.29420373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x + 2. What is u(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6)**(-23\/2) assuming l is positive.\nAnswer: l**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + 195\/(-99)). What are the prime factors of (-4)\/6*g\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11108527*l + 16 - 11108582*l - 16.\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 38\/(-76)*2*1. Let o(u) be the third derivative of -16*u**2 + 0 - 1\/10*u**4 + 1\/14*u**n + 6\/25*u**5 + 0*u - 9\/40*u**6 + 0*u**3. Factor o(a).\nAnswer: 3*a*(a - 1)*(5*a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a + 14. Let c(b) = b + 2. Let w(k) = -21*c(k) + 3*r(k). Let f(m) = -m**2. Calculate f(w(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-1*(-7 - -5). Is 3015\/55 + x\/11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36001430968 take away 89?\nAnswer: -36001431057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451120950.\nAnswer: 2, 3, 5, 7, 41, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 47 = o + 1130*s - 1136*s, 800*o + 5*s - 42 = 798*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = s, -4*j + 5*s - s = -0*j. Let x(g) be the third derivative of -1\/30*g**5 + 0 + 11*g**2 - 1\/6*g**4 + j*g**3 + 0*g. Solve x(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1448*o**2 + o + 26739.\nAnswer: 2896*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.175813 to four decimal places.\nAnswer: -0.1758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 44 = 0. Let b be (-8)\/6*((-66)\/8)\/g. Suppose -b = 2*o - 97. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13954880.\nAnswer: 2, 5, 43609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15722706*x + 4582782 with respect to x.\nAnswer: 15722706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 4) in base 7?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111505.\nAnswer: 3, 5, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 24*4\/6. Suppose u + h = 3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 122246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0 + 2\/3*d**3 - 1\/120*d**6 + 0*d - 26*d**2 - 1\/10*d**5 - 1\/12*d**4. What is t(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*w = w - 120, -4*q - 96 = 2*w. Let b be 6\/(-5)*(-80)\/q. What is the remainder when 2 is divided by b\/5*15\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c8 + -3?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-162)*54\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2 - -10)\/2. Suppose 4*b + 3 - o = -r, -2*r = 4*b + 2. Suppose 2*f = -2*q - b*q + 14, 0 = 2*f + 3*q - 16. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2299*s - 5 + 747*s - 3. Let h(m) = -1553*m - 8. Let w(l) = 3*c(l) - 4*h(l). Let g be w(7). What is g rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 918877585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -238 - 4 - -7 - 5. Is 7 a factor of (-1 + -3 + 0)\/(3\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1132230 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 2. Let p be b(0). What is the common denominator of 0 - p*(-87)\/(-24) and 33\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -28 - 12. Let b be 2\/(-10) - (-204)\/l. Let f = b + -6. Solve f*i = 4*y, 4*y = 9*y + i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16621380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 6. Let k(s) = -29*s + 17. Let d(f) = f + 4. Let j be d(2). What is j*k(h) - 17*u(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/3)\/(5\/15). Which is smaller: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9 - 13*k + 0 + 5. Let h(w) = 3*w + 1. Let n(g) = -g + 5. Let c be n(7). Determine c*z(j) - 9*h(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11437 - 89?\nAnswer: -114c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 + 5)*(-2*r**3 + 1 - 1)*(-3 + 2 + 3).\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 42 (b) -4 (c) 95959\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 5*z + 6*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 + 78\/15. Suppose -z*n + 0 = -10. Suppose n*h - 9 = 11. Calculate the greatest common factor of h and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-7))\/(315\/1862) and 19\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 75\/2 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.78 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**2\/2 + 4*u - 3. Let v be c(6). Let g(r) = -4*r - 3. Calculate the remainder when 17 is divided by g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18957737 to the power of 1\/2, to the nearest integer?\nAnswer: 4354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ddrffpddpdfxdrfzdffd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 235c625?\nAnswer: 235c624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 d when four letters picked without replacement from dhhqqddhdddqqdhddhd.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39647626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:32 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u + 4. Suppose 2*k + 4*w - w - 7 = 0, k = -3*w + 5. Suppose -s + 1 + k = 0. Give o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l - a, 22*l - a - 5 = 19*l. Suppose 0 = -5*p + 3*i + 33, -l*p = -i + 70 - 89. Calculate the smallest common multiple of 841 and p.\nAnswer: 5046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193.581 and -0.05.\nAnswer: 9.67905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = g - 0*g + 4*u, 5*g - 4*u - 750 = 0. Suppose 160 - 130 = 5*i. Calculate the least common multiple of g and i.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 18 + 34 + 28 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:03 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*27*((-3)\/4)\/((-30)\/(-20)). Which is smaller: 51 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 120 + 145 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*x - 35*x + 35346 = 82*x - 383*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r**2 + r - 2. Let w(y) = -7*y**2 + 7*y - 1. Let p(x) = 9*x**2 - 9*x + 2. Let i(t) = -3*p(t) - 4*w(t). Let d be i(3). What is k(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238 a factor of 316232004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1331*o**2 + 26*o - 87. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -1136, -1711?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48635*j**2 - 9449 + 9449 - 48637*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -9. Let q be 2 - 16\/7 - 22506\/(-273). Let u = -82 + q. What is the closest to -6 in u, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - f**2)*(3*f - f + 2*f)*(3*f + 2*f - 4*f) - 4*f**4 - 12*f**2 + 12*f**2.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5676 = 4*k - 4*l, 3*l = 5*k - l - 7095. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (47\/50 + -1)\/(33\/(-165)). Let t = -7\/5 - -11\/15. Which is the nearest to t? (a) 4 (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -69 (b) -1150 (c) 0 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*t**3*y + h**3*t*v**2 - 2*h**3*v**2 - 4*h**2*t**3*v**2*y + 5*h**2*t**2*v*y - 9*h**2*t*v + 2*t**2*y wrt t?\nAnswer: 6*h**3*y - 24*h**2*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m + 14. Calculate k(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1356, 5459, 12364, 22125, 34796?\n\"Answer: 9*k**3 + 1347*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*4*8\/(-80)*1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + u - 94 = -75, 23 = -4*h + 5*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/21)\/((-5)\/70).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 5298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmywtga. What is prob of sequence gmyw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6427563 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4699 = -24*l + 9557. Calculate the smallest common multiple of 33 and l.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449823 is divided by 461.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z - 0. Suppose i - 13 = -z*s, 4 = -4*s + 5*i - 5. Find the second derivative of -s*w + 3*w - w + 2*w**3 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/452 and 49\/173342.\nAnswer: 346684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*s - 21, 6206*s - 6208*s - 4*i - 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110 (base 2) in base 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 8:10 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*p + 18, 2*d = -p - 26673 + 26659 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 175*h - 1254. Does 18 divide i(-147)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1600682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*2)\/sqrt(8) + sqrt(33))\/sqrt(11) + (-5 + sqrt(363) + 0 + sqrt(363))**2.\nAnswer: -217*sqrt(3) + 1477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + d**2 - 4*d**2)*(2*d + 3 - 3) - 5*d**3 + 9*d - 9*d + 6.\nAnswer: -7*d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*n = -1266*n - 4020 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(4 + sqrt(567)*-2 - (-2 + sqrt(567) + -3))*1 + 1))**2.\nAnswer: -31968*sqrt(7) + 332068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306855540?\nAnswer: 2, 3, 5, 103, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 944\/(-27848)*(12 + -661)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmneemmememmmmnm. Give prob of picking 3 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 379 - 558. Let t = p + 360. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**3 - l**4 + l**2 + 10*l**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*s**2 - 1)*(-1 - s + 1) - 4*s**3 - 3*s**3 + 3*s**3)*(-1 - 73 - 96).\nAnswer: 1020*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-12))\/(v\/(((((v*v*v*v**(-10)*v)\/v)\/v)\/v)\/v))*v*((v**(-17)*v)\/v)\/v*v*v\/((v\/((v\/(v*v*v**(-7)))\/v)*v)\/v))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**3 + 29*i**2 + 26*i - 43. Let l(q) = -46*q**3 - 59*q**2 - 53*q + 87. Let n(d) = -11*f(d) - 5*l(d). What is n(-23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1440?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 12 - 12 + (-1 - 3 + 3)*(-113*v - 146*v + 61*v) - 2*v + 6*v - 3*v.\nAnswer: 196*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -527, 15, 78 in descending order.\nAnswer: 78, 40, 15, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 0*m**2 + 18*m**2 + 10*m**2.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -572*i**2 - 3*i - 1. Let y(p) = 858*p**2 + 4*p + 2. Let o(x) = -8*u(x) - 5*y(x). List the prime factors of o(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 489 - 35 = -2*j - 782, -5*l - j - 198 = 0 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31313.56 years?\nAnswer: 313.1356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33081389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413165.\nAnswer: 5, 82633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -1\/30*u**3 + 3\/5*u - 148 + 1\/20*u**2. Find b, given that i(b) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 0. Suppose a - 2*a - 290 = k. Let p = -412 - a. Round p to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4904 and -0.5?\nAnswer: 0.2452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 4. Let o(p) = -17*p + 13. Determine -o(w) - 3*s(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -32. Suppose -5*r + 3*o = y, -4*r - 9 = -3*r - 5*o. What is the units digit of -120*(r + (-12)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 3176*s - 29146. Determine p(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - (-6 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0 - 3*a**2 + 0*a + 1\/24*a**4 + 0*a**3. Let o(y) be the second derivative of y**3\/6 + 2*y. Calculate o(g(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.15384 - -0.45516. Let z = 45.4 - g. Round z to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((-38)\/((-228)\/9))*-72\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - g - 5 - 1 + 2 to a + z*g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*l - 2*h, -3*l + 8*l - 30 = -5*h. Let r be 4182\/(-24) + (-6)\/l. Let f = -1931\/11 - r. Which is bigger: f or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 38*t**2 + 107*t - 82. Calculate n(-35).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19191179 <= -19191179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:53 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**48*(b\/(b\/(b\/b**(-5))*b))\/(b\/b**3) assuming b is positive.\nAnswer: b**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164729280*z + 865668783.\nAnswer: 164729280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, x: 4, l: 2, y: 1, w: 5, h: 4}. What is prob of picking 2 w and 2 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.2955l in millilitres?\nAnswer: 677295.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 83 + 17 = 0. Let s(t) = -t**2 - 9*t - 4. Let q be s(0). Let d = y + q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851690?\nAnswer: 2, 3, 5, 61723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2*q - 3. Let z be v(0). Let k be -6*((-1)\/z + 5\/(-6)). Suppose 2*x + k*o = 68, -2*o + 70 = -2*x + 4*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5768 by -1.\nAnswer: -5768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33425 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.11355581 rounded to three dps?\nAnswer: 5.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t**(-2\/3))*t)**(-50)*t**(-3\/11)\/t*t**(2\/29) assuming t is positive.\nAnswer: t**(-128752\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -167\/2. Let q = -0.7 - -0.4. Which is the closest to -0.1? (a) 2\/17 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -81156972?\nAnswer: 81156975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = 4*l. Suppose l = -y + 5*y - 1024. Does 32 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 4*b - 1. Let l(v) = -v + 4. Let u be l(7). Let j be p(u). Suppose -5*z = 25, 2*z = -6*a + 3*a + 17. Solve -a = j*k - 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 + 2*l + 15. Let x(j) = j**2 + j + 1. Let n(o) = -w(o) - 3*x(o). What is the units digit of n(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4639585983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9198555 and 77\/50430.\nAnswer: 754281510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38 minus 1184?\nAnswer: -1186.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let x = -10 - -15. Suppose x*y = 3*y + r. Put -3, -2, y in ascending order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 11) to base 7.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.0137 - 0.0137. What is the closest to 0 in o, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-40)*10\/6. Suppose -w + 5*p = -4*w + 251, s*w - 176 = p. Are 87 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 23*k - 18. Let c be a(-21). Let g = c - 27. Let n(p) = 4*p**2 - 10*p. Let i(v) = -3*v**2 + 9*v. Let t(q) = 6*i(q) + 5*n(q). Calculate t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301436?\nAnswer: 2, 179, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -25*s + 2716. What is the remainder when s is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2 + 6)\/(0 - 1). Which is the fourth biggest value? (a) 0.5 (b) 1\/3 (c) v (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 591, 1085, 1579, 2073?\n\"Answer: 494*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**4 - 189986*c**3*f + 5*c**2 + 346*c*f - 233*c - f + 1 wrt c.\nAnswer: -24*c**2 - 1139916*c*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 807081, 1614136, 2421191, 3228246?\n\"Answer: 807055*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -42.3. Let v = -0.3 - n. Let c = 30 + -30. What is the closest to c in v, 4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 205 = 4*l, -130 = -10*l + 7*l + w. What is the lowest common multiple of 90 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166.9 and -1366.\nAnswer: -227985.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3863 (b) -2\/191 (c) -0.5 (d) 2\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from akafzf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w + 0*w**4 + 0*w**3 + 23\/60*w**5 + 13*w**2 - 13. Let i(s) = -2*s + s + 2*s. Calculate i(p(c)).\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.266991425 - -0.06\nAnswer: 0.326991425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 26 - 14. Let s be (-12)\/t*284\/(-3). Calculate the common denominator of 3 - (s\/22 + 0) and -44\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463 by 71169.\nAnswer: -463\/71169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:38 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*a**2 - 176*a**2 + 190452*a + 88*a**2 - 190452*a - 91*a**2.\nAnswer: -267*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/467097 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/8, 44, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108120012.\nAnswer: 2, 3, 7, 11, 13, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, r: 5, v: 1, o: 5, f: 4}. Give prob of sequence frov.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:32 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 27*r**5 + 77*r**4 + 61*r**3 + 11*r**2 - 6*r. Let f(i) = 108*i**5 + 309*i**4 + 243*i**3 + 45*i**2 - 24*i. Let u(c) = 2*f(c) - 9*m(c). Factor u(a).\nAnswer: -3*a*(a + 1)**3*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24368829 and 11\/665815.\nAnswer: 121844145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:38 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/4 - 2*a**3\/3 - 4*a**2 - 11*a + 721. Determine l(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1304\/50 - 204\/2550. Sort 0, 4, 2, j.\nAnswer: 0, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19256 + 9087. Let y = g + 223609\/22. Find the common denominator of -29\/6 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -8)\/(3\/(-2)). What is the remainder when 63 is divided by 15 - -1*(3 + g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 136, 218, 364, 580, 872, 1246, 1708, 2264?\n\"Answer: v**3 + 26*v**2 - 3*v + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 + 4*s - 73. Calculate q(0).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -34. Suppose -2*b = -2*h - 3*h + 5, 0 = 3*b - h + 1. Suppose 0*q - s*q + 15 = b. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -10, -2\/13, 44\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:48 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*s - 22 + 22)*(3*s - 2*s + 2 - 2*s) to the form j*s**2 + g*s + n and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.138 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 42607.4115 to the nearest ten.\nAnswer: 42610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48843.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a (base 12) to base 10.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 8. Suppose 2*m - 8 = -2*z, -m - l*m - 2*z + 11 = 0. Suppose 2*c = m*c - 119. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158448 and -3?\nAnswer: 475344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 523066 - -3?\nAnswer: 523069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 624, 1000, 1284, 1446, 1456, 1284?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(350))\/(sqrt(32)*-1).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12) - (-7 - 803\/(-66)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0 - 5\/28*j**4 + 1\/210*j**5 + 144*j**2 + 0*j - 16\/21*j**3. Factor w(r).\nAnswer: 2*(r - 16)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**3 - a + 1. Let p be m(1). Suppose -c = 4*g - 2, 8*g - 3*g - 3*c = -p. Solve g*u + 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, -40, -198, -388, -592, -792, -970, -1108?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:12 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*i - 126*b + 128*b, 0 = -4*i + b + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15714449 from 12.5842.\nAnswer: -15714436.4158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00214114494 rounded to 5 dps?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -76.2 (c) 0.07 (d) -303 (e) 2 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**3 - 5*z**2 + 5*z - 4. Let j(s) = 11*s**3 - 4*s**2 + 4*s - 3. Let d be (-156)\/60 - (-28)\/(-20). Give d*c(i) + 5*j(i).\nAnswer: 7*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgzktggztzqziz. Give prob of picking 1 g and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 120, 167, 214, 261?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/12 - ((-1484)\/12 - 2). Let x be -6*(-7)\/c + 8\/(-6). Which is bigger: x or 1\/255?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21059, -20797, -20535, -20273, -20011?\n\"Answer: 262*l - 21321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-18)\/2*(-3840)\/(-5280)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 4*o, -5*z + 2*o + 35 = 0. Suppose 6 = -z*c + 51. What is the remainder when 26 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + 9211*a**3\/2 + 84824097*a**2\/4 - 42425866*a + 21215236.\nAnswer: (a - 1)**2*(a + 9212)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - ((-294)\/12 - 25)) + (-7)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654396139 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 the cube root of 37629 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 2, l: 7, t: 2, n: 2}. Give prob of picking 1 n and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.9 (b) 0.4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5 + ((-721)\/(-35) - -4) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 times 4\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-5 - (2 + 3 - 11)). Let p = -11\/14 + 1\/2. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0 - y**2 + 0*y - 1\/40*y**6 + 0*y**5 - 1\/8*y**4 + 0*y**3. Find the second derivative of d(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/24)\/((0 + -3)*(-20)\/180)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 392d + 532?\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 5*g**2 + g**4 + 3*g**4)*(8*g + 19*g + 192*g).\nAnswer: 876*g**5 + 219*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116660.\nAnswer: 2, 5, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 23. Let v(n) = 7*n - 22. Let h(c) = 4*t(c) - 5*v(c). Let l be h(12). Let k be 4\/6 + 64\/l. Put -1\/4, -2\/13, k in decreasing order.\nAnswer: k, -2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2557200 to the nearest ten thousand.\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**3 + 7*w**2 + 7*w + 2. Let r(f) = -3*f**3 + 2*f**2 + 2*f + 1. Let m = -21320 - -21327. What is m*r(c) - 2*h(c)?\nAnswer: -3*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7266 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 261616.\nAnswer: 5\/261616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*m - 57, 24 = -3*t - 2*m + 59. What is the common denominator of 1086\/(-72) + (t\/3)\/(-18) and 87\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2. Let x(j) be the first derivative of j**4\/12 - 3*j**2 - 2. Let p(d) be the second derivative of x(d). What is f(p(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -x + 2, x = -3*c + 9. Let f = c + -3. Suppose 3*l + 17 - 56 = f. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:35 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/((y\/y**3)\/y)*(y\/(y**(-6)\/y))\/(y**(-7)\/y))\/((y\/(y\/(y\/(y\/y**(-2\/15)))))\/(y**(-10)*y))**(-2\/137) assuming y is positive.\nAnswer: y**(35201\/2055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-296)\/(-518)*(3\/(-2) - -1). Suppose -2*p + t = -0*t, 6 = 3*p - 3*t. What is the second biggest value in -0.3, p, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**4 - 9*r**4 + 2*r**4)*(3 + 1 - 6) to a*r**4 + j*r**3 + h + i*r**2 + c*r and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*b = -70, -x - 4*x + 415 = -2*b. 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 -396 divided by 33?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -29*i - 8 + 4 + 28*i. Let k = 0 + -2. Let d = 2 - k. Give r(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 5*i - 8. Let j = -1178 + 1174. Let c be (-27)\/5 + 2\/5. Let h(v) = -5*v**2 - 4 + 3*v**2 - 3*v + 11 - v. What is c*h(y) + j*x(y)?\nAnswer: 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 2*w - 2*w)*(3 - 5 + 4) - 2*w + 0*w + 0*w + 34*w + 19*w + 33*w to the form s + o*w and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 2*t, 12 = t - 5*m + 2*m. Suppose t = -2*j - 3*j + 55. Solve 5 = z + 5*l - j, 3*z + 16 = l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 560*s**3 + 2*s**2 + 3*s + 1. Let u be t(-1). Is ((-2)\/(-4))\/(4 - (-2233)\/u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8*z + 60. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805 divided by 755.\nAnswer: 361\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3039667*l**3 + 967123*l**2 - 3 wrt l?\nAnswer: 18238002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3422 - 3419. Sort -7, -4\/3, u in increasing order.\nAnswer: -7, -4\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029683604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9960641 - 0.2159327. Let i = 0.288009 - o. Let c = 4.5 - i. What is c rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 16*a**2 - 10 + 8*a + 8*a**2)*(129*a**3 + 24*a**3 + a**3).\nAnswer: -1232*a**5 + 1232*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**5 + 4793*i**4 - 4793*i**4 - 20*i**3 + (0*i**2 + 0*i**2 - i**4)*(-1 + 1 - 2*i) + 5*i**5 + 3*i**5 - 5*i**5.\nAnswer: -i**5 - 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 58 = -u + 2*u, 5*u - 3*s = 290. Suppose 4*w + 3*n - 33 = 0, 7*w - 3*w - u = 2*n. Solve -w*p = -9*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45.6 - 45.5. What is the nearest to 6 in 0.2, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = l - 0*j - 65, 0 = 5*l + 2*j - 319. Let b = l - 153. Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**2. Let s(r) = 19*r**2. Give s(p(j)).\nAnswer: 1216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1942\/9 - 216. Let d = 0 - j. Find f such that 10\/9*f**3 + 0 + 4\/9*f**2 - 4\/3*f**4 - d*f = 0.\nAnswer: -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 k when three letters picked without replacement from lgftdkt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(9\/(-2))*(1 - 2). Let r = 649 - 650. Which is the nearest to r? (a) j (b) 1.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*(9 - (-184)\/(-40)). Suppose 0*q + 2*b = -2*q + n, -3*b = -5*q + 275. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 2*r + 8, 0 = r + 2*q + 23. Let k be (-2 + 1)\/((-5)\/r). Let l = 7.117 + -7.117. Which is the closest to -1\/4? (a) k (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 54.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -7*g**4\/6 + g**3\/3 + g**2\/2 - 11*g + 15. Give q(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 = s - 1497. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -8 + 4. Let j(v) = 2*v**u - v**2 - 2 + 2 + 1. Let k(h) = -8*h**2 - 2*h + 3. Let a(q) = 2*j(q) - k(q). What is a(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -882*g + 2612. Calculate z(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258287 is divided by 477.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 406, 484, 614, 796, 1030, 1316?\n\"Answer: 26*q**2 + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let v(y) be the first derivative of 0*y + 0*y**2 + 4 + 1\/3*y**3. What is s(v(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 28*c + 9835 = 0. What is the second derivative of c*u + 3161*u**2 - 160*u**3 - 3161*u**2 wrt u?\nAnswer: -960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a factor of 124617087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/750 and 19\/200325.\nAnswer: 2003250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.18107 times -27?\nAnswer: -85.88889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -710058 rounded to the nearest one thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c*c)\/c)**(-3)*(c\/(c\/c**2))\/c**(-2\/3) assuming c is positive.\nAnswer: c**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*v + 12, -3*v = 2*w - 7*w + 15. Let u be (3\/153)\/((-1)\/w). Suppose 0 = -4*d - 0*d. Which is the smallest value? (a) u (b) 1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + g - 7, -4*f + 4*g - 23 = -27. Put f, 9, 8 in decreasing order.\nAnswer: 9, 8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47721.41 to the nearest 100.\nAnswer: 47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 + (-459)\/(-189) - (-12)\/(-4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7501.42 to the nearest 100.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 - (37 + 14 - -46).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-165)*(-18)\/(-9) and -109\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2529 + -45511\/18. Suppose 166 - 172 = -3*z. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -14*k - 8. Is 6 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311.34 - -308.34. Which is the second smallest value? (a) 0 (b) -0.3 (c) -8\/5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 105 = 3*s, 2*d - 150 = -d + 3*s. Suppose 4*m - 48 = i - 6*i, 5*i = -5*m + d. Solve 2 = -5*b + i, -2*u + 2 = 5*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135403 (base 10) to base 8.\nAnswer: 410353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**8\/336 - 17*c**7\/42 - 13*c**6 - 87*c**5 - 6*c**2 - 26. Factor j(b).\nAnswer: 5*b**2*(b - 29)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(1539) + (2 + sqrt(1539))*3 + -2 + -5)**2.\nAnswer: -162*sqrt(19) + 124660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47420 and 28452?\nAnswer: 142260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86.5 + -86. Let x = -45.42 - -47.2. Which is the second biggest value? (a) q (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7350 and 600.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10703.357 + 10.643. Let j = y - 10712.0012. Let p = -2 + j. Round p to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(25\/2)\/m)**(6\/11) assuming m is positive.\nAnswer: m**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1109581.6.\nAnswer: 1109581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 7\/2*z**2 - 3\/4*z**4 - 2*z - 11\/6*z**3 + 1\/20*z**5 - 20. What is l(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/9 (c) 2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 - 91 = -5*f. Calculate the greatest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 9, j: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2\/1) - -5. Suppose -q*a = -2*a - 4, -4*a = 2*p - 8. Suppose -2*y - r - 3*r = -28, -p*r + 10 = 0. What is the least common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-1 - -1) + -1. Let l(j) = 5*j**2 + 4*j + 10. Let s(n) = 6*n**2 + 5*n + 11. Suppose -11*d - 66 = -0*d. Let q(z) = d*s(z) + 7*l(z). What is q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 9204.\nAnswer: -13806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence przn when four letters picked without replacement from mznnnnpqnnrpznm?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1358 + -1363. Suppose 5*d = p - 15, 0 = -2*p + p + 3*d + 9. Suppose 2*n - 24 = 3*x + 2*x, p = -x - 5*n - 21. Is x smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 176, 1 in decreasing order.\nAnswer: 176, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*a + 1380 = -127*a. Let c = a - 345. Solve c = 3*s - 2*v - 3, -2*s - v = 3*v - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34909?\nAnswer: 7, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 28*j + 6174 = 0. What is the least common multiple of j and 6?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/10)\/(-8 + (-13972)\/(-1750)). Suppose -5*s = -4*f - 191, -6*s = f - s + 54. Which is greater: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/13, -1\/5, -0.1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18301063 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 17 + (58 - 64))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150667832 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7291, -14470, -21591, -28654, -35659, -42606, -49495?\nAnswer: -56326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmmm. Give prob of picking 2 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r - 161. Determine t(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37208011 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)\/q*q\/(q\/(q\/(q\/(q**(1\/4)\/q)))))**(-13))**(-5\/7) assuming q is positive.\nAnswer: q**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o. Let i(p) = -8 + 39*p + 3 + 5. Determine 5*i(b) - 18*u(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 178?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**4\/4 - f**3 - 3*f**2\/2 + 3*f + 14. Let p(u) = u**2 + u - 1. Give 3*p(o) + z(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46\/75 + 67\/25. What is the common denominator of a and -41\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*((-6 + 17 - 10)*(-y + 0*y + 3*y) + (-2 + 2 - y)*(1 - 5 + 2) - 2*y - y + 2*y + 2*y - 19 + 19).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -721 + 1?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 2\/(-4)*(56 - 54 - -8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -2.5. Let i = -2.435 + -7.917. Let z = -0.352 - i. Which is the nearest to z? (a) -2\/9 (b) t (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3655 divided by 7?\nAnswer: -3655\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5735392 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbffb. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -127?\nAnswer: 30\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/4)\/((-225)\/630*7)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:43 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/84 and -107\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2495283 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -169572.61.\nAnswer: 33914.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 10:51 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Suppose -6*i + i - 3*z + 78 = 0, -2*i + 28 = -2*z. Determine y(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 13 = 4*g + i, 2*g - 23 = 5*i. Suppose 0*j - 4*j + 3*f = 6, -g*f = -2*j - 8. Is j less than or equal to -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 561*m**2\/2 + 2237*m\/4 - 840.\nAnswer: (m - 1)*(m + 3)*(m + 1120)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 2*p**2 - 2*p + 3. Let h be b(3). What are the prime factors of (-6)\/h - (-5653)\/13?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -478751761201138287 - -4076092489848310481101\/8514. Let a = c - -589403434. Let m = 6\/473 + a. Find the common denominator of 53\/156 and m.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 3. Suppose -x*y + 17 = -55. What is the greatest common divisor of 192 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*b - 5*b - 32*b - 140. Solve -c + 18 = -b*t, 2*t = -2*c - 3*c + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2026 = 2*g - 5*p, 5*g - 5019 = -0*g + p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8400 + 16814 - 8414 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25949927, 25949928, 25949929, 25949930, 25949931, 25949932?\nAnswer: 25949933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -97\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6385 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 9 = -b - m, 0 = 6*m + 3 - 3 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.5, 3, 125.14, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:20 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1 = 11. Let f = -3 + -1. Let i = f + 2. Sort i, 1, a in decreasing order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:10 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**8\/c)*c)\/(c*c**4))**19 assuming c is positive.\nAnswer: c**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4495 - -5.5505. What is the third smallest value in -1, 2\/3, a, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(540))\/(-4*sqrt(147)) - -1*(5 + (((sqrt(5) - sqrt(20)\/sqrt(4)) + 0)**2 - (sqrt(80)\/sqrt(4))\/sqrt(4))).\nAnswer: -13*sqrt(5)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*m - 123*m - 181*m - 124*m + 912*m.\nAnswer: 303*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.670000452 - -45.67. What is s rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let t(m) be the third derivative of -5*m**4\/24 - 7*m**2. Determine t(a(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -5\/3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*d - 5*b + 13, -2*b + 13 = d. Let r(q) = 1 - 1 - d + 6*q. Let p be r(3). Solve 3 = 2*x - 3*h - 2, 0 = -5*h - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6548 = 6608, 8*z - 16 = -4*c + 10*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 6*w**2 - 1178*w - 9286. Determine b(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Suppose -10 = -a*c, 3*c + 0*c + 3 = -3*d. Let l = d - -3. Solve -p + l*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*j + 237*j + 264 = 0. What is the remainder when 261 is divided by j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 588\/(-308) - 2\/(1 + -5) and 5\/19.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l + 2. Let s = 392 - 390. Give h(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.9. Let w = -5 - 1. Let u = w + 6. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(9\/((-18)\/(-7))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.8 - -125.07. Let p = -169 - -101. Let m = p + w. What is m rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:04 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n + 0)*(-1 + 1 - 2*n)*(-2 + 1 + 4)*(-n - 7*n**2 + n).\nAnswer: 84*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2182284, 2182320, 2182376, 2182452, 2182548?\n\"Answer: 10*i**2 + 6*i + 2182268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 62 = -4*c, 5*x - 4 = 2*c - 3*c. Solve w = -4*g + 3 + c, 5*g = -5*w + 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -5*c - 36. Solve 4*a - c*a + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*s + 10 - 7 + 2*s**2 + 351*s + 2*s**4 to u + n*s + l*s**3 + y*s**2 + o*s**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4045, -8081, -12095, -16075, -20009, -23885, -27691, -31415?\nAnswer: -35045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 532 = -4*f, 7*t + 3*f + 203 = 5*t. Let q(g) = -24*g - 5. Let u be q(-5). Let v = t + u. Solve -3*p = 4*r + 35, 0 = 2*p - r - v*r - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313693446.\nAnswer: 2, 13, 29, 223, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -0.3 in descending order.\nAnswer: 5, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:48 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37 - 0.13. Let m = 0.2 - 0.2. Let r = m - 0.1. Which is the closest to 0.1? (a) r (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -49.2. Sort q, 37\/6, 3 in descending order.\nAnswer: 37\/6, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -69. Let n be 1 + z\/(-42) + 4\/(-14). What is the second smallest value in -1, n, -0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*f - 5*f - 20 = 0, 0 = -3*f. Let z = 4 + j. Let s = z + 8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -922 + 1696. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16545\/77 + -2362\/11. Factor 4\/7*n**2 + 9\/7*n**3 + h*n**5 + 0*n + 0 + 6\/7*n**4.\nAnswer: n**2*(n + 1)**2*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**5 - 6*w**4 + 311*w.\nAnswer: -100*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24277801 a multiple of 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 72714.132ns?\nAnswer: 0.00000002019837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5595, 1, -1, 8 in ascending order.\nAnswer: -5595, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 171.4107 and 95422.\nAnswer: 95593.4107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2, 2\/9, 1188, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584774 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, and 2 b when four letters picked without replacement from {u: 2, b: 3, c: 1, k: 3, q: 2, y: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 12*x + 7*x**2 - 9*x**2 - 5*x**2 - 5*x**2 - 15. Determine z(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508611 and 98153?\nAnswer: 5594721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 617*a - 612*a. Suppose -86*h = -3*r - 85*h + a, -4*r = 2*h - 12. Let b = 2 - 1.9. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, r: 5}. Give prob of picking 2 r and 2 d.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one eighths of a tonne?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 + -0.14. Let s = 0.4857 + a. What is s rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = 0. Suppose 0 = -a*h - 5*h - 90. Let v = -11 - h. What is the smallest common multiple of v and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)\/t)**(16\/9)\/(t\/t**(-2))**(-2))\/((t**7\/(t**3\/t*t))\/(t**(-2\/11)\/(t**(1\/3)\/t))) assuming t is positive.\nAnswer: t**(562\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2\/4)*0. Suppose -2*z = 3*a + 3*z - 24, -2*a = -2*z. Solve m = l + a - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3120, 61, 3232, 6387, 9520?\nAnswer: 12625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1828734825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*i - 179, -4*z + 0*z + 4*i + 144 = 0. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 421.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7 + 13?\nAnswer: 101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04139*0.04\nAnswer: -0.0016556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4 + 6. Solve g - 3*g = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/17, -1, 0.521?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2233102?\nAnswer: -2233102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + q**2 - 1 - 6*q - 2 + 0*q**2. What is the units digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 106*u + 107*u - 219*u. Let s(n) = n. Determine j(s(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 10133033?\nAnswer: -10133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 0.035, 4?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112) + -3 + 3 + sqrt(112))*3.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*b = h - 578*b - 13, 5*b + 33 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8336725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 6, o: 4, f: 6}. What is prob of sequence syy?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135.8 + 136. What is the nearest to -10 in 1, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -190\/7, -4, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 20. Determine i(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13226332 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1408\/(-264)*-3*1\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6984 is divided by 2327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d + d**3 - 1 + 11\/12*d**4 - 3*d**2. Let x(w) = -10*w**2 - 5*w + 5. What is -5*r(b) - 6*x(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161531 and -0.02.\nAnswer: 3230.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 0.34. Let d be (-1)\/3*(20 - 23). Let l be (-1)\/(d\/3*-3). Which is the biggest value? (a) s (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(10 - 4*j - 10)*(2 + 1 - 5) to the form i + h*j and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 44\/8)*10. Let h = z + 87. What is the remainder when h is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6580?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 5556*y - 87872.\nAnswer: -4*(y - 1373)*(y - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbwwccnsnbbcwz. Give prob of picking 1 n and 1 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -215*y - 135. What is the tens digit of t(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/3 + 6*h. Let l(z) = -z. What is -b(y) + 5*l(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.2186?\nAnswer: -0.4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 3. Let z = 6 - y. Factor 0*a + a**4 - a**2 - a**z + a + 0*a.\nAnswer: a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*((l\/l**(-18))\/l*l)\/l*l*l)\/l**8 assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323.25 + -323.11. Let v = 0.1 - 1.1. Let g = v - -1. What is the closest to g in u, -2, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let m(h) = h**2 - 4*h + 2. Let n be m(4). Let w(y) = y + 3*y - 7*y + n*y. Give s(w(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 13. Let j(p) be the third derivative of p**6\/60 - p**5\/15 + 5*p**4\/24 - p**3\/2 + p**2. Is 10 a factor of j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49234*f + 49234*f - 3 + 1024*f**2.\nAnswer: 1024*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:51 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14429 is divided by 1808?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 22*i + 3*l = -8061, -5 = 5*l. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1063 and 2.\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309930\/99 <= 23332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 + 21 = 0. Suppose 510 = 5*i - 3*o, z + 19 = -5*o. Suppose 23*h + i = 26*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(12\/(-4)) + 1 + -5. Which is the nearest to 2\/7? (a) 4\/5 (b) -5\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 9*n**2 + 7*n - 10. Let b be h(-7). Let l be 0 - -3 - ((-7)\/1 - 16). Calculate the greatest common factor of l and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:13 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839708447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*x = 0, -5*v + 5*x - 4*x + 72 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83606 + 167225 - 83619 + 106*o.\nAnswer: 106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuccccicicuycyy. Give prob of picking 2 c and 1 i.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153) + sqrt(17))*1 + (sqrt(425) + 1 + sqrt(425) + sqrt(425))*4.\nAnswer: 4 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 3*k + 50 - 45 - 4*k.\nAnswer: -k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 - 185. Let m(q) be the second derivative of 0*q**3 + 0 + h*q**4 - 3*q - 1\/2*q**2 - 1\/20*q**5. Give m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 - 11*w**2 + 26*w**2 - 9*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(220)*1 - sqrt(220)))\/(sqrt(810) - -1*sqrt(810)))\/(-5*sqrt(12)\/(-2*sqrt(6))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 949500145 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1577 + 23*s - 18*s - 1577.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 0.1?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17015 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4991 and 3542?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 105. Let i(n) = n - 21. Let s(v) = -11*i(v) - 2*o(v). Suppose 31*j - 20*j + 110 = 0. What is the tens digit of s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -473.1 + 473. What is the fourth smallest value in p, 0.1, -2\/7, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/18763 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 20340410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 497549 < 497555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.03662?\nAnswer: 0.01831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25))\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)*(0 + 0). Suppose m = 2*w - 5 - 5. Suppose -w*p + 2*i + 236 = 0, -4*p = 5*i - 6*i - 187. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 22*d + 75. Let t be y(-3). What is the tens digit of 2\/(4\/690) + (t - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1687558, -3375106, -5062654, -6750202, -8437750?\n\"Answer: -1687548*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**3 + k**2 + 5*k - 1. Suppose -2 = -3*y - a - 18, -5*a = -5*y. Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 - (-65 + 4). Suppose 0 = -13*f + 5*f + 72. Calculate the highest common divisor of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -606, -615, -636, -675, -738?\n\"Answer: -m**3 - 2*m - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*a*q**2 + 371308*a*q - 23799713*q**2 wrt a?\nAnswer: -12*q**2 + 371308*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1.4. Let s = 988 + -988.03. Sort -5, z, s, 1\/4 in descending order.\nAnswer: z, 1\/4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 4.6. Let d be 1\/(1\/5*25\/(-10)). Which is the smallest value? (a) 3 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2141*d - 894*d = 87290 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6707 or 0?\nAnswer: 1\/6707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2206720 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/138 and -39\/10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c. Let q(o) = -3*o. Let r(t) = 2886*t + 3 - 3 - 2888*t. Let d(j) = j + 6. Let a be d(-3). Let x(p) = a*q(p) - 5*r(p). What is x(n(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/24686?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -712*u**3 - 5*u**2 + 4*u. Let k be f(1). Is (4 + k)\/((-6)\/(-6))*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112197 is divided by 264.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37964.5, -2\/15, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/15, 37964.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 329*u**2 - 327*u**2 + 660*u**2 - 3*u + 0*u**5 + 0*u**5 + 4*u**5 + (-2*u**5 + u**5 + 3*u**5)*(2 + 1 - 1) + 0*u**3 - 3*u**5 + 0*u**3.\nAnswer: 4*u**5 + 4*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**27)\/((r**(-17)\/r)\/r)*r**(3\/4)\/(r*r*((r**(-34)*r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 147 - 140. Calculate the remainder when 97 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**3 + 4*b**3 - 82*b + 4*b**3 + 81*b - 38*b**4 - 2*b**2 + 2*b**3 to the form y*b**4 + i + f*b + j*b**2 + s*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from ueui?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88544, 88844, 89344, 90044?\n\"Answer: 100*r**2 + 88444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 138677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4, -6*k + 758 = 3*x - k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/3*f**3 + 0 + 0*f**2 + 124*f. Give k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*l + 27, -3*t - 3*l - 36 = -6*t. Is -1 + -1 + t\/((-21)\/(-4665)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 7*w - w - 10*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002969 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**6\/3 - 139*l**4 - 733*l**3\/3 + 103. What is the third derivative of w(r) wrt r?\nAnswer: -120*r**2 - 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 1117 = 1159. Let t(o) = -o**2 - o - 1. Determine t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d**3 - 48*d**3 - 37*d**3 - 34*d**3.\nAnswer: -192*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -13*p**2 - 4*p + 9. Let k(m) = -7*m**2 - 85*m + 3 + 83*m + 2. What is -6*i(v) + 11*k(v)?\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 11}. What is prob of picking 2 k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2051 = 2*u + 5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*p - 72 = -253*p + 30*b, -4*b = 2*p - 6 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -3 - 6) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9846674 nanograms?\nAnswer: 0.0000009846674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - 3.6. Let g = -0.1 + f. Which is the biggest value? (a) 5 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(99\/6 - 2). Suppose -4*g + 522 - d = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -30, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17118)\/(-8) + 2\/8. Suppose -3*n - v = -5*n. Suppose 24*b - n = 14*b. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2125\/52 + -528\/13. Which is the second biggest value? (a) -4 (b) s (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Let w be (-6)\/(-3) + -3 + j. Suppose 2*u - 4 = -w*x, -5*x - 2*u - 17 = -6*u. What is the closest to 2\/5 in 1\/5, x, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j**(-8))**(-9\/7) assuming j is positive.\nAnswer: j**(522\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 28, 11, -26, -89?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 20*q**2 - 14*q - 15. Does 20 divide c(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -250*b**5\/11 + 2100*b**4\/11 - 5050*b**3\/11 + 4128*b**2\/11 - 640*b\/11 = 0.\nAnswer: 0, 1\/5, 8\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2 - 8\/(6 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 96, 312, 730, 1416, 2436, 3856?\n\"Answer: 11*q**3 + 2*q**2 - 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.62 + -0.22. Let r = -2769\/32 + 173\/2. Which is the closest to 1? (a) r (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6210 - -6330. Calculate the remainder when c is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 + 8.8. Let u = -45 - -41. Put -3\/7, u, t in increasing order.\nAnswer: u, -3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20665334 - -11?\nAnswer: -20665323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b19950 (base 12) in base 6?\nAnswer: 511250140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 89. Suppose 0 = -2*x + 4, 340 = -v + 5*v + w*x. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j\/j**(17\/2)*j*j)**21\/(j*j*j**(-8\/13)*j)**32 assuming j is positive.\nAnswer: j**(-3349\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -7*b**3\/3 - 8*b**2 + 2*b + 3082. Determine o(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/5467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*l - 7 + 7)*(0 + 0 - 2)*(-l - 1 + 1) as w*l + m + a*l**2 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -151?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448059006 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/30 - r**5\/5 - r**4\/3 - 12*r**2. Let o(y) = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -2.8. Let k be (3\/6)\/((-18)\/(-12)). Let t = 0 - -4. What is the smallest value in j, t, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*((l\/(l\/(l*l\/l**(-3))))\/l)\/l)\/l*l)*l)\/l**(1\/2)*(l*l**1*l)**21)\/((l**1\/l)**(2\/29)*(l**(2\/5)\/l)**(7\/2)) assuming l is positive.\nAnswer: l**(313\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/10 + -6\/5. Which is bigger: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 17*z**2 - 7*z - 6. Let g be m(-12). Let y = g - 745. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -12*z. Let r(c) be the second derivative of 2\/3*c**4 + c**2 + z + 8*c + 0*c**3. Find the first derivative of r(n) wrt n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033816223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -13. Let c be (-54)\/u + 7\/49. Let h be (c + -1)*5\/3. Solve -3*s - 9 = -2*f, 3*s - 6 = 5*s + h*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/2*o**2 + 0*o**3 + 0 + o + 0*o**5 + 2\/15*o**6 + 0*o**4. What is the derivative of i(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h + 19. What is u(-15)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1202 and -77\/864078.\nAnswer: 519310878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j. Suppose r = -r. Suppose -l + r*l + 12 = j. What is the lowest common multiple of l and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001110 - 1010?\nAnswer: 1011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 3179406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48652, 194599, 437844, 778387, 1216228, 1751367?\nAnswer: 2383804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*x - 11. Let z(p) = -3*p + 1. Let y be z(x). Which is the third smallest value? (a) -0.3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 48. Let w = o - 9. Suppose 0 = -w*h + 3*h + 104. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 3\/5, -3.11?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmthmmtmtmhtmmm. Give prob of picking 2 h, 1 t, and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*q = -24*q - 148 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -76383 divided by 8487?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*f + 37 - 12 = 0, f - 58 = 4*x. Is (6\/8)\/(x\/(-130740)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b**2 - 8*b - 4. Does 22 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1382 and 7\/(12\/(-3) + 3) - (-46)\/2.\nAnswer: 11056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 435. Sort 0.5, b, -12 in ascending order.\nAnswer: -12, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.117 times 0.2\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1408*k - 7 = 1409*k, -5 = -4*n + 3*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 40 = -8. Factor -104*b**2 + 14*b - 105*b**m + 210*b**2.\nAnswer: b*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine fifths of a meter?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001231311 (base 4) to base 15.\nAnswer: -54b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9368431549 + 9368431725.00000267. Let h = -176 + m. What is h rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-720) - 1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/20 - 11*j**2. Let u(o) = -6545*o**2 + 528*o. Let q(z) = -247*z**2 + 20*z. Let s(d) = -132*q(d) + 5*u(d). Give a(s(b)).\nAnswer: 43923*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2541 + 15987526.897.\nAnswer: 15984985.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14817517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4385 - 4?\nAnswer: 4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11711142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4062960 and 564300.\nAnswer: 20314800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*g + i, 2*i + 71 = g + 74 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 28*y**2 + 3*y - 20. Is 64 a factor of f(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 23. Suppose 3*r = -2*c + 4, -11 = -4*r - 2*c - 3. Suppose -h*i = -r*i + 12. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 90, 74, 58?\n\"Answer: -16*v + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*m, -5*n + 5 = 8*m - 7*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50085.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62306 - -107711. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.15+-0.09\nAnswer: 10.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - 15. Let p be k(-7). Let o = p - -142. Suppose -4*l = 16, 2*l + o = -0*j + j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-236 - 79 - 167)*(-4*z**2 + 4*z**2 + 2*z**4) as o*z + b*z**3 + a*z**2 + r*z**4 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 20, z = -2*m + 4623 - 586. Is m a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 2*d - 1023. Let o(t) = 4*t**2. Determine r(o(l)).\nAnswer: 32*l**4 - 8*l**2 - 1023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 - -5. Let f = 12.3 + -12. Sort s, f, -2\/7 in decreasing order.\nAnswer: f, s, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.162 - 1.138. Let i(m) = -m**3 + 9*m**2 + 9*m + 8. Let w be i(10). Put y, -1\/9, w, 0.5 in decreasing order.\nAnswer: 0.5, -1\/9, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -30 - 10) + -1 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -183*b**2 + 7*b + 8. Let r(t) = -t - 1. Let v(d) = -q(d) - r(d). Is v(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22605 divided by -126?\nAnswer: 7535\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 592 or 591?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:27 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -20. Suppose -b*q + 3*q = -320. Suppose -k - 18 = -q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 - 363 = -63*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 47*s - 32. Is 11 a factor of u(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 2382383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from tuutttt.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54105241 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/4 - 3*g**2\/2 + 4*g. Let q be b(3). Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-636 - -650) + 0 + 48 + -20?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -370500?\nAnswer: -3704a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -324, -329, -332, -333, -332, -329?\n\"Answer: a**2 - 8*a - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162*c + 905 + 861 = -396 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0089 - -0.2089. Suppose -3*h - 54 = -6*h. Suppose -4*f - h + 6 = 0. Which is the second smallest value? (a) -0.1 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1317*-21.57\nAnswer: 28407.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 61*l**6\/24 + l**5\/30 - l**4\/24 - l**3\/6 - 169*l**2. Let p be h(1). What is the greatest common factor of p and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480926 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 797716 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*c + 4 = 0, -5*u - 11 = 2*c - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-594)\/(-198)*(-39)\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let l(u) = 736*u**2 + 64. Let z(f) = 35*f**2 + 3. Let s(w) = 3*l(w) - 64*z(w). Calculate d(s(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126*-2858.1.\nAnswer: 360120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67965403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4 + (3 - 6\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/(2 + 1). Let k = 0.7 + -6.7. Let r = k + 1. Sort x, 2\/3, r in decreasing order.\nAnswer: 2\/3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 28 - 5. Calculate the highest common divisor of z and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -84*s**5\/5 + 88*s**4\/5 + 6464*s**3\/5 + 5432*s**2 + 31956*s\/5 - 1584\/5 = 0.\nAnswer: -4, -3, 1\/21, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -176 (b) -18 (c) 41362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/693*9)\/(16\/16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -50\/73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*m**2 + 6*m**3 - 166*m**2 + 268*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -133. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 + 4 + 1*(sqrt(75) - -1*sqrt(75)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*p + p**3 + 25*p**2 - 10*p - 10*p**2 + 21*p - 13*p**2 - 83*p**4 wrt p.\nAnswer: -1992*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (sqrt(130)*-1 + sqrt(130) - sqrt(130)))*5)\/((2*sqrt(110))\/sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 - 17 = 3*n, 0 = -n - 4*v - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3, -1 in descending order.\nAnswer: 26, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1553\/(-5) + (-6)\/(-75)*-5. Let s = 3078 + m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9116849?\nAnswer: 7, 547, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(7\/3). What is the third biggest value in 0.4, -3\/4, -3, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let t = -0.84 + 1. Let x = -0.06 + t. Sort x, r, -2\/11 in descending order.\nAnswer: r, x, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2842 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36334155 (base 7) in base 15?\nAnswer: 43da73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30959*j - 72 = -30968*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/2 - (-1)\/((-6)\/9). Let k be (78\/(-9))\/(12\/(-18)) - p. What is the highest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = m + 101 - 4494, -m = -5*x - 4417. What are the prime factors of m?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -83. Is (3 + -2)*1*(n + 48) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooz when three letters picked without replacement from ooz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27228*i**2 - 27250*i**2 + 4 + 5 + (i + 3*i - 2*i)*(-i + 4*i - i).\nAnswer: -18*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352921851?\nAnswer: 7, 109, 1439, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2\/9)))\/((n*n**(-2\/11)*n)\/n))\/(n**(-6)\/n**1) assuming n is positive.\nAnswer: n**(634\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k + 41*k - 38*k.\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 5\/(-55)*-143.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103797564 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52248*o**4 + 120742*o?\nAnswer: -626976*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 145173, -151, -12 in decreasing order.\nAnswer: 145173, -12, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117.35 - -116. Let n = 0.65 - v. Which is the nearest to -2? (a) n (b) -1\/5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384240 divided by -4?\nAnswer: 96060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(-s - 4 + 4)*(3*s + 0*s - s)*(29354 - 29354 + 347*s) to m + d*s**3 + v*s**2 + h*s and give d.\nAnswer: -2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 5) to base 7.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5844646401 - 0.\nAnswer: 5844646401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2908 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 886798.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**2 - 3*s - 4. Let j be n(-2). Let o = -34 + j. Solve -5*w - 23 - 2 = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24012496 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 49. Let s = -4 - -16. Calculate the remainder when s is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c - 4. What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 900 = 5*q, -63 - 297 = 2*q - 4*x. Is 30 a factor of (q\/(-16))\/15*1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6 - 188\/(-282).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2113 and 239.\nAnswer: 505007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 9.96. Let o = 0.04 + l. Let x = 2.2 - o. Sort 3\/5, x, 0.1 in ascending order.\nAnswer: 0.1, x, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -624617 (c) -0.02 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, 3, -21384?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - 2*k + 1. Let y be a(3). Solve -r - 2*r - 5*j - y = 0, -j = -r + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, l: 3}. What is prob of picking 4 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 72583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a779 (base 13) to base 14\nAnswer: -868d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16302 divided by -78.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4551, 18152, 40821, 72558, 113363?\nAnswer: 163236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - 3.1. Let o = 13 + -13.5. Let h = -3 + 4. What is the closest to h in -3\/7, d, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 + 3*f**2 - 6*f**2)*(4 + 2 - 4) + 3*f**2 + 11*f - 11*f + 127*f**2 + 324 - 324 to y*f**2 + t*f + w and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 6*v + 22. Let j(l) = -3*l**2 - 6*l - 22. Let h(s) = 5*j(s) + 4*r(s). Let n be h(9). Solve -i + 6*i - n = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**2\/5 - 129872*s\/5 + 389562\/5 = 0.\nAnswer: 3, 64927\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {j: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {t: 2, j: 2, d: 6, g: 1, w: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 20*m + 7. Solve 0 = x - m + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1823074*a**3 - 8*a*x**2 - 4*x**2 + x + 1199904 wrt a.\nAnswer: 5469222*a**2 - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose -26 = -14*b + d. What is the first derivative of 38*s**2 - 2 - 18*s**2 + 5*s**3 - 20*s**b wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) -1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-71594*-21*(-2)\/30)\/(4\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/7 - (-4)\/(-14). Let t = j - -9. Find the second derivative of -3*f**4 - 2*f + f + f**t wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 2*i. What is d(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-577*n**2 + 14 + 552*n**2 - 19 - n**3).\nAnswer: n**3 + 25*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -949\nAnswer: -94.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 - 150. Let x = 674 + -638. Calculate the remainder when r is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 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: Express -2803*v - 438*v + 38*v - 1162*v in the form b*v + h and give b.\nAnswer: -4365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/160 - (105551\/7156 - (0 + 14))?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-85762)\/(-685712) - (-3)\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366479.2115 less than -0.1895?\nAnswer: 366479.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117330744?\nAnswer: 2, 3, 1481, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 260*p + 12427. What is r(194)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*p - p - 87, -2*o - 5*p = -45. 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: Is 76294199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9122.3226+-0.4\nAnswer: -9122.7226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 - 187. What is the highest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*s = 7*s + 37, w - s - 22 = 0. Solve 0 = -3*v - 2 - 1, 0 = 5*q + 2*v + w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1181 + 482 + 1 = -191*d - 628 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**3. Let h be d(-1). Let p(v) = v - 11. Let b be p(h). Sort b, 10, -3 in decreasing order.\nAnswer: 10, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98a (base 11) to base 15.\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(1*sqrt(84)\/sqrt(7)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512873.6t to kilograms.\nAnswer: 512873600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*j + 4*y, 2*y + 112 = -5*j + 24. Let a be 1 - (0 + 1 + j\/4). Solve 3*c - 12 = 4*q, 2*c + a*q = 3*c - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1098 and 49\/18422?\nAnswer: 165798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*s**3 + 3317*s**2 - 3317*s**2)*(-5 + 0 + 4)*(s - s - s - 1 + 1 - s + 0*s + s - 3*s + 0*s - 3*s - s + (-3 + 3 - 1)*(5*s + s - 5*s)).\nAnswer: 585*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/76348 and -69\/16.\nAnswer: 305392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 286*x + 33. Let m(s) = -44*s - 5. Let b(u) = 33*m(u) + 5*t(u). Let d(n) be the third derivative of n**5\/30 + 74*n**2. What is b(d(y))?\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1530*t**3 - 130*t**2 + 65*t + 65. Let p(a) = -139*a**3 - 12*a**2 + 6*a + 6. Determine -65*p(o) + 6*w(o).\nAnswer: -145*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from dmmtutmmtumlttllddd?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1)*p)**(-27))**(3\/7))**(-42) assuming p is positive.\nAnswer: p**1458","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697878?\nAnswer: 2, 3, 137, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214.7106462 - -173.710652. Let n = w + 41. Round n to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4256 - 13256 = -18*y. What is the greatest common factor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + -2.4. Suppose -4*w - 52 = -32. Let x be (1\/(-1))\/(w\/10). Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4330, -5072, -5814, -6556?\n\"Answer: -742*k - 3588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*q - 674, -7*q = 2*y - 8*q - 674. Solve 332*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13782?\nAnswer: 2, 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.191 + 0.0513. Round d to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - 1)\/((-14)\/7 + 1). Suppose -x*j + 32 = -17*j. Suppose 228 = 4*a + j*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*z - 7 = 23, 3*k - 22 = 5*z. Let j = 9 - 8.2. Let q = -1 + j. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*b - 90378 - 648*b + 180762 - 90386.\nAnswer: -737*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338 + 593. Let y = g + -99. What is the remainder when y is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -3\/7, -2, -7\/24, 204, 5\/2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:06 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -488 divided by -104\nAnswer: 61\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from ppyjypyjpa.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.98 + 2.203. Let w = -0.113 + q. Round w to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.53344484 to one decimal place.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38685.4 + -38686. Which is the closest to -6? (a) p (b) 2\/19 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 101 = -8*m. What is the second biggest value in -2\/7, 18, -1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*120.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31032 (base 4) to base 9\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let l(j) = 48*j - 34. Let z(m) = -l(m) + 3*t(m). Let y be z(-20). Let w = y - 553. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 3*n**5 - 3*n**5 + (-3*n**2 + 3*n**2 - 3*n**4)*(-6*n + 4*n + 6*n) + (-3 + n**2 + 3)*(-3*n**3 - 4*n**3 - 3*n**3).\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxp when four letters picked without replacement from xxpxaxexpxa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, -13\/4, 2\/5, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12223472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6 = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 2*u + 1. Let j(x) = -21*x**2 + 6*x**2 - 2*x**2 + x + 4*x**2 + 12*x**2. Determine -4*j(a) + n(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 212463435*c - 212463430.\nAnswer: -5*(c + 1)*(c + 42492686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -7*j + 8*t, 3500*t + 10 = j + 3497*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 15\/9. Let y(f) = -2*f**3 - 2*f - 3. Let k(v) = -v**3 - v - 1. Determine z*y(r) - 4*k(r).\nAnswer: 2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + m = 2*m + 13, -9 = -3*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 0 + -1 + (561 - (262 + 298))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58798 plus 3109028?\nAnswer: 3167826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 7*d**2 + d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18014543137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358085109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1156725 - 0.15\nAnswer: 1156724.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 112 = -15*a. Calculate the greatest common divisor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 4*q - 5. Let s(m) = -3*m**2 - 4*m + 6. What is 7*k(t) + 6*s(t)?\nAnswer: 3*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 3*z - 4. Let w = -27 - -23. Let h(m) = -8*m**2 + 9*m + 11. Calculate w*h(f) - 11*u(f).\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 136, 196, 252, 304, 352?\n\"Answer: -2*p**2 + 70*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c + 71. Calculate i(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2. Let b(d) = -21*d**2 - 2339*d. Determine b(g(l)).\nAnswer: -336*l**4 + 9356*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 22.91?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1350, 2729, 4130, 5565, 7046, 8585?\n\"Answer: 2*r**3 - r**2 + 1368*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0773 times 3?\nAnswer: -0.2319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 653 + -654 + (8 - 5 - -31)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:18 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39793, -79571, -119327, -159061, -198773, -238463?\n\"Answer: 11*l**2 - 39811*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4 + 2. Let n be (-3)\/((-1)\/(v\/3)). Is 15 a factor of (-1)\/(-2) - (-29)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 4. Let o(l) = -3 - 6 + 2*l + 5. Let d(v) = -v + 3. Determine y*d(x) - 3*o(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1121483 or 1121587?\nAnswer: 1121483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134115127 - -645.\nAnswer: 134115772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g. Let j = 18 + -14. Suppose -j = -m + p, -2*m - p + 5 + 0 = 0. Let t(d) = d**2 + 3 + m - 6. Calculate t(z(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54c + 7?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -47*r + 99*r - 45*r + 6 + 2*r**2. Let j be m(-4). Solve 0 = -0*l - 5*l - j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(77)*3)\/(2*(sqrt(63) - sqrt(7))).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.72 (c) 2\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1387 + -1386. Which is the nearest to x? (a) 14 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/(-12) + (-2375)\/(-380)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545931741 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029764 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 369 = -4*v + 255, 0 = 3*v - b - 480. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5)*(-7*f - 6*f + f) + (-2 - 3 + 3)*(4*f - f - 2*f) to the form a + v*f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 72\/11 (b) 1 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16433972 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/9 and 47\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -747 + -29?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133060 divided by -10.\nAnswer: -13306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a + 1. Let o be q(1). Suppose -2*j = -5*u - o, u + j = 2*u. Let f = u + 3. Put -5, f, 1 in decreasing order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.626 + -0.6918. Let o = -22.6458 - k. Let c = o + 22. What is c rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9863*v**2. Let d(y) = -2*y + 1. Determine d(g(q)).\nAnswer: 19726*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56cd + 2?\nAnswer: -56cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 244 - 292 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8\/7 (b) -1\/7 (c) 2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*128*(-114)\/(-152000)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*g + 39060 = -970*g + 593*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 565883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(-2\/27))\/r*(r\/(r*r*r**(-11)*r))\/r)\/(r\/(r*r**(-6)\/r))**(8\/5) assuming r is positive.\nAnswer: r**(-287\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*m + 3024 = 416*m - 747*m for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 1. Let w(l) = -3*l**2 - 12*l - 2. What is -2*r(v) + w(v)?\nAnswer: -v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*q = -6*y + 16, -3*q = 5*y - 34. Calculate the remainder when 18 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6740873466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 less than or equal to 4939\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let q(h) = k*h + h**3 - 3 + 2 + 4*h**2 + 4. What is q(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - 430\/15. Let h be (l + 3)\/(-5 - -4). Solve c - 5*w + 40 = 15, -2*c - 5*w + h = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*b**3 - 296*b**3 - 201*b**2 + 152*b**3)*(-1 + 1 - 2*b)*((4 - 1 - 1)*(-4 + 4 + 2*b) + 2 - 2 - b - 3 - 2*b + 3).\nAnswer: 2*b**5 + 402*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24777 = -3*b, -14*b - 16542 = -2*d - 10*b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 k, and 1 p when four letters picked without replacement from qkqpqqkrq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 1.8. Let l = q - 1.2. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29270521?\nAnswer: 7, 4181503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s**2 + 19*s**2 - s**3 - 14*s**4 + 17*s**4 + 2 + 9*s**4 - s as u*s**2 + p + f*s + g*s**4 + m*s**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9330)\/(-75) - (1\/(-6) + 170\/300). Is w greater than or equal to 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from uwjjwwzuzwgjww.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6960*w + 69993. Determine t(10).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1, 11*t - 13*t + 337 = -a. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 h when three letters picked without replacement from {h: 1, w: 6, i: 4, o: 2, j: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.3. Let p(z) = -2*z**2 + 33*z + 12. Let x be p(17). What is the closest to r in -2\/5, 5, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttqqq. What is prob of sequence ttqt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 = -2*k + n, 5*k = -0*n + 4*n + 1184. Suppose 5*l + k = 221. Which is the biggest value? (a) 5 (b) -0.16 (c) l (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/40 + u**4\/24 - u**3\/6 + u. Determine b, given that k(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.427 and -665.74.\nAnswer: 284.27098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0498435 from 0.5.\nAnswer: 0.5498435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 g when three letters picked without replacement from sgvjsvjsjvgvbvssv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 254, -2947, -22 in ascending order.\nAnswer: -2947, -22, -5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/32)\/((-230)\/240*-9)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let o(s) = -s**3 - s**2 + 12. Let j be o(0). Let m(c) = 11*c**2 - 14*c**2 + j*c**2. Determine m(i(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.54, 0.2, 1\/7?\nAnswer: -5.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 2*d**3\/3 - 2*d**2 + 4*d + 5. What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - (69 + -23 + -11 + -4).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -48 (b) 0.5 (c) -20 (d) 4 (e) 132 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 3*g + 1. Let l be a(-4). Let h = l - -5. Suppose -2 = -4*o + 2. What is the remainder when h is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - -0.1. Let k = v - -0.3. Suppose 5*i + 5*q = 5, -2*i = 3*q - 4*q - 2. Which is the closest to i? (a) 2 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Suppose -4*p + 330 = -n, 3*n + 82 = p + x. Is 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 3021.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -68 - 68 - 63 - 18*g + 266 - 174*g**2 - 63. Let x(o) = o**2 - 2*o. Let t(w) = -c(w) + 3*x(w). What is the second derivative of t(m) wrt m?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1423 - -1545. What is the remainder when 248 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 10*u**2 + 8*u + 17. Let a be o(-12). Let b = 11768 + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 28 = -10*k + 7*k, 3*k = 4*a - 17. Let y be 2\/(-4) - 10\/(-4). Solve -l + y - a = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 19. Suppose -3*n + 21 = -i. Solve 0 = -4*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5002 (base 12) to base 10.\nAnswer: 8642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*c + 56*c + 256*c + 165963 = -2670*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 3127*y**3 - 7*y**2 + 3155*y**3 + 3*y**2.\nAnswer: 28*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(275))*4 + 0 + sqrt(275) + -1 + sqrt(275) + -1 + 5 + 3)**2.\nAnswer: -120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.17 and 0.7.\nAnswer: 5.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(-8 + (-507)\/(-65)). Solve -d - 5*b = -6, 6*d - 4*d + g*b = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 12*j - 23. Calculate r(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - u**2 - 3*u + 1. Let b(c) = 4*c**2 - 11*c + 1. Let j(s) = -5*s**2 + 13*s - 1. Let t(m) = 6*b(m) + 5*j(m). Give -q(i) + t(i).\nAnswer: -4*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 673, 278, -997, -3446, -7363?\nAnswer: -13042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1150, 1148, 1146, 1144, 1142?\n\"Answer: -2*t + 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-40)*776\/291.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (1*(sqrt(363) + sqrt(363) + sqrt(363) + 1 + sqrt(363)) - sqrt(363)) + 1 + 2))**2.\nAnswer: 21384*sqrt(3) + 120528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(j + j + j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25935 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547737 divided by 182579.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -341716 divided by -2?\nAnswer: 170858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnmt when four letters picked without replacement from {h: 5, z: 3, m: 1, t: 1, o: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 417223 and -2?\nAnswer: -834446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -6, -5*q - 5*f + 137 = 162 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:53 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-620)\/15)*(480\/(-45) - -12)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 + 169*p + 20. Let m be n(-21). Let f(o) = o**3 - o + 1. Let s(u) = -2*u**3 + 9*u - 3. Calculate m*s(i) - 3*f(i).\nAnswer: -i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))**(2\/19)*(f\/(f**(1\/2)\/f))**(-1\/3))\/((f**5*f*f)\/((((f*f**5)\/f)\/f)\/f)*f*f**1*f**(-6)\/f) assuming f is positive.\nAnswer: f**(27\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2316, 11, -2\/23, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, m: 2, r: 1, i: 1}. Give prob of sequence smri.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15165*c**3 - 217557080*c**2 + 780268359825*c + 514519290 = 0.\nAnswer: -2\/3033, 7173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - r - 17, 3*n - r - 17 = 0. Let i(t) = -5*t + 3. Let x(m) = 18 + 5*m - 3 - 19. Give n*i(a) + 3*x(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -6, 0*p - 3*p + 15 = 3*i. Let m = 2340 - 2324. Solve -m*d + 18*d = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 682*o**2. Let g(z) = -3*z**2 - 5. Determine v(g(c)).\nAnswer: 6138*c**4 + 20460*c**2 + 17050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6571, -4, -12, -3, 0, 20, 4 in increasing order.\nAnswer: -6571, -12, -4, -3, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuquuzggzzuqx. What is prob of sequence xz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1. Let f(i) = 4*i**2 - 3. What is -4*f(z) - 12*t(z)?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4911)\/(-65480))\/(6\/8*(-2)\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 0)*(-4)\/(-3). Suppose -4*d = -5*w - 3, -j*d = d + 3*w + 24. Let x be 6\/39 - 37\/(-13). Put -4, x, d in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 + 38*w - 12. What is the remainder when g(-7) is divided by 148?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -520 + 788. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3119930 by -565.\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039046 rounded to five decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*2)**2 + sqrt(55)\/sqrt(176) + ((sqrt(5) + 1)*-1*-6)**2 - (sqrt(2500)*3)\/((sqrt(180)*-1 - sqrt(180)) + sqrt(180) - sqrt(180)).\nAnswer: 299*sqrt(5)\/4 + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79143 - 61073 = 3480*v + 69909 + 89155 for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*x + 19*x + 13*x as q*x + y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = 3*f - 10, 4*f = -20. Suppose 0 = o*c - 324 - 446. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265*r + 1012*r - 397*r = -9400 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 10122401?\nAnswer: 10122400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15 + (-6 - -4 - (2 + -5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195597323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-68)*6\/(-14)*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 - 2*j**2 + 3*j - 1. Let h(o) = -o**2 + o**3 + 1538 - 769 + o - 770. What is d(l) - 3*h(l)?\nAnswer: l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 6*c - c**2 + 74811 + 52997.\nAnswer: -c**2 + c + 127808","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 261606 + 7*j**2 - 2*j**2 - 261606. Let g(b) = 2*b**2 + b**2 + 33*b**2. What is q(g(m))?\nAnswer: 6480*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h = -10. Let t = -5 + h. Let v be (4\/(-1))\/(t\/126). Calculate the highest common factor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*b + 185 = 196 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 54. Is 11 a factor of ((-330)\/9)\/(1*(-4)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -1592 + 1902 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101264063?\nAnswer: 8597, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 2041162769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 776489 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 53*a - 1804. What is c(21)?\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 4. Let d(k) = -4*k + 15. Suppose -2*t = -3*i + 41, 4*t - 2*i = -0*t - 86. Calculate t*f(m) - 6*d(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6*y - 2970 = 0. Let g(w) = y - 292 + 2*w - 8*w. Let v(d) = -5*d + 5. What is 3*g(c) - 4*v(c)?\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.612736 and 683.62.\nAnswer: 681.007264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*y - 230 = 272*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 2016, 4757, 8728, 14007, 20672, 28801?\nAnswer: 38472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + c)*(8 + 1 - 1)*(5*c + 2*c - 4*c).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5996 - 14130412.\nAnswer: -14136408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17591921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-2601))\/(3070\/41752).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.1, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 20. Is h greater than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:40 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l = -5. Suppose 4*q - l = -k, -2*q - 3*q - 88 = -4*k. Which is smaller: 15 or k?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 36*x + 155. Give r(-21).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -67*j - 72. Give x(18).\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**8\/210 - p**7\/70 + p**5\/30 - 14*p**3\/3 + 11. Let m(t) be the third derivative of b(t). Suppose m(n) = 0. What is n?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + j - 1)*(-3 + 1 + 4) + (-2 + 3 + 1)*(j + j + 0*j) - 2*j - 2 + 2 as i + x*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*g + 68*g + 420. Let x(p) = p - 21. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, 5, -2, 0.174?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(66)*-4)\/(sqrt(24)\/sqrt(324) - sqrt(6))*5.\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 39*y + 130. Give f(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 - (-29 - -19) - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2190.61 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/7)\/((-1)\/7). List the prime factors of (z - 0)*(-19)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/2)\/(-2*2))\/((-297)\/5940).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(1890\/447) - (-6 - (-99)\/21)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-85)\/(-170) + 9651\/6 and 10.\nAnswer: 16090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 17. Let a be q(-2). Factor 2\/11*w**4 + 18\/11*w**2 + 4\/11 + 10\/11*w**a + 14\/11*w.\nAnswer: 2*(w + 1)**3*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 144?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - ((-1 - -3) + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372343002.\nAnswer: 2, 3, 197, 315011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = -4*i - 12, i - 4*n - 19 = 0. Let o(y) be the second derivative of -y**4\/12 + y**3\/3 - 3*y**2\/2 - y. What is o(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**3 - 3*i**2 - 6*i + 8. Let y be p(5). Let c = 1359 + y. What is c rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 equal to 903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 10*i + 2. Let b be l(-10). Calculate the highest common factor of b and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162.7 + 163. What is the closest to 1\/6 in i, -2\/5, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39518.619 days in weeks?\nAnswer: 5645.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2410720\/910)\/122 - 12*(-4)\/21.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpvjj. What is prob of picking 1 v and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 133*g**2 + 6 + 0 + 133*g**2 - 398*g**2 + 127*g**2 - 45*g. Calculate k(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/519 or 0?\nAnswer: -20\/519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, n: 7, i: 1, a: 1}. What is prob of sequence ia?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 q when four letters picked without replacement from qqqwqwwqqwqqqwqqqqw?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -318 + 568. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s + 2. Let w be 2\/9 - 4\/18. Let p be b(w). Suppose -1 = j - p. Solve y - 5 = 3*c, -j + 0 = y - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*f**2 - 76*f**2 + 81*f**2 to the form b + c*f + n*f**2 and give n.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4633 + -4633.52. Do i and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*i + 33, 14 + 15 = 5*m - i. Let t(y) = -4*y + 9 - 1 - 5 + 2*y**2 + y**3 - 6*y**2. Determine t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -0.4 (c) 0 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -13*c + 40. Let s be 6\/(((-252)\/c)\/(-7)). What is the second biggest value in -0.1, -7, s, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - 105?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, a: 2}. Give prob of picking 2 t and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 17. Let r be t(18). Let n be (3 + -4 - -2) + r. Let x(j) = j**2 - 7*j. Let y be x(8). Solve n = 2*b + y - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/5 in 0.603, 60\/19, 5?\nAnswer: 0.603","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:18 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 4712?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 19. Calculate the remainder when 15 is divided by ((-2)\/(-1) - 0) + p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3306*x - 3286*x = -31 - 9. Let h(t) = 1445*t**2 - 153*t - 153. Let g(w) = -19*w**2 + 2*w + 2. Calculate x*h(f) - 153*g(f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6, 8 = 2*m - 3*u - 2. Let s be (11\/(-4) + 6\/m)*-15. Let w = 33 - s. Solve 2*j = -i + 11, -4*j + 3*j = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 7312*x**2 + 7308*x.\nAnswer: 4*x*(x + 1)*(x + 1827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 4 - (0 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*r + 4*x = 210*r - 25, -32 = -5*r - 3*x. Let t(c) = -5*c - 9. Determine t(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 5*m - 3*m)*(-342 + 6*m + 342) + 5*m**2 - 2*m**2 - 5*m**2 in the form t*m + h + w*m**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4*q - 12)*(2 - 2 + 2*q**2) + q**2 - q**2 - 2*q**3 - 70*q**3 + 134*q**3 + 13*q**2 - 66*q**3.\nAnswer: 4*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 450.1099 decades?\nAnswer: 4501.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2222265.9 and -1283.\nAnswer: -2223548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -151, -307, -463, -619, -775, -931?\n\"Answer: -156*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956461?\nAnswer: 11, 86951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 710. Let c = -17 - -25. Calculate the smallest common multiple of v\/c - (-1)\/4 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -107?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 3*l**5 - l**5 + 0*l**5 + 2*l**5 - 3*l**5 + (2*l + l**2 - 2*l)*(0*l**3 + 2*l**3 + 0*l**3) - 15*l**5 + 150*l**3 - 150*l**3.\nAnswer: -13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 673 = -6*o + 607 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 63 = 9*y. Let d(r) = -r**2 - 20*r + 4. Let f be d(y). Let z be (-4)\/6 - 28\/(-6). Solve -2*k - f = 2*w - 0*w, -2*w - z = 5*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39683?\nAnswer: 7, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*1 - -52 - 2 is divided by (44\/(-16) - 1)\/(3\/(-20)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2371*k - 3391*k + 156*k - 270763 - 188929 = 0 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(336)\/sqrt(3))**2 + -1)*4.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*q + 324*q = 822 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/320 and 57\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28238, -28267, -28302, -28349, -28414, -28503?\n\"Answer: -o**3 + 3*o**2 - 31*o - 28209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 6*v - 2. Let c(j) = -j**2 - j + 1. Let q(x) = 3*c(x) - m(x). Calculate the remainder when q(8) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -40*z**2 - 2 + 8 + 0 + 42*z**2. Let h(q) = 14*q**2. Give o(h(f)).\nAnswer: 392*f**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/4))**(-2\/15)*(n**(-23)*n)\/(n**(-2\/15)\/n*n) assuming n is positive.\nAnswer: n**(-649\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1024090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (3 - 0))\/1. What is the derivative of 4 + c + 4*d - 7 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.68 - -3.78. Let n = p + -3. Which is the nearest to -2\/7? (a) 0.2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 33 + 33 - c**2 + 2 - 2 + (5*c - c - 2*c)*(1 + 2*c - 1) + 3*c - 3*c - 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20824893497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87755 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.698 - 4.698. What is the third biggest value in -5, -2\/17, 2\/9, g, 790?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2458.8 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 - 72*c - 37. Determine x(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = -3. Let a be -3 + 7 + (-1 - s). Suppose -3 = -7*m + a*m. What is the smallest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 7:50 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 + v**2 + (2*v + 0*v - 4*v)*(1 - 1 + v) + 4*v**2 - 4*v**2 + v**2 - 2*v**2 - 3*v + 0*v**2 - 9*v.\nAnswer: -4*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*i. Solve s = i - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811991 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 1 = -x + 30, -4*g - 2 = 5*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - m = 2, 5*v = 4*m - 0 + 11. Suppose v*l + 9 = 2*r, 2*r - l = -0*l + 11. Calculate the least common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/42*-21*(-2)\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3757 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.7379752 microseconds?\nAnswer: 0.00000004563292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 3*g - 6. Let s(o) = 10*o**2 + 25*o + 50. Let u(z) = -3*s(z) - 25*v(z). Let h(l) = -2*l - 4*l + 4*l. Determine u(h(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let s be (9 + -2)*(-2)\/(-14). Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129556 + -1295451\/10. What is the common denominator of ((-2)\/(-6))\/(4 + -2) and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = d - 36, 4*d = -3*q + 157. Differentiate 58*n**3 + d - 127*n**3 + 67*n**3 - 11*n**4 wrt n.\nAnswer: -44*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 43442 (b) -0.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*o - 1. Let p be (o - 6)*(1 - 0). Let l(j) = -j - 4. List the prime factors of l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 - (-63 + 38 - -218)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:45 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5\/2*w**4 + 268 + 11*w**3 + 16*w - 20*w**2 + 1\/5*w**5. Let c(z) = 0. What is z?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*y + 32*y - 3. Suppose 5*u - j - 73 = -0*j, 30 = y*u + 4*j. Suppose -2*s + 46 = -u. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-281396)\/(-72) - 1\/3. Let d = 23047\/6 - z. Let n = 67 + d. Is -23 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)*r)**28 assuming r is positive.\nAnswer: r**(364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5177 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 11*x**2)*(19*x**2 - 9*x**2 - 2*x**2).\nAnswer: 88*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20803578 a multiple of 2057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 275424245 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: Solve 3*t - t - 7 - 1 = -t + 4*d, 94*t + 2*d = 98*t + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 20. Let m(j) = -14*j + 84. Let k be m(5). Suppose 0 = 3*y + 4*y - k. Solve h - 9 = 4*o, -y*o + g*h + 4 = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (169\/(-26))\/((-2)\/(-4)). Put f, 0.04, 3, 0 in descending order.\nAnswer: 3, 0.04, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqaa when four letters picked without replacement from {q: 10, a: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) - 354\/(-14). Suppose -5*h - t = 0, 0 = 4*r - 2*h + 8 - 34. Suppose -5*d + 165 = r*l, -l + d - 222 = -6*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140221578.\nAnswer: 2, 3, 7, 3338609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134995178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22987 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + 3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 2*t + 256 = 0. Let x be (-12)\/t - (-2 - 0). Let -x*w**2 - 1\/4*w**4 + w**3 + 0 + 1\/2*w = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -4. Suppose q*f = f + 145. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*o + 114*o - 396*o)*(-4 - 1 + 4).\nAnswer: 410*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3000)*2 - sqrt(3000) - (sqrt(30) - sqrt(90)\/sqrt(3))*-3)\/(sqrt(72)\/(sqrt(48)\/sqrt(4)) + sqrt(36)\/(sqrt(30)\/sqrt(5))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2573*u - 7050. What are the prime factors of g(-5)?\nAnswer: 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/127, -25\/52 in ascending order.\nAnswer: -25\/52, 2\/127, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24556 (base 7) in base 2?\nAnswer: -1100100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/3 + 1250*b**3\/3 - 13556*b**2\/3 + 9800*b + 14736 = 0. What is b?\nAnswer: -1, 6, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-60)*(-86735)\/2158 + (-7 - -3)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Let j = d + -5.06. Let i = -0.04 + j. Which is the second smallest value? (a) 3\/4 (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/7 + 3700*l**4\/7 - 11078*l**3\/7 - 6868*l**2 + 55455*l\/7 = 0.\nAnswer: -3, 0, 1, 5, 3697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -633*h**2\/2 + 43670034*h + 413934 = 0?\nAnswer: -2\/211, 137978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*93\/1. Let t = 31 + q. Solve 2*d - d - 5*l - 18 = t, -3*d - 18 = 3*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50303 divided by 4573.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -4, 2678 in descending order.\nAnswer: 2678, 15, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n. Let l(b) be the second derivative of -b**4\/6 + 55*b. What is l(d(y))?\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 14) to base 9\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 712894812 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 12 - -21 - (6 + -14).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:16 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13945 - 162969 = -d, d - 49678 = -t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84835086 divided by 161.\nAnswer: 526926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + (-60770503161)\/(-30132). Let l = h - 2016810. Let s = l - -20\/27. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:49 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 87463?\nAnswer: 87453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 557783?\nAnswer: -18\/557783","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-21))\/((561\/(-14))\/17).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235\/70 + (-1)\/(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119 and 153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(3 - 3) + -108. Let p = t - -68. Let z = p - -77. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + i - 2*i + 27, 0 = -4*i - 4. Suppose 253 = m*l - 363. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 28405.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:48 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58d10 (base 14) to base 13.\nAnswer: 77781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -2*(1*sqrt(1377) + -1 - (3 + 1 + sqrt(1377))) + -1)**2.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 24)*(-3)\/(-3). Suppose 14 = 4*n + 3*z - d, 5*n - 51 = z. Let j = -8669 - -8703. Solve j = 4*v + 4*x + n, -2*v = -2*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 0*r)*(2 - 3*r - 2)*(-16 + 9 + 11) + (5 - 2 - 2)*(2*r**2 - 2*r**2 + r**2) in the form p*r**2 + w + c*r and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7157.735 millimeters to kilometers.\nAnswer: 0.007157735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 181*v**2 - 121*v + 2725. What is a(90)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven fifths of a milligram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x - 1 - 1 + 11*x. Let a(k) = 3*k - 2. Let n(p) = -4*a(p) + 5*i(p). Calculate n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, s: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*((k**(-4)*k)\/k)\/k)*k*k)\/(k\/(k*((k*k**(-3\/4))\/k*k)\/k)) assuming k is positive.\nAnswer: k**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72719*m = -72824*m + 145482*m + 2257 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 9*q + 8. Let l be a(5). Let z be (-4)\/l - 10\/(-6). Put 0, z, -3 in descending order.\nAnswer: z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -963, -3896, -8785, -15630, -24431?\n\"Answer: -978*j**2 + j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:51 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321*-2.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 - 3*u**2 - 7*u - 2. Let p = -9 + 14. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1135437*y**2 + 2289420*y wrt y.\nAnswer: -2270874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 19932?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 9 + -2 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1664, 1509, 1354?\n\"Answer: -155*n + 1819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 23*r**2 + 2*r - 6. Let z(b) = -4*b**3 - 46*b**2 - 4*b + 11. Determine 11*t(a) + 6*z(a).\nAnswer: -2*a**3 - 23*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 24 = -21*o. Let g(v) = -v**2 + 7*v + 6. Is g(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-37)\/(-13) + 20\/130. Suppose -3*p + j + 11 = 1, p + s*j - 20 = 0. Suppose 0 = z - 3, 0*d - p*z + 16 = d. Which is smaller: d or -2\/217?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -94, -133, -208, -331?\n\"Answer: -2*g**3 - g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehv when three letters picked without replacement from {h: 4, s: 1, j: 2, v: 3, y: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71460, 71466, 71476, 71490, 71508, 71530, 71556?\nAnswer: 71586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 43. Calculate the remainder when 40 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12+40754\nAnswer: 40766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*f = -11022, -13*g = -9*g - 3*f - 44083. What are the prime factors of g?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 - 2*d**2 + d + 5. Let z(s) = 5*s. Let f be z(1). Let j(n) = -7 - n + f*n**3 - 3*n**3 + 3 + 2*n**2. What is -5*j(x) - 4*r(x)?\nAnswer: 2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdcjjjcjiddi. What is prob of picking 1 d and 1 j?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.880409 to 2 decimal places.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44520 or 44556?\nAnswer: 44520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1885269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.2559659 minutes to days.\nAnswer: 0.002955531875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5723 + 5727. Sort r, 1744, -2\/9.\nAnswer: -2\/9, r, 1744","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.91 rounded to the nearest integer?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*g + 12 = -2*g, -3*g - 3 = -4*z. Let t be 2 - (19 + -4)\/(z\/(-2)). Solve 2*m + t = 2*k, -2*m = 5*k - 3*m - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7926 or 7928?\nAnswer: 7928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20752382 is divided by 460.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 8 - 25*j + 6*j + 8*j + 8*j in the form w*j + i*j**2 + t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8) + 23 + 36 + -51\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5372 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 9. Let m = 63 + -245\/4. Is m > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from ygygbiiggii?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 0*s - 2*s)*(4*s**2 + 4*s**2 - 6*s**2) + 3453*s + 520*s**3 - 574*s**3 + 56*s**3 as b*s + w*s**2 + z*s**3 + l and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = -4*r, 853*r + 22 = 852*r - 4*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 622\/5 - 125. What is the third biggest value in 0.09, -0.5, 0.3, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 - -17. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2130 and 35784?\nAnswer: 178920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(55) - sqrt(110)\/sqrt(2)) + sqrt(55) - sqrt(55))\/(sqrt(55)\/(sqrt(66)\/sqrt(6))) + -3 + -2 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590002 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12986331 to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/44 and -89\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/2 + 1329*m**2\/2 + 6831*m - 16308 = 0. Calculate m.\nAnswer: -12, 2, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, v: 1}. What is prob of sequence wwe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3972607, -3972599, -3972577, -3972535, -3972467?\nAnswer: -3972367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019631631393 rounded to six decimal places?\nAnswer: -0.001963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a hour in seconds?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2148)\/(-15) + (54\/30 - 1). What is the highest common factor of 528 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108709 is divided by 366.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62177 and 9834863?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n + 12. Let u = 51 - 53. Let t be 5 + -3 + (-6)\/u. List the prime factors of j(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Suppose 2 = l*g - 0. Solve 3 - g = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*s + 162*s - 288*s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.2 (b) -12.5 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + a = -7*v + 15, 332*v - 2 - 23 = 3*a + 333*v for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-17600070)\/50 + 2\/5. Round b to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20285?\nAnswer: 5, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*f - 395*f + 200*f - 371119*f**3 - 11*f**2 + 371118*f**3.\nAnswer: -f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/((f*f**(-3\/5))\/f)*f*f*f**8 assuming f is positive.\nAnswer: f**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2be247 (base 16) to base 5.\nAnswer: -1214012400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 685 and 16440.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33158776 - 22954.53?\nAnswer: 33135821.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 67\/4*z**4 - 115 - 1\/3*z**3 + 0*z + 4*z**2. What is the third derivative of w(y) wrt y?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -154, 1.\nAnswer: -154, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 295 = -1011 - 359 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let l be (1\/s)\/(4\/528). Suppose 2*y + 3*h + 51 = 5*y, -2*y + 44 = -4*h. Calculate the highest common divisor of y and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49\/6 + (282\/36)\/1 + -7. Let q be 28\/4*(-4)\/(-14). Let g(p) = -4*p + 4*p**q - 7 + p**3 - 3*p - 12*p**2 - 3. Give g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r + 2*r = 0. Solve 3*x - x = r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -68, -5, -19, -93 in descending order.\nAnswer: 1, -3, -5, -19, -68, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 223416 and 11484.\nAnswer: 2457576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 10*o + 5. Suppose -2*w + 2*k = -20, 3*k - k - 20 = -2*w. Let d be z(w). Find the second derivative of 0*v - 4*v + 5*v**d + 2*v wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438.286 rounded to the nearest 10?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(292\/(-8)))\/(13\/(52\/(-4))).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202123312 (base 4) in base 2?\nAnswer: 100010011011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-800)\/1280)\/((-1)\/8). Sort -0.1, 5\/58, -1, -0.4, g in descending order.\nAnswer: g, 5\/58, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -146 - 345*l + 37 + 21 + 336*l - 143. What is the tens digit of m(-47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2322 and 3526?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/12 - 20*y**3\/9 - y**2\/6 + 20*y\/3 + 58. Let h(m) = 0. Calculate m.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000469 to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210312 and 42228?\nAnswer: 10725912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**0\/g))**(-10)\/(g**(-2\/17)*g)**10 assuming g is positive.\nAnswer: g**(-490\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 + 20 + -4. Let q be -2*4*(-2)\/(-4). Let g = a - q. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10958 or 10809?\nAnswer: 10809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 1315 - (-9 + (-39)\/(-9) + (-1)\/3).\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 266*r - 4636. Let l(u) = -u - 2. Let y(g) = 6*l(g) - m(g). Factor y(b).\nAnswer: 4*(b - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - 2\/(-1)*49\/((-77)\/(-11)). Let q(y) = 6*y - 55. Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o. Suppose -3*c + 4*h + 11 = -h, 2*h = 5*c - 12. Let y(g) be the first derivative of -1\/2*g**c + 6 + 0*g. Calculate y(a(z)).\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 478 - 260. Let q = -356 + k. What is q rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 - 13*n + 44. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-182 - 10). Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -913 - 13?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 31*r**2 + 3*r + 6. Let m be ((-12)\/4 - 3)*1\/2. List the prime factors of t(m).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 2*g**2 - 3*g + 5. Let f be b(2). Sort 3, 53, f, -3.\nAnswer: -3, f, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 6, 1.6, -860.1, 4?\nAnswer: -860.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5)*(-90)\/(-36). Which is the second smallest value? (a) -5 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlgddzdzazgdllgldd. What is prob of sequence lzga?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**2 + r + 7. Let b = 0 + 1. Let t(d) = d + 1. Determine b*t(q) - n(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j + 1. Let d be g(-1). Let a = -9317 + 9315. Let y(m) = -6*m + 3. Let w(u) = -25*u + 13. Determine a*w(r) + d*y(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*a - 2*a + 8, 2*a + 4 = 2*f. Suppose f*c - c = -8. Which is smaller: -17\/2 or c?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and 48.68?\nAnswer: -5452.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/13)\/((10 + -12)\/(-4)). Let h = -9.1 + 9. Which is the nearest to 8? (a) h (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -679 (b) -0.6 (c) -1.9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = 5. Let j = 0 + -20. Let x = j - -19.8. Sort s, x, -2\/7.\nAnswer: s, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135966?\nAnswer: 2, 3, 17, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - -0.09. Let m be 220\/110*(-1*2)\/2. Suppose 3*w = 6*w. What is the nearest to -1\/2 in o, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -131*a**2. Let b(r) = -6*r**2 + 25*r - 25*r + 2*r**2. Calculate b(m(z)).\nAnswer: -68644*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 121. Calculate a(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359523 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:01 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4 + z**3\/3 + z**2 + 6*z. Suppose 10*u - 9*u = -1. Let p be w(u). Calculate the greatest common divisor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4030 + 4356. List the prime factors of l.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907 (base 11) in base 15?\nAnswer: 11a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 6*d. Let c(g) = -g. Let x(f) = 6*c(f) - z(f). Let u(s) = -28*s. Let a(l) = 7*l. Let y(m) = 26*a(m) + 6*u(m). Calculate x(y(h)).\nAnswer: 392*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26 - 153\/(-12)*104\/(-78)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7*n + 5*n = 2, 3*g + 2 = -4*n. What is the nearest to g in 0.5, -5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) -9.891 (c) -3\/5 (d) -1\/6 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9294*j + 19. Let h(p) = -10. Give 2*h(a) + r(a).\nAnswer: 9294*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 72. Suppose -62 = -b*w + 38. Suppose -y = -2*y + 5, 3*o + 16 = 5*y. Do w and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = 61 - 117 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/3)\/m))**29*m**(-1\/3)\/(m*m*(m*(m*(m*m**0*m)\/m*m)\/m)\/m))**(10\/19) assuming m is positive.\nAnswer: m**(1030\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s - 127. Calculate m(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 5. Let l = 16 + -10. Let k be m(l). Differentiate -3 + 8 - k + 3*d**3 with respect to d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -5, -2\/5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3505813 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 77\/24, -1\/2, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 2*y + 3. Let v be h(3). Suppose -2*x + 5*x - 9 = v. Solve a + 7 = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-1728)\/1024)*171\/(-1292)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -177, -274, -375, -480, -589?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 = j. Is j smaller than 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32224 and 40771840?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) -3 (c) -0.6 (d) 20 (e) -2\/17 (f) 2\/7 (g) -899\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 290\/25 - 57\/95. Suppose 2*p = 2*w - 24, -5*w + 7*p - 4*p = -52. Suppose -b + w = -2. Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.63191548 rounded to 3 decimal places?\nAnswer: 7.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 77, 115, 153, 191, 229?\n\"Answer: 38*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -3111, -10629, -25273, -49419, -85443, -135721?\nAnswer: -202629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/336*-16*(-2)\/4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -3, 1\/2, -0.41, -0.031, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 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: Subtract -22.1865 from -18284.\nAnswer: -18261.8135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504875 is divided by 988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.296 + -641.704. Let p = n + 644. Sort 3, -3, -31, p in increasing order.\nAnswer: -31, -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 314218 and -0.093?\nAnswer: -29222.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 13*r + 1\/15*r**6 + 0*r**3 - 2 + 1\/10*r**5 + 0*r**4 + 0*r**2. Let u(b) be the first derivative of z(b). Factor u(y).\nAnswer: 2*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let f(k) = -2*k**2 + 3*k. What is f(z(w))?\nAnswer: -18*w**4 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4558 + 11252 = 0. Which is smaller: c or -3163?\nAnswer: -3163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-5))\/(-1 - 0). Suppose 15 + 15 = f*w. Solve -v + w = 4*y + 4*v, 4*y - 14 = -3*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1065*w - 1157*w + 1274936. List the prime factors of w.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 981 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(64) - sqrt(64))\/(sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128)*-3 + sqrt(128) + sqrt(128)) + -2 + (sqrt(32)\/sqrt(2))\/sqrt(8) + 2*sqrt(8) + -1.\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*a + 15 + 8, 2*a - 3*i + 6 = 0. Suppose 4*o - 4*n - 100012 = -0*n, a*o + 5*n = 74985. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/275 - -149869\/550. Is 272 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, -35, -172, -399, -722, -1147, -1680?\n\"Answer: -k**3 - 36*k**2 + 62*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5\/3 - 332700*g**4 - 1996186*g**3\/3 + 998096*g**2 = 0.\nAnswer: -499048, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.025? (a) 7 (b) -3 (c) 4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**3 + 733*m**2 - 1213*m + 204. Let v(r) = -28*r**2 - r. Let k(c) = -b(c) - 7*v(c). Factor k(n).\nAnswer: -(n - 2)*(n + 51)*(11*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w - 79*w + 38*w = 0. Put 334, w, -2, -4, 1\/4 in increasing order.\nAnswer: -4, -2, w, 1\/4, 334","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 2*z - 4. Let d(k) = 14*k**2 + 4*k + 7. Let x(t) = -3*d(t) - 5*u(t). Let l = 93 + -94. Determine x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/21)\/((-3)\/2*112\/1176). Is y >= 198\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -347, -397, -479, -593?\n\"Answer: -16*h**2 - 2*h - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 13*g**2\/2 + 11*g + 18. Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1712830, -6, 1 in descending order.\nAnswer: 1, -6, -1712830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40063.6 rounded to the nearest one hundred?\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 - (-1 + -8)\/3. Let o be p\/6 - 4\/6. What is s in -4 + 1 - 4*s**2 - o - 8*s + 2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 328*i + 326*i - 659*i - 4 + 15. Suppose -12 = 5*u - 42. Calculate b(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*p**2 + 583*p - 90.\nAnswer: (p + 45)*(13*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.048, 67\/36, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 53*f**2 + 37*f - 94. Let m(h) = -42*h**2 - 37*h + 92. Let b(d) = -5*m(d) - 4*s(d). What is b(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 0, 4*d - 3*a = 13 + 6. Suppose 94 = d*u + 18. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y)*(9*y**4 - y**4 + 16*y**4) - 19*y**5 - 4*y**5 + 64*y**5.\nAnswer: 17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*w + 1155 + 1133, 3*c + 3*w = 3438. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1\/n)\/n)**4*((n*n**0*n)\/n)\/(n**(-2\/5)\/n))**1 assuming n is positive.\nAnswer: n**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675747250 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:01 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*w + 15*l, 1390*w - 1394*w + 70 = 5*l for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -3, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + 1 - -5. Suppose 0 = 3*j - 5 - 4. Solve -2*h - o = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 10*b + 18. Let k(d) = 2*d + 3. What is k(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*v - 26554 = -24*v - 15*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2067, -16547, -55843, -132363, -258515, -446707?\nAnswer: -709347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2610 - 1217\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1*-6 - (sqrt(99) - 3*(sqrt(99) - sqrt(99)*2)))\/((sqrt(441) - 3*(sqrt(441)*-2 + sqrt(441)))*-5))**2.\nAnswer: 11\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z - 7*z**2 + 11*z**2 + 8 - 3*z**2 - 3*z. Let u = -134 + 127. Let t be l(u). Sort -3, t, -4 in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 27*a - 54. Let j be h(29). Let i(y) = -8*y + 4. Let z be i(3). What is the common denominator of j*(-145)\/z*(-10)\/48 and 61\/5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(143)\/(sqrt(99) + sqrt(11)) + -5 - (sqrt(13) + (3 + sqrt(13))**2 + 5 - (0 + sqrt(65)\/sqrt(5))).\nAnswer: -36 - 23*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5470586 + 326.1\nAnswer: 5470912.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80512*m + 140790 wrt m?\nAnswer: -80512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/8 + 4*f**2 - 330*f. Let p(r) = r. What is -45*p(b) - 3*x(b)?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -8)\/(2\/11).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1247 and -22.314 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:48 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -9, 10, -8, 5\/6 in decreasing order.\nAnswer: 10, 5\/6, 1\/7, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2669357538 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 2 + (-4 + -4*(0 + sqrt(117)) - (2*-1*sqrt(117) - (sqrt(117) + 0)*-3))))**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2\/4)\/(4 + 76209\/(-19054))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(2*c**4 - 6*c**4 + 2*c**4) + ((c**2 + 0 + 0)*(-2*c + 1 - 1) + 2*c**3 - c**3 - 4*c**3)*(-2*c + 0 + 0).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 11196?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 1\/3 - 308\/(-3) - 312\/78.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -42. Let f be -1 - 2 - (-324)\/o. Does 0.1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*a**3 + 3*a**2 + 1 + 40*a**3 + 0 as v*a + k + d*a**2 + s*a**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21+-0.7368\nAnswer: -21.7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**3 + 6*s**2 + 2*s - 1. Let u(h) = -34*h**3 + 14*h**2 + 5*h - 2. Let j be 86\/16 + 21\/(-56). Let r(t) = j*k(t) - 2*u(t). Give r(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187049345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/15 - 1148444*g\/3 + 824327263210\/3 = 0. Calculate g.\nAnswer: 1435555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -477, -4306, -15019, -36156, -71257, -123862?\n\"Answer: -590*p**3 + 98*p**2 + 7*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*(p*p*((p*p*p*p\/p**5*p*p)\/p)\/p*p*p)\/p*p))\/((p*p**(-2\/7))\/p))**(-1\/50) assuming p is positive.\nAnswer: p**(19\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 11:23 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1089*o + 1210 - 286 = 858*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 169, -159, 0.\nAnswer: -159, -8, 0, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {u: 4, k: 1, c: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2650 - -5087. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6939130*g. Let j(n) = 15*n. Determine x(j(t)).\nAnswer: 104086950*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 4*q - 17 = 8*x, 2*q - 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**2 - 5\/6*b**3 - 1\/12*b**4 + 77\/20*b**5 - 25*b + 0. What is the third derivative of r(c) wrt c?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439 + 669. Let f be 7\/(-1) + (-527)\/(-31). What is the highest common divisor of f and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162\/1944 + 1739\/12?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -30. Let q(a) = 3*a**3 - 3*a**2 + a + 1. Calculate the remainder when q(2) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 133?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/80)\/(6\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**2 - 4*a - 14. Let x(p) = p**3 + p**2 - 6*p - 3. Let f be x(2). Calculate the remainder when o(f) is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7373 + 28303 = 266*o + 56*o. Suppose 7 = 4*x + 3. Let m be -2 + 14*(x - -1). Calculate the highest common factor of o and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2953099 is divided by 5779.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let x(p) = 3297*p**3 - p**2 - p + 1. Let a be x(u). Let i = -26423\/8 + a. What is the common denominator of 1\/3 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 225 = -8*v + u, -90 = -2*v + 3*u. Let q be v\/(-12) + (-16)\/64 - -5. Let f = -4.2 + -0.8. What is the nearest to 1 in q, -1, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*f*i**3 - 20*f*i**2 + 13*f*i - 299*i**6 - 1 wrt i.\nAnswer: -90*f - 35880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1471 is divided by 162.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {z: 1, d: 3, q: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 7. Suppose -2*i - 2*i + 4 = -3*o, 0 = -2*i + o. Let a be w(i). Suppose 0*g + 10 = 2*g. Sort a, g, 3 in ascending order.\nAnswer: a, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldldoollolooodood. What is prob of picking 1 d and 1 l?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + i + 9*i**3 - 10*i.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.186 and -2.75.\nAnswer: 0.5115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:25 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. Let t(w) = -7*w + 115. Let j be t(16). Suppose p = j*b - b. Solve b*v - 6 = y, -2*v - 3*v - 3 = 4*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z - 1394 = -155*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*u - 2015 = -2023, 0 = 4*s - 5*u - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 29. Suppose -w + 11 = -0*w. Calculate the remainder when b is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (15 + 7 - 37).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 143. Suppose -8*y = -i*y. Sort 5, 2, y, 3.\nAnswer: y, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Let n = 1870 + -1873. What is the nearest to y in -4, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 1\/12*a**5 + 1\/2*a**4 + 0 + 0*a + 2\/3*a**3 + 4*a**2. Determine t so that p(t) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 - 12. Let f(a) = 14*a**2. What is f(z(u))?\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -8*p**5 - 150*p**4 + 9236*p**3 - 68112*p**2 - 140940*p - 63450 = 0?\nAnswer: -47, -1, -3\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/27 - (-4)\/(-18). Let x = 22 - 21. Solve 0 = -2*a + 2*d, -a = z*d + 2 + x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(1*(4 + sqrt(637)*4) + -5)*6)**2*-3.\nAnswer: -17613504 + 96768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 18, 41, 72, 111, 158, 213?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4928091 to the nearest integer?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.25361 + -5388\nAnswer: -5388.25361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -17, 2 in ascending order.\nAnswer: -17, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -1478\nAnswer: -44.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/45 - (-103)\/9. Solve -4*a = -5*x + 21, 5*x - p - 19 = -5*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1234 - -896. Sort h, 2\/21, 0.3 in descending order.\nAnswer: 0.3, 2\/21, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 27*k**2 - 26*k - 55. Give m(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 9*y + 7. Let o(p) = p**2 - p - 1. Calculate -6*o(r) - w(r).\nAnswer: -2*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*j**4 - 8*j**2 + 57*j**4 + 4*j**3 + 5*j**2 - 5*j - 13*j**2 + 5*j**4 wrt j.\nAnswer: -192*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 53 = -60*j - 43 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*((2 + sqrt(637))*-1)**2.\nAnswer: -9615 - 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Let b = -8 + z. Let x = 32 + -29. What is the third smallest value in -3\/4, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/271 + 4059\/542. Which is bigger: 8 or k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1065 and 26115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/16)\/(3\/12). Let h = 271\/36 + v. Let t = -7\/36 + h. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -29 - (26 + (-25 - -13))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309438?\nAnswer: 2, 3, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 441 + -440.99999783. What is c rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 3*x - 36 = 0, -3*z = 2*x - 86. Suppose 2*o - 69 = 3*t, -122*o - 2*t - 62 = -124*o. Calculate the highest common divisor of o and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 37 = 5*l - l, -l + z - 9 = 0. Let g = l + 12. Let r = 4 - g. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1058017 + 17986297\/17. Factor -2\/17*g**3 - w*g**2 - 28\/17 + 38\/17*g.\nAnswer: -2*(g - 2)*(g - 1)*(g + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2df (base 16) in base 8?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20104.\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25025 + -13517. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -89\/206, -0.2?\nAnswer: -89\/206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -1.14 (c) -3 (d) -2\/137 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1785, -1784, -1783, -1782, -1781, -1780?\n\"Answer: g - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1456 divided by -208.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 3:57 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/2*(-1800)\/(-100)*2\/(-30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510 less than 208.2?\nAnswer: -1301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, j: 2}. Give prob of sequence mj.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (12 - 8 - 5 - 5).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13192400 to the nearest 100000.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -0.04, -1\/7 in ascending order.\nAnswer: -2, -1\/7, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/9 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408227.8 days to seconds.\nAnswer: 35270881920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*y + 2, -4*v - 3*y + 4 = 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*w - 41*w - 26*w - 8*w in the form a*w + q and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let p = 0 + 1. What is the third biggest value in p, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 8)*(-2*y**2 - 3 + 3) - y**2 - y**2 + y**2 + (1 + 2*y - 1)*(-3*y + 3*y - y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5788*t**3 - 18*t**2 - 35*t + 47*t - 12*t + 16*t**2 to n*t**2 + f + g*t + a*t**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 7 + 2 - 4. Let f be q(12). Let d(b) = -b**2 + 2*b + 2. Let o be d(2). Solve g = f - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48141.0374 to the nearest integer.\nAnswer: 48141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161055, -159699, -158343?\nAnswer: -156987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504*i**4 + 6*i**3 - 36*i + 1091814 with respect to i.\nAnswer: 2016*i**3 + 18*i**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*s + 12, -s + 5*l = -6*s + 30. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*x = -14, -2*p - 2 = 3*x - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 5, w: 3, v: 1}. Give prob of sequence ywq.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-1) - (-3 + (-6540)\/(-150)).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 127 (c) -3\/4 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -14) + (1 - -15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 199810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.54747 millilitres to litres.\nAnswer: 0.01554747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/7, 0.03018 in decreasing order.\nAnswer: 2\/5, 0.03018, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070134833.\nAnswer: 3, 356711611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/167 and 3\/2088466.\nAnswer: 348773822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 - 24*d + 72 = 0. Calculate d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 2263?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 33.0912\nAnswer: 9.92736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12599608\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*o + 25, o + 3 = -5*z + 10. Let d = -36 - -37. What is the highest common divisor of d and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 43*f**2 + 1040*f + 21611. Determine j(-19).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1335 + -1255. Calculate the greatest common factor of 760 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose y = 5*u - 11 - 0, d*y + 4*u = 3. Let g(w) = 2*w**3 - 5*w - 6. Let f(r) = r**3 - 4*r - 5. Let m(n) = 6*f(n) - 5*g(n). Determine m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12412 >= -8028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 7. Let s(c) = -3*c - 22. Let k(y) = 7*q(y) + 2*s(y). Let f be k(8). Suppose 976000 = -f*a + 9*a. Round a to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 8*x - 4. Let n be d(9). Suppose -c + n*c = 5*p + 33, 0 = -3*p + 9. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = c - 18, p + c = 9. Let m = -6 + p. Factor -12\/7*v - v**m + 4\/7.\nAnswer: -(v + 2)*(7*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -49 and -1112\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s + 18. What is the least common multiple of 8 and w(4)?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*o. Suppose -o*s - 2*s = 0. Let q(a) = -a**3 - a + 4. What is q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 888, 3564, 8024, 14268, 22296, 32108?\n\"Answer: 892*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 50, 81?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-3 + (2*sqrt(2736) - sqrt(2736))) + -2)**2.\nAnswer: -528*sqrt(19) + 11065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71049 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -2.6. Let a = -0.07 - -1.07. Let t = a + v. What is the second biggest value in t, 3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 140 = -40*p + 9*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01125 + 79.59875. Let m = 71.58 - x. Let y = m + 8. What is y rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t. Suppose g - 5*p = 113, t*g - 516 = -4*g + 4*p. Suppose 3*l - g = -22. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (276\/36 + -11)*(-2)\/(8\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3\/2 + 135*g**2\/2 - 185*g + 120 = 0. Calculate g.\nAnswer: 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y + 528 = 109*y - 196*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*q - 47*q - 41*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*s - 2*s**2 - 44 + 2*s - 18*s wrt s?\nAnswer: -4*s - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**3\/6 - 5*b + 7. Let r(i) be the first derivative of w(i). Let s(v) = 8*v**2. Give r(s(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-2)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16779 + 49175\/3. Let x = h + 388. Sort 5, x, 0.05, -1\/3 in decreasing order.\nAnswer: 5, x, 0.05, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/123 and -43\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -44*t**2 - 8*t - 3. Let q be (0 + 2)*((-16)\/4)\/8. Let y(g) = g**2 - g + 1. Let j(l) = q*b(l) + 2*y(l). Is j(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4190 + -4174. Calculate the greatest common divisor of 4784 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 4*w + 2*i, -4*i = 2*w - 18 - 74. Suppose -w*f - 4430000 = -35*f. What is f rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-2) + 321\/6 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*c = 10, s - 456 + 455 = c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1, -5, -1\/15, 0.1 in descending order.\nAnswer: 2\/15, 0.1, -1\/15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - 36. Let a be b(11). Suppose 2*r - a = -r - 2*g, 2*r = 2*g + 16. What is the greatest common divisor of 49 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 12, 0 in decreasing order.\nAnswer: 12, 1, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*1\/(-12)*7\/((-70)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/9)*t*t**3*t)**(-25) assuming t is positive.\nAnswer: t**(-1100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -5 (c) 1\/7 (d) 12 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -14 (b) 1.3 (c) 5 (d) -2\/3 (e) -1\/3 (f) 1\/2 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 12*l - 7. Calculate s(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4496380160*r**3 + 8992760328*r**3 - 4496380171*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 71*w - 104. Let i be p(84). What is the highest common factor of i and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3102, 12417, 27946, 49689, 77646?\nAnswer: 111817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -89. Let m be -1 + 0 + a\/44. What is the nearest to 3\/4 in m, -3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**3 - o**2 + 4. Let g(p) = -p**3 + p**2. Calculate g(j) + m(j).\nAnswer: 5*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*i - 1606, -16*d = -15*d + i - 811. Calculate the lowest common multiple of 381 and d.\nAnswer: 104013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from zttkfffbtofk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 3*s - 24 - 649*s - 109*s**2 + 356*s + 3 - 3 - s**2 + (-3*s**2 + 3*s**2 - 2*s**2)*(-1 - 1 + 0) - 2*s**2 + 5*s**2 - 2*s**2.\nAnswer: -105*s**2 - 296*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -686, -1022, -1358?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let x(v) = 62117929*v. Calculate z(x(t)).\nAnswer: 3858637103249041*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -88, -185, -326, -517, -764, -1073?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f, -z + 1 = -f - 2. Let o(t) = -12*t + 36. Let w be o(3). Suppose 2*k + z*i = 4*k - 98, w = k + 2*i - 61. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**6 - k**5 - 16532*k**3 - 507226*k**2 wrt k?\nAnswer: -360*k**3 - 60*k**2 - 99192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.48 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044353 rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10000111001010011?\nAnswer: 10000111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52819480717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/2)\/(-7)*-2. Let r be (-1 - -63)\/1 - (2 + n). Let s = -379\/6 + r. Which is the biggest value? (a) 3\/2 (b) s (c) -0.04 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24951 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2665737 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3304*w = 4*f - 3306*w + 6, 0 = -2*f - w - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2302, 23, 26 in decreasing order.\nAnswer: 2302, 26, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3. Suppose 3*n = o - 4 - 3, 4*n + 18 = -3*o. Let j be (o + 5)\/((-3)\/4). Let b be 1*-2 - (3 + j). What is f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140 + 30 - 215 - 33)*(0*i**3 - 2*i**3 + 3*i**3) as p*i + s + f*i**2 + a*i**3 and give a.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)\/sqrt(4)*-2 - (sqrt(66)\/sqrt(2) + sqrt(33))\/sqrt(3))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220112002011 (base 3) to base 12.\nAnswer: 1b3394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 12. Let f(z) = 4 - 40*z**2 - 16*z**3 - 3*z**2 + 2*z + 0*z + 48*z**2 + 15*z**3. Determine f(w).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.06 (c) 1\/2 (d) -3 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -60*k**4 - 715*k**3 + 19565*k**2 - 1565*k - 1625 = 0.\nAnswer: -25, -1\/4, 1\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 7) in base 9?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:10 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/70845390 and 53\/20790.\nAnswer: 212536170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9744 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921 = -w - 2*w + 61*c, 13*w + 6*c = 8*w + c - 65 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, 7640, -0.01, -2, 4, -0.1, -3\/5?\nAnswer: 7640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:58 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69069 and 26082966.\nAnswer: 286912626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 8 - 24 = -a, -v - 27 = -1089075*a + 1089072*a - 7 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -38 - 4 - (-1*3 + 5 + -6)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512576 is divided by 507.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17856 + 8348. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.36 * 3377.22.\nAnswer: 14724.6792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 1. Let u(i) = 3*i. Let z(r) = 4*b(r) - 7*u(r). Let a = -8 + 16. Suppose 20 = -5*d, 3*d + a + 8 = w. What is z(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 6*c + 9639. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -221a47?\nAnswer: -221a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029371649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580587.\nAnswer: 29, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - d - 1. Let h(v) = -2*v**2 + v + 2. What is -2*g(b) - 3*h(b)?\nAnswer: 2*b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 332566023 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 65*u**2 + 126*u - 3963. Calculate n(66).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -22*k - 63. Let o be y(-3). What is the second biggest value in o, 12, -3, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 7*i - 3 = 0. Sort -5, i, 0, 3 in decreasing order.\nAnswer: 3, 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*b + 22 = 0, 56 = -43*n + 44*n - 6*b. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 1, z: 3}. Give prob of picking 1 z and 1 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1498246 and -6.\nAnswer: -8989476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a906 (base 14) to base 15.\nAnswer: 21647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 40 + 26. Let x = y - 23. Let o(s) be the third derivative of s**6\/60 - s**4\/4 + 3*s**2. Let g(l) = -l. Determine x*o(w) + 6*g(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402*c**3*h*o + 2*c**3*h + 987*c**3*o + 5*c*h + 113*c*o wrt h?\nAnswer: -402*c**3*o + 2*c**3 + 5*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -45. Let j be (-3)\/1 + r\/((-3)\/8). Let o = 2 + 11. Solve 3*l + 2*v - o = 0, -5 = l - j*v + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (86\/6)\/(1\/(-2)). Let b = p + 29. Is b less than or equal to 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02065*-4\nAnswer: -0.0826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**4 - 12*j**3 - 7*j**2 - 9*j. Let k(g) = 4*g**4 - 36*g**3 - 20*g**2 - 28*g. Let x(u) = 5*k(u) - 16*q(u). Determine o so that x(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 89. Put y, -4, -1\/4, -11\/5 in decreasing order.\nAnswer: -1\/4, -11\/5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.905*0.5.\nAnswer: -1.4525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (250\/(-3))\/((-6198)\/9297)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 20 = -4*q, -25 = -5*q - g. Suppose 0 = -5*t - q*s + 10, -2*t = t + 5*s. Let x = -8 - -6. Put x, t, 3 in ascending order.\nAnswer: x, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*1.117\nAnswer: 6.5903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n + 2*n**3 + 0*n**3.\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*w - 10, -3*z + 3*w - w = 10. Suppose -3*f + 55 = -a - z*a, -f + 3*a = -13. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, 1.402.\nAnswer: -4, 1.402, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -388650400 rounded to the nearest one million?\nAnswer: -389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 3\/118 (c) 0.3 (d) -0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 + 4)*(-3 + 3 - 1) - 2 - 2 + 5 + 7 - 3 - 2)*(2*a - 4*a + a)*(24 - 9 + 24) in the form x + i*a and give i.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(76)*-4 - (-2 + sqrt(76)\/sqrt(4))).\nAnswer: -9*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2800.93 + 2941.4859. Let v = o - 139.6058937. Let w = 0.95 - v. Round w to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0 + 11*n + 1\/3*n**3 + 0*n**2. Let v(z) = -7*z**2. Give k(v(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*c - 269*c - 550 = -11210 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -13, 35, 116, 4.\nAnswer: -13, 0, 3, 4, 35, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 5*z, 12 = 3*c + 3*z. Suppose 5*m - 15*a = -13*a + c, 12 = 2*m + 5*a. Let j(x) = -6*x - 1. What is j(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 515*j = 519*j - 29, -4 = f + j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 77*w + 264. Give t(-18).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4)\/h)**(20\/3)*h**2\/h**(-2)*((h*h\/(h**(1\/2)\/h*h))**40)**0 assuming h is positive.\nAnswer: h**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/52, 6\/11, 73 in descending order.\nAnswer: 73, 6\/11, -1\/52, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 644977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + -2 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + 33. Let x(z) = -z**2 - 6*z + 3. Let p be x(-7). Calculate the common denominator of -113\/10 and (y\/12)\/(2\/p).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z + 120 = 60*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349 = -63*l + 205 + 139 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 79*j**2 + 41*j + 43. Let x be o(-40). Determine q, given that -x*q**3 + q**2 - 25*q**2 + 16*q - q**3 + 12*q**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194027206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u\/(u**1*u*u))\/u)\/(u\/(u\/(u\/(u\/(u*u**(1\/9)*u)*u)))*u))\/(u**(-4)\/(u\/(u**(9\/5)*u))) assuming u is positive.\nAnswer: u**(-41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 4*u**2 - 4*u - 3. Let q(g) = -2*g**3 - 4*g**2 + 5*g + 4. Give -4*j(s) - 3*q(s).\nAnswer: -2*s**3 - 4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169 - 337\/2. Let w(o) be the first derivative of -l*o**2 - 5 + 0*o. Let z(t) = -11*t. Calculate w(z(k)).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18502, 14585, 10666, 6745, 2822, -1103, -5030?\nAnswer: -8959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4\/(h**(5\/8)\/h) assuming h is positive.\nAnswer: h**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -1.2. Are -0.2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 46. Let a be w(6). Solve a*l = d + 13 + 3, 0 = -3*l + 3*d + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + sqrt(17))*-5)**2 + sqrt(17) - sqrt(51)\/(sqrt(48)*-1).\nAnswer: 205*sqrt(17)\/4 + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948455637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2. Let o(r) be the first derivative of -r**4\/8 + r**3\/2 + 3*r**2 - 49. Let g(x) be the second derivative of o(x). Calculate a(g(v)).\nAnswer: -18*v**2 + 36*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f + 7. Suppose 9*c**4 + 5*c**5 - 12*c**3 + 3*c**5 - 2*c**5 - 12*c**f + 3 + 6*c**3 = 0. Calculate c.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 1212 = 6618. What is the least common multiple of 11 and d?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189892*h**2 + 189892*h**2 - 6*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 2. Let s = -14 + 10. Which is the third smallest value? (a) s (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-20) - (-6)\/(-8). Let r = 8 + -6. Is r < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 at most -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.918 + 0.082. Let l = 0.7 - 0.6. Let q = 6 + -7. Which is the nearest to l? (a) n (b) q (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2051*p - 2323 + 54325 = -107199 + 7427 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1738 + -1741.5. Round q to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a)\/(a**3\/a)*a*a*a**(2\/17)*a\/(a\/(a\/a**(-9)))*(a**(-1\/6)\/(a*a**(-3\/4)))**(-1\/58) assuming a is positive.\nAnswer: a**(238117\/11832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5678 = -18*x + 14*x, x + 2*t - 1421 = 0. Does 43 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 3*r**2 - 3*r**2 - 24357949 + 24357949.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 20 = 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/(-5) + (-7)\/(-70). Which is the third smallest value? (a) 1 (b) -0.02 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:42 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + z**3 + z**3 + 3*z**2)*(12 + 5*z - 12).\nAnswer: 10*z**4 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aaa73 - -452?\nAnswer: 300415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13085\/6 or -2181?\nAnswer: -2181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10386*n**2 + n - 1. Let j be o(1). Let i = -28386 - j. Round i to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 23 - (-46 + 68)) + (-10 - (1 + 4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*u - 12*g + 186 = -761*u, 0 = 2*u - 5*g + 71 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10838169.\nAnswer: 3, 113, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:38 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 5*d - 1 = t, -2*t + 2*d - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2886 divided by -74.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 18 - (11 - 23)) + -26?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 8. Let j be l(7). Let h(d) = -d**2 - 5*d - 2. Let p be h(-2). Suppose -p*z = w - 29, z + 2*z = w - j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 38*n**2 - 4*n - 5. What is the units digit of f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01679764321 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 136 = 15114*t - 15110*t, -3*l = -t + 39 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u**4 - 4*u**2 + 30*u**3 - 4*u**5 + 4*u**4 - 26*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361 + 1361 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 3. Determine k(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451 + -10?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41669120 by -5248.\nAnswer: 7940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1880)\/(-1150)*23*5\/(-2)*1\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = -63*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(6*(2*sqrt(768) + sqrt(768) + sqrt(768)))\/(3*6*(sqrt(4)*-1 - sqrt(4))).\nAnswer: 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(245) - 3*(1*sqrt(245) - sqrt(245)))**2.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*h = 4, 0 = 4*q - 137*h + 136*h - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*p - 2*l, -9*p - 59*l - 41 = -57*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-11 + 2 + 4) - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a + 58. Calculate w(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -65*i**2 - 1657*i + 46. Determine n(-25).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.18 + -1.7. Let y = 2.67791 + -5.557769. Let q = y - b. Round q to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505262646?\nAnswer: 2, 23, 53, 509, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = 4. Suppose 3*u - 9 = -0*u + 3*m, 15 = 5*m. Let k be ((-4)\/u)\/(24\/(-180)). Solve 3*i = -y + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -3.7. Let r = -3.5 - v. Let z = -4 + -1. What is the biggest value in -2\/3, z, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + sqrt(125) + (sqrt(125) + -1 + sqrt(125))*4 + 6*(sqrt(125) + -1 + sqrt(125)))*2)**2 + 3 + -3.\nAnswer: -8800*sqrt(5) + 242400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-56))\/((-18)\/16 + 0). Sort k, -32, 2 in descending order.\nAnswer: 2, k, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -22*r**2 + 2*r - 1. What is s(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 + 68*5\/90. Suppose x - m = -x. Suppose -2 - x = -4*h, -5*h = 5*f - 480. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + x - 753 = 251, -5*m - 3*x + 1672 = 0. Suppose 12*q - 7*q = m. Let u = 73 + -39. Calculate the remainder when q is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 35*f**2 + 50*f + 66. What is the thousands digit of g(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 47. What is the common denominator of -83\/6 and (-546)\/48 - (s - 4\/2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4906 + 9800 - 4900 - 286*g**3 to u*g + b*g**2 + f + l*g**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0 - 20. Let l = -5 + p. Is (l - 2)\/(-3) + 21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4486938, -8973873, -13460806, -17947737, -22434666, -26921593, -31408518?\nAnswer: -35895441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -3361975?\nAnswer: 22\/3361975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 28074744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000228174 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(162)*3*2 - ((sqrt(162) + 3 + sqrt(162))**2 + -5)*-2.\nAnswer: 54*sqrt(2) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*2*2 + (sqrt(72)\/sqrt(4))\/sqrt(6) + 0 + sqrt(363) + -2)**2.\nAnswer: -208*sqrt(3) + 8116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) -50 (c) 0.01 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Let v(i) = 4*i**3 - 6*i**2 - 7*i + 9. Let y be v(5). Let n be (y\/15)\/(-3)*15\/33. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 11*u + 28 = -9*u, 0 = s - 5*u + 16. Determine y, given that 3\/2*y - 3\/2*y**3 + 0 + 3\/2*y**s - 3\/2*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/7*((-4 - -12) + 9\/(-33)*33)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(190)*3 + sqrt(190))*-5)\/(sqrt(1210)*-2*3).\nAnswer: -20*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 17758?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7513 + 5?\nAnswer: 7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2937624 and 13\/28.\nAnswer: 20563368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61790170333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:08 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411491948, -411491947, -411491946, -411491945, -411491944, -411491943?\nAnswer: -411491942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -725 - -2016. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/(-310)*(-17)\/51?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 4 = 0. What are the prime factors of -1 - o\/(-2)*14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.9 - 48534.\nAnswer: -48444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 13*z = -65. Let t be 4\/26 - 804\/z. Differentiate -41*n**4 + 9 + 9 + t*n**4 with respect to n.\nAnswer: 84*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -27*h + 328. Let r be t(12). What is the second biggest value in 0.3, r, -2, -1.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49356914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 + 11*p**2 + 25*p**2)*(p - 4*p + 5*p)*(17 - 171 - 101).\nAnswer: -11730*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -615 or -607?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 + 7*j + 5. Suppose -3*o + 3*n - 30 = 0, 1 = -o + 3*n - 5*n. Let x be l(o). Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5 - 3*j**4*n + 1031*j**3*n + j**2*n + 5*j**2 - j - 1171*n wrt j?\nAnswer: 60*j**2 - 72*j*n + 6186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 438.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**3\/3 - 7*w**2 - 2*w - 348. Calculate d(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*k - 3, -2*n - 4*k + 16 = 0. Suppose 0*m = -m + 4*p + 32, m + 2*p = n. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.266503 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1106 - -1166. Let o be 3*16\/m + (-63)\/(-15). Let n be ((-4)\/(-39))\/(4\/(-6)). What is the nearest to o in -0.5, -4\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.059 + 0.059. Sort 7, 0, -4, t in ascending order.\nAnswer: -4, t, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18126 and 2185?\nAnswer: 2084490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + -10 + 6 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 6. Let u(s) = -s**2 + 9*s - 2. Let c be u(8). List the prime factors of k(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0079 + -1.8001. Let b = -1.8 - o. Let l = b - -0.522. Round l to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467185 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4263.91298 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-1))\/w*w))**(-25)*((w**1*w)\/w)\/(w\/((w*w**2\/w)\/w)) assuming w is positive.\nAnswer: w**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31646912?\nAnswer: 2, 11, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 6. Let f be x(4). Solve -2*o - 2*b = 16, -f*b + 3*b + 12 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2 - 3. Give a(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/(69\/(-736)). Suppose -11*g + p = -7*g. Solve -l - g = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232767b (base 13) to base 12.\nAnswer: 3769962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32419\/4 (b) 0 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 273*j + 46. What is the units digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3997204 and 0.5.\nAnswer: -1998602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/7 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*25125\nAnswer: -125625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179403, -358801, -538199?\nAnswer: -717597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 27*z**2 + 59*z - 36. Let l be c(29). What are the prime factors of 1\/(l + 5)*-310?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 57 = 3*l, l + d = -l + 23. What is the lowest common multiple of 6 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 3164 - 3396 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/3 (b) -5 (c) -4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16619.26 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000117302 to seven decimal places.\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01905732553 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 625.7416 millennia?\nAnswer: 62574.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6 - 896819*d**3*v - 14882143*d**2*v wrt d.\nAnswer: 120*d**3 - 5380914*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*q - 1 = -0*q, 31 = 3*h - 2*q. Solve -h*x + 2*x - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 927 - 462. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*h = -6*h + 6838, -i = -h - 3446. What is the smallest common multiple of 1473 and i?\nAnswer: 10311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*d + 240*d - 160*d**4 + (2*d**2 + d**2 - 2*d**2)*(-11*d + d**2 + 11*d).\nAnswer: -159*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47266398?\nAnswer: 2, 3, 2625911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1113, -1294, -1473, -1650, -1825, -1998?\n\"Answer: w**2 - 184*w - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -16, -5*n - 91 + 74 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1709 and -28\/23.\nAnswer: 39307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*n + 7, -4*n + 2 = l - 20. Suppose 692 + 1373 = n*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -26*a + 33. Let c(j) = 11*j - 17. Let w(k) = 7*c(k) + 3*l(k). What is w(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3*n - 138 = 15, 5*b + 8*n - 26 = -92 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*h + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3*1)\/(sqrt(64) - (sqrt(64) + sqrt(64)*3)) - (-3*sqrt(187)\/sqrt(44) + (5 + -2*sqrt(425))**2).\nAnswer: -1725 + 407*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*d - 20, 4*j + 8 = 2*d + 28. Suppose d = 2*i - 3*a + 47, -6*a + 8*a + 34 = -i. Is -82\/3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 3*v, 4*s - v + 11 = 6*s. Suppose f = 2*p + s*p + 6, -5*p = 4*f + 26. Let l(m) = 2*m + 3. What is l(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + o - o + ((-1 + 1 + 2)*(2*o - 9 + 9) - o + 2*o - 3*o)*(o + 2*o - 2*o) to y*o + i + h*o**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(38)\/sqrt(2) + 2 + (sqrt(190)*1)\/sqrt(10) + sqrt(1900) + ((sqrt(1900) + -2)*6 - sqrt(1900)) + sqrt(1900))**2.\nAnswer: -98601 + 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/10 - 167*i**4\/6 - i**3\/3 - 10*i**2 - i + 14. Find the second derivative of b(f) wrt f.\nAnswer: -12*f - 668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214.1646656 - -168.16466. Let s = r - -46. Round s to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6831 divided by 2277\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 201, 781, 1747, 3099, 4837, 6961?\n\"Answer: 193*p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -258.4 smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-30)*d**(-20))\/(d**(-13)\/d*d*d*(d*d*d**(4\/21)*d)\/d) assuming d is positive.\nAnswer: d**(-844\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 2*u**2 + 5. Let b be v(0). Suppose -4*q = b*r + 2875, -2 + 1 = -r. Let f = -335 - q. Does 39 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -148649*u + 446309. Give w(3).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40.6 - -23\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -328*j + 6887. Calculate y(15).\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/(-130)*-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72086520 divided by 109222?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 788 = 776. Calculate the remainder when v is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**2 + 1 + 2*y**2 - 3*y**2. Let p(o) = -3*o + 11*o - 5*o - 2*o - 3*o. Determine g(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815 is divided by 148?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 285*s - 3269. What is p(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1092? (a) 2 (b) 1\/6 (c) 0.01 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -1 - 19) + 7 + (-9 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 6 - -4*56\/63.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a factor of 625520395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f + 73. Let b be o(8). Let d = b + 356. Is d a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2)**2*1 + -1.\nAnswer: 4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1)\/(-3 + 2). Let c = a - 0. Suppose n + c*n = 12. Solve -f = 3*h - 18, 0*f + 3*h - n = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 445?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -613\/12 - -51. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/270 and 11\/405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 + 353. Calculate the remainder when 63\/2 + 1\/2 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6326046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 69 = 2*h, 2*h + 3*z - 60 = 7*z. Let y be (12 - 5) + ((-81)\/12 - 0). Which is the nearest to 2\/5? (a) -1 (b) h (c) y (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295566109?\nAnswer: 19, 15556111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 + 18. Let w(h) = -39*h. Give n(w(l)).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**2. Let i(r) = 4*r**2 + 18. What is i(j(d))?\nAnswer: 400*d**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i - 73. Let b be k(6). What is the closest to 2\/3 in b, 0.3, -37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*w - 324, -2*w - 5*t - 143 - 146 = 0. Let v be 6\/(9*4\/1548). Let b = v + w. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.46 - 11.43. Which is the second biggest value? (a) -1 (b) -2\/5 (c) n (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304 = 65*i - 97*i. Which is greater: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/11)\/w)**(-34)*(w\/w**(-14))**14 assuming w is positive.\nAnswer: w**(2888\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1455882958 to the nearest integer?\nAnswer: 38156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 312.3 - 410. Let z = l + 97.7. What is the nearest to 2\/7 in z, 0.3, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 1752 + 0*l - 2*l.\nAnswer: l + 1752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10623 - -6?\nAnswer: 10631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.13 (b) 238 (c) 1\/16 (d) 2.095 (e) -4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/12 - 7*t**2\/8 - 3*t\/2 + 1. Determine w, given that s(w) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 133 = -5*k, k + 2*u = -5 + 29. What is the remainder when k is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71.234 and -6.3?\nAnswer: 448.7742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and 25\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 3*b**4 + 2*b**4 - b**4 + 0*b**4 + 4*b**4 + (-b + b + b**2)*(3*b**2 + b**2 + 2*b**2).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 119. Let f = -784\/33 + 71\/3. What is the nearest to o in -4, 1, -0.4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1990 + 3387. Calculate the highest common divisor of h and 1143.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170591 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.01 rounded to 0 decimal places?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*m**2 + 60*m**2 + 49*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 5 - 2*-4. Let k = 0.25 - 50.25. Let y = k - -53. Sort y, -2, j in increasing order.\nAnswer: -2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44749593 or 44749604?\nAnswer: 44749593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 1915.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose -m*r - 930 = -3*p - 0*r, 0 = p - 3*r - 300. Let x be (-2)\/(-7) + (-132)\/p. Which is the biggest value? (a) x (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g\/g**1)\/g)**(6\/5)*(g**(-3\/4)\/g)\/g*g**(3\/5) assuming g is positive.\nAnswer: g**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -14. Suppose -17 = 3*u - u + 3*m, -2*m + j = -3*u. What is the common denominator of 9\/11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/202 or 1?\nAnswer: -7\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.5, -10, -5, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1831101, 3662218, 5493335, 7324452, 9155569?\n\"Answer: 1831117*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230657 - 157338.52.\nAnswer: 73318.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.19 - 3.5\nAnswer: -4.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.006, -0.276, -3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5490 less than -0.082?\nAnswer: 5489.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23*g**2 + 19*g**2 + 29*g**2 - 95*g**2 + 20*g**2. Let l(b) be the third derivative of -5*b**4\/12 - b**2. Determine x(l(j)).\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 9090\/(-315))*-6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*2\/1. Let u = 1 - 0. Let g = -1 + u. Put w, g, -3 in increasing order.\nAnswer: -3, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115600518.\nAnswer: 2, 3, 11, 583841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12945905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 897.\nAnswer: 38571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -134.4 - 454.6. Let h = -588.994542 - m. Round h to four dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/55)\/(2\/(-23520)). Let h be z + 3*12\/(-9). What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1164 - -1185. Is 40 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2219 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369.978 centuries in millennia?\nAnswer: 236.9978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 18\/11, -0.0783?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsb when three letters picked without replacement from {s: 1, t: 1, g: 2, b: 1, i: 2, e: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, m: 1, z: 1, x: 1, q: 1}. Give prob of picking 1 d and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g + 20. Let z be u(-6). What is the greatest common factor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 1, w: 2, s: 4, i: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 178 = -3*k, 3*a = 4*k - 2*a - 196. Let d = 58 - k. Put -5, -3, 1, d in increasing order.\nAnswer: -5, -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*r = 1465*r + 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -119?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 419 and 0.05?\nAnswer: 20.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 2 v when four letters picked without replacement from bvfvffufvuufsbuf.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 14*c**2 - 7*c**2 + (-2 - c + 5 - c)*(c - 3 - 7*c + 4*c) in the form n*c**2 + q*c + o and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 2. Let g(c) = 17*c - 3. Suppose 6 = 5*r - 3*r - 4*d, 3*r - 18 = -3*d. Determine r*g(o) + 8*m(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:39 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -84415.\nAnswer: 3\/84415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 4. Let x = -8 - -8.3. Let r = 2.6 + -5.6. What is the nearest to t in r, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 + 17*w**4\/5 + 33*w**3\/5 + 18*w**2\/5 = 0. What is w?\nAnswer: -6, -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 546.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f + f + f)*(-105*f**2 - 104*f**2 + 7*f + 212*f**2) as q*f + v*f**3 + a + d*f**2 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Put 0.5, k, 0.04 in decreasing order.\nAnswer: k, 0.5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 44*g**3 + 3*g**2 - 28*g - 76. Determine x(-3).\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*m**5 - 24*m**3 - 400*m**2 - 1.\nAnswer: 12780*m**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*l**4*x**2 - 12*l**3*x**2 + l**2*x**2 - 4*l**2*x + 19*l**2 - 116*x**2 wrt l.\nAnswer: -2208*l*x**2 - 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + d + 2*d)*(-1 + 1 - 2) + 3 - 3 + d + (-d - 3 + 3)*(0 - 1 + 3))*(-20*d**2 - 17*d**2 - 64*d**2).\nAnswer: 303*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 29. Let q(n) = -8*n**3 - 3*n + n**2 - 8*n**c - 8 + 21*n**3. What is the hundreds digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58 and 1084.07251889.\nAnswer: 1026.07251889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -382*c - 3664?\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**32*x))\/x**33)**(-4\/27) assuming x is positive.\nAnswer: x**(260\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuuwwwucucuuu. Give prob of sequence uww.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvr when four letters picked without replacement from vvnvrvvvnvvnvqvvrnv.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 272034\/54 + (-12)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 652.\nAnswer: -2608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 4, -4, -1353 in descending order.\nAnswer: 4, -1, -4, -12, -1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -53*g**2. Let q(d) be the second derivative of d**4\/4 + 4*d**2 - 14*d - 2. Let h(z) = -z**2 - 2. Let u(p) = 4*h(p) + q(p). Calculate c(u(v)).\nAnswer: -53*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048746693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4\/6*3. Suppose n = 4*t + t - 10. Find the second derivative of -3*r - t*r**3 + 0*r + 4*r wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 4*d + 18, -42 = 9*d + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17263 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 187843 and -0.348.\nAnswer: -65369.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-1 + -12 - -9)) + (-22 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*j**2 + 554*j**2 + 2*j**3 - 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*30\/8190*-39\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.78 in 5, 1\/4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 11*q**2 - 29*q + 119. Calculate the lowest common multiple of j(9) and 176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((2\/5)\/(-2)). Suppose 2 = -f + s. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 7}. What is prob of picking 2 l?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 60, 100, 176, 300?\n\"Answer: 2*g**3 + 2*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -141 in -0.1, -15, -15\/7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 16\/6. Suppose -8 = -3*i + 19. Suppose 3*h - i = 4*b, -4*b + 7 - 21 = 2*h. What is the closest to -2\/3 in h, -2\/9, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8 - 9 - x - 4. Let n be j(-6). Suppose -3 = -2*m - n. Which is the nearest to m? (a) -0.3 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.027 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1016*v + 1572. List the prime factors of k(15).\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 4*b = -44. Let d(o) = o**2 + 4*o + 2. Let x be d(b). Calculate the greatest common factor of 14 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - (4 - 2)) + (-3 - (-36 - -26)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let q(p) = -6*p + 6. Let z(d) = 3*d - 3. Let s(y) = -3*q(y) - 7*z(y). What is -3*j(n) + s(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 1060466511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4 + 1 + 28*c + 2. Let g be s(-5). Let y = 272 + g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 - 7*i. Let y be c(5). Let p = 16.5 - 123.5. Let k = p + 102. Sort y, k, 0.3.\nAnswer: y, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*b - 2752, -5*b - 909 = n - 221. Let k = 1249 + n. Is 51 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {z: 9, i: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -200 + 252266?\nAnswer: 252066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 29 = -104. Suppose -1 - 5 = 3*m + 2*d, -5*m - 5*d = q. Let p(k) = -k**2 - k + 4. Let a be p(m). Solve 0 = -2*f - f - a*u - 16, -2*u = 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14821 plus 70?\nAnswer: 14891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 23720.\nAnswer: 640440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223769000 a multiple of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -32*60\/(-280) + -7. Let q = 10\/9 - 64\/63. What is the third smallest value in u, -7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/2*(-12)\/18. Suppose 0 = z + 4*z - 10. Suppose -z*k + 20 = 3*k. Sort -1, c, k in descending order.\nAnswer: k, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.347543us?\nAnswer: 0.009347543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o + 14. Let w(y) = y**2 - 2*y - 9. Let l be w(5). Let g(t) = -11*t + 29. Let d(b) = l*g(b) - 13*m(b). What is the derivative of d(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h**2 - 23*h - 6. Let o(z) = 13*z**2 + 20*z + 5. What is 7*k(d) + 8*o(d)?\nAnswer: 20*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 + 5*u**2\/7 - u + 3\/7.\nAnswer: -(u - 3)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*n**3*q - 43*n**3 + n**2*q - 1021304*n**2 + 40687*n*q - n + 6*q - 1 wrt q?\nAnswer: 21*n**3 + n**2 + 40687*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-24))\/(46\/(-368))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 196528342507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01799 - 0.01799. What is the second biggest value in 17, -8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*b*n**2 + 247*b*n*s**3 - 56*b*s**3 - 9*b*s + 2*n**2*s + 26*s**3 + 3 wrt n.\nAnswer: 36*b*n + 247*b*s**3 + 4*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507.269 + 569.01404. Let r = 0.00504 - l. Let p = r - -61. Round p to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731656.8 rounded to the nearest 1000?\nAnswer: 5732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3 + 213*h**2 - 3*h**3 - 295*h**2 - h**4 - h**3 wrt h?\nAnswer: -24*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 6. Let s be x(-2). Suppose s = 5*n - 3. Let y(m) = -86999*m**2 - 4*m + 3. Let q be y(n). Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, j: 2, s: 2, w: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -1110110?\nAnswer: -1111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 3*g - 12. Let q be d(-4). Let l = q - -35. Let m = l - -28. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/30 - 3*h**3\/5 + 8*h**2\/5 - 2*h - 5. Solve y(q) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -27 (c) -1.4727 (d) -1 (e) -0.2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccckc. Give prob of sequence kck.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812089.\nAnswer: 457, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4404*d + 303859. What is v(-69)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 4*g**3 + 92*g**2 - 156*g + 72.\nAnswer: -4*(g - 3)*(g - 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21704067, -43408119, -65112171, -86816223?\n\"Answer: -21704052*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 15 = -2*j - 5*i, -i - 37 = -5*j. Suppose -4*w + 3*w = -j. Calculate the greatest common factor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 93. Let n(p) = -4*p. Give n(a(m)).\nAnswer: 8*m - 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -17 + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*l + 27*l - 9*l - 84*l.\nAnswer: -265*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - 165 - -76 - (-1 - 4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 16*b**2 - b - 6. Let m be c(-16). Suppose 972 = m*h - 32678. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -568.437495 to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -23 - (10 + 8 + -57)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 - 180. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + -11 - 2 - 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/154466 and 19\/57582?\nAnswer: 9731358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1012.99 + -1013. Which is the third smallest value? (a) 4 (b) k (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23282 or -2?\nAnswer: -23282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3273194 meters?\nAnswer: 327319400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7)\/r)\/r*r**(1\/16)*r assuming r is positive.\nAnswer: r**(-9\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/((-1225)\/(-40)))\/(3312\/(-504)))\/2\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*-1)\/(14\/(-6)). Let j = -40565\/3 - -54087\/4. Which is the closest to u? (a) -5 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Suppose -t + 7 + 31 = 5*w, -w - r*t + 2 = 0. Solve -4 - 9*u**2 - w*u**3 - 9*u - 2*u**2 - 9*u - 13*u**2 = 0 for u.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/9, 1394, -16\/231, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1435)\/(-5425) - (-2)\/(-10). What is the smallest value in 6, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -406 + 2?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 514 = -437*b + 872 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m - 3. Let k be a(3). Suppose 3*j + 2 = -13. Let g = j + k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -617 (b) -4 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -3*f, -3*f = -5*m + 13 + 21. Suppose -m + 10 = a. Solve -a = -3*c - 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 14) to base 4\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-3)\/(-105)*277. Let j = 216\/7 + r. What is the third biggest value in j, -2\/7, 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(11) - (0 + sqrt(704))) + -4)**2 + (sqrt(176) + (0 + sqrt(176) - sqrt(176)) - sqrt(11) - sqrt(132)\/(sqrt(24)\/sqrt(2))))*-1.\nAnswer: -1110 - 116*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 8. Let r be k(-5). Suppose 4*x = -7*n + r*n - 20, -3*x + n + 1 = 0. Let i(o) = -7*o - 1. Calculate the remainder when 17 is divided by i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 1402*v**2\/3 + 1405*v.\nAnswer: -v*(v - 3)*(v + 1405)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -39 - (-1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 784759880 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**4\/3 - 17*j**3\/6 + 6*j**2. Let l be v(3). Suppose l = 5*z - 3. What is the lowest common multiple of 5 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.1, -0.21 in descending order.\nAnswer: -0.1, -2\/11, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 18 - 36*c**2 - 41*c**2 - 7 + 17*c**2 as k*c + z*c**2 + t and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -807\/46 and -2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1331) + -3 + sqrt(1331)) - (sqrt(1331) - -2*(sqrt(1331) + sqrt(1331)*3) - sqrt(1331)))**2.\nAnswer: -1584*sqrt(11) + 191700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from uftmpufp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-728 - 10896*d + 21801*d + 2*d**2 - 10906*d)*(-d + 0*d - d)*(2*d - 3*d + 4*d) as u*d**3 + o*d + f*d**4 + g*d**2 + r and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:40 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 82*q - 4499. Determine a(55).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -4. Let c = y + 15. Solve -2*p + 3*r - c = 0, -2*p + r - 20 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n - 6 = 0. Let o be (8 + n)*9\/15. Calculate the smallest common multiple of 22 and 10\/4 + o\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/12*2\/(-4)*-4. Solve 8 = -k - q*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108838250 divided by 2\nAnswer: 54419125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-8.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/6 - 3*w**5\/2 + 15*w**4\/4 - 10*w**3\/3 + 20*w + 25. Let j(z) be the first derivative of a(z). Factor j(m).\nAnswer: 5*m*(m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 100 (b) 32.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 + s**4\/2 - 5*s**3\/6 + 8*s**2 - 20*s. Let g be m(-7). Suppose -g*f = -k + 50 - 20, 0 = 2*f - 8. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (25 + (-23730)\/504)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43044 - -10761031\/250. Find the common denominator of -23\/10 and r.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 0 + 0 + (4*k + 0*k - 2*k)*(-2 + 4 - 4) - 3542*k - 2340*k + 887*k as b + n*k and give n.\nAnswer: -5001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 18*g - 7*g + 8 - 7*g to a + d*g and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6416065716 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (248\/16)\/(-31)*72\/(12\/4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d + 8. Let h(m) = -3*m - 3. Let q be h(-3). Let t be j(q). Suppose -2*b + t = 3*b. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Suppose 5*s - 45 = -105. List the prime factors of s*(20\/(-8) - h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 19*g - 17*g - 542, 2*z + 281 = 3*g. Let t be (-38)\/z + (-18)\/112. Which is the second smallest value? (a) 0 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42371 - 5*b - 14674 + 10*b - 7*b.\nAnswer: -2*b + 27697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13753 + -2106?\nAnswer: -15860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*l**3 - 506*l**3 - 522*l**3 + 2052*l**3 - 512*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954638048?\nAnswer: 2, 3, 11, 29, 83, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -405, -398, -391, -384?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 + 2*q**3)*(-5*q**2 - 6 + 6 + (2*q**2 - 2 + 2)*(-2 + 3 - 2)).\nAnswer: -14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.91228141 rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -2776, 4 in decreasing order.\nAnswer: 4, -29, -2776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930.6563m to micrometers.\nAnswer: 930656300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**2. Let v = -28 + 33. Suppose f = -1 + 6, -2*w - v*f + 35 = 0. Let x(g) = 3636 + w*g - 3636. Determine x(b(u)).\nAnswer: -55*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 1 in descending order.\nAnswer: 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 - 5*h - 3. Let w be q(6). Let n = w - 6. What is the tens digit of (-3)\/(-9) - 41\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 196*s + 14 = -194*s, -4*c - 35 = -5*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/10 - (-3)\/(-5). Suppose u = -4*h, h - u + 1 = -4. Let a = h + l. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 16 (b) 47 (c) -32 (d) 0 (e) 0.1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/34 - 1331\/(-187). Suppose 466 = d*n + 25. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 5. Suppose -3 = -2*i + h, -3 = i - 6*i + h. What is the units digit of x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 167*v + 4738. Give p(-58).\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -27. Let a(c) = -c + 0*c + c + 3*c**d. Let s(g) = -g**2 + 6*g**2 - 3*g**2. Calculate a(s(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 195929099 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(-10 - (-1 + 26\/(-3))). Let l(b) = 2 - 3 + 0 - 2*b - b. Calculate l(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13185 or -13187?\nAnswer: -13185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*c + 92, 0*c + 4 = c. Let s(z) = 11*z**2 - 3*z. Let h be s(3). Calculate the highest common divisor of o and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igig when four letters picked without replacement from igggign?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(7\/6)*b*b*b*b**(-2\/3)*b*b)**11 assuming b is positive.\nAnswer: b**(165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*l - 7129160 = -96*l + 1442464. List the prime factors of l.\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*b**2 + 1\/10*b**3 + 0 + 11\/10*b.\nAnswer: b*(b - 11)*(b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 + 522566*c**3\/3 - 1896457324*c**2 + 2212006162*c + 9481270580\/3 = 0 for c.\nAnswer: -5\/6, 2, 21773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b6187 (base 14) to base 10.\nAnswer: -8506715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 960280 and 8.\nAnswer: 960280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 114 = -67*f + 68*f - 1, -5*i - 2*f - 190 = 0 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5859374, 11718813, 17578252, 23437691, 29297130?\nAnswer: 35156569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p + 900 + 594 - 213 = 0. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3641373 (base 8) to base 9.\nAnswer: 1783888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b - 6 = 0. Let f = 0 + -0.4. What is the nearest to 1 in b, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31780 = 2468*f + 116300 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 11, -45682, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**16)**(-5\/3)\/(i**(-3\/16)\/(i*(i**(18\/7)\/i)\/i)) assuming i is positive.\nAnswer: i**(8431\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6154, -6159, -6168, -6181, -6198, -6219, -6244?\nAnswer: -6273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63042.2 kilometers to millimeters.\nAnswer: 63042200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21238.605 nanoseconds in days?\nAnswer: 0.0000000002458171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819 and 247.\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1365 - 282 + 723 + 1336)*(i**4 - 2*i**4 - 2*i**4) to the form z*i**4 + o*i**2 + h*i**3 + p*i + u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**3 + 19322*v**2\/3 - 1610*v\/3.\nAnswer: -2*v*(v - 805)*(12*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 42 = -2. Suppose 0*q - 5*q + 4270 = l*z, 4261 = 5*q + 2*z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(520)*-1 - sqrt(520))\/(sqrt(40)\/sqrt(4)*6))**2*-2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*(-4310)\/25860?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, i: 1, a: 5, m: 3}. What is prob of sequence aamm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 26 = -2*d, -a - 5 = d - 4. Solve -2*f - d*w - 5 = 2*f, -2*w = -f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/30 - l**4\/6 - 49*l**3\/6 + 45*l. Let d(r) be the second derivative of b(r). Determine d(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, p: 6, v: 9}. What is prob of sequence ee?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -273\/229274 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c - 23*c**4 + 0 + 24*c**4 - 4 + 3 + 6*c**2 wrt c?\nAnswer: 12*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2987 - 2409. What is the remainder when f is divided by 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(11 + 126\/(-12))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4498*o - 368863. What is h(-82)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 j when four letters picked without replacement from jgjjjjjgjjjjjjjjjjgj.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 6) to base 15\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 1155?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-642*n + 642*n + 48*n**3)*(-2*n + 2*n + 2*n).\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -0.2, 0.1, -2, 149\/29, 3, 21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 37*t**2 + 6*t + 7. Let j(h) = 31*h**2 - 2*h - 1. Let r(q) = -32*q**2 + 3*q + 2. Let f(k) = 7*j(k) + 6*r(k). What is 7*f(o) - 5*u(o)?\nAnswer: -10*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12598\/(-140))\/((-87)\/8). Let u = -288\/35 + w. Let h = -328\/435 - u. What is the nearest to 1 in h, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(2*g + 0*g + g) + 8136 - 8136 + 113*g as p + f*g and give f.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 9*f + 264. Let x be (-2)\/(-2)*(-12 - f). What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 3. Let d(u) = 4*u + 3. Suppose n - 3 + 8 = 0. Let i(h) = n*d(h) + 4*m(h). Calculate i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*39781\nAnswer: 119343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 - 20*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -162, -98 in increasing order.\nAnswer: -162, -98, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/63720270 and -49\/229392972?\nAnswer: 1146964860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*q = -410, 5*g - 4*q = -7*q + 426. Let a = g - 673\/8. Let b = -5477\/15 - -365. What is the nearest to 0.1 in -1, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 10\/21*j**2 + 4\/21*j + 0 + 2\/21*j**3 - 10\/21*j**4 - 2\/7*j**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25160 (base 7) to base 10.\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/3 (b) -3 (c) 4767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286890 divided by 1.\nAnswer: -286890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 - 7*a - 9. Let l be n(-6). Let t = -362.18 - -361.68. Sort l, -0.42, t in descending order.\nAnswer: -0.42, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*n - 4*f, -4*n - 3*f + 5*f - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*x - 5, -7 = -q - 3*x + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 2*c**2 - 54 - 61.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2579 - 2389. What is the lowest common multiple of k and 2?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -117. Solve -3*n - i = -s, -3*s + 2*s - 4*n = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2 + 2*q**2 + 5*q + 0*q - 2*q + q. Let c be z(-2). What is the second derivative of x**4 + c*x - 5*x + 2*x - 4*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*l + 40*l + 371. Let d = -150 - -250. Suppose -l*v = -11*v + d. What is the greatest common divisor of v and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 538779?\nAnswer: -538775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let z = 1.5 + n. Put 5, 0.2, z in increasing order.\nAnswer: z, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -5\/309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -281 + -6?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + -0.02. Let n = -438 + 7448\/17. Are n and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 33 - 35 = 0. Let i = a - -22. Solve -2*v + 6*v + 26 = -3*u, 25 = -i*u - 3*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 + 15*n + 7528. Let y = -18 - -10. Give f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 215 = 84 - 107. Solve f = -2*m + 5*k, m - 2*k - k + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -8, 7 in increasing order.\nAnswer: -8, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from zazaaaaaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 6316.\nAnswer: 88424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 41173\/418 + 2\/8*2. Solve -h = -20*y - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, g: 2, t: 2, w: 1}. What is prob of sequence tr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125, -468, -1039, -1838, -2865?\n\"Answer: -114*y**2 - y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9489, 11153, 12817, 14481, 16145?\n\"Answer: 1664*w + 7825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 + 19*p - 9. Suppose -13*q = 4*q + 459. Let s be 11\/((-22)\/q)*4\/(-6). What are the prime factors of o(s)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*a - 22, 8 + 12 = 4*a. What is the closest to -4 in t, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y + 3*i, 0*y - 2*y + 10 = 4*i. Let o(s) = -8909*s**2 + 649. Let z(r) = -55*r**2 + 4. Let w(p) = 4*o(p) - 649*z(p). Is w(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -23, 2, 5, 25 in ascending order.\nAnswer: -23, -7, 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(117) - sqrt(117)) + -2*1*sqrt(117))\/(sqrt(81) - (-1*sqrt(81)*1 + sqrt(81)) - (sqrt(81) - (sqrt(81)*1 + sqrt(81))*-4)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 times -0.67?\nAnswer: 67.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 - 14 = 0. Let w be (-8)\/(-32) - 14\/q. Solve w*y - 2*b + 8 = 0, -2 = -y + 2*b - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0210938*-13.\nAnswer: 0.2742194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(363) + sqrt(363) + (-1 + sqrt(363))**2 + sqrt(363))*3.\nAnswer: 33*sqrt(3) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -40. What is the greatest common factor of 100 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/41768 and -1\/1816.\nAnswer: 41768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*y + 3*y = -13, -114 = 152*c - 3*y + 191 + 175 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63547\/10 greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*1\/4)\/(2\/(-16)). What are the prime factors of (3*(-205)\/(-30))\/(2\/q)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4894, 39214, 132360, 313744, 612778?\n\"Answer: 4902*w**3 + w**2 + 3*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*h - 210 + 190, g + 8*h = 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.5032 hours in minutes?\nAnswer: 17070.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6 - 16 + 26*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10393 is divided by 53.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57530, 57848, 58166, 58484?\n\"Answer: 318*n + 57212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 161360 and 161359 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - 6*b + b - 2*b + 0*b + b + (-2 + 4 - 1)*(-b - b + 0*b) - 5*b + 0*b - b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -0.141.\nAnswer: -4.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 4c?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 - 5*a**3\/6 - 12*a**2 + 9*a. Let y be l(8). Solve -5*q + 2*w + 1 - 19 = y, 4*w = -2*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*r + 8 = 167*r. Let s(l) = l + 1. Let p be s(3). Suppose -p*g - 1 = 3. Put 5, r, g in decreasing order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 6*o + 4*o)*(1 + 5 - 4)*(-3 - 3*o + 3)*(2*o + 0*o + 0*o) in the form u*o**3 + v*o**2 + j + n*o and give u.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 + (-108)\/(-120).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/5889 and -63\/130.\nAnswer: 58890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 43. Let w(i) = 1 - r - i + 4. Give w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 15 = 4*c, 3*b - 22*c + 23*c = 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5481819?\nAnswer: 3, 7, 87013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + (5 - -5) + (0 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/2*(-2)\/4. Suppose -f*u = -7*u - 600. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8194 and 12532.\nAnswer: 213044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -498, -544, -596, -654, -718?\n\"Answer: -3*k**2 - 37*k - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.836 - 0.175.\nAnswer: 0.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1089)*-2)\/((sqrt(300)*-3 + sqrt(300) + sqrt(300) + sqrt(3))*1).\nAnswer: 44*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/6 - 2*h**2 - 5*h. Let b be x(-8). Suppose 5*k + 2*w - 177 = 5*w, 3*k - b*w = 104. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9486419 is divided by 2836?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -2 + -4 + 0 + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 5. Let k(v) = 9*v + 36. Let o(b) be the third derivative of -b**3\/6 - b**2. Let s(i) = -k(i) - 45*o(i). Give -6*s(f) - 11*y(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.556 (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2*f - 30 = 0. Let o be (16\/6)\/(-1 + f\/3). Find the third derivative of -29*m**5 + 135*m**o + 27*m**2 - 135*m**4 wrt m.\nAnswer: -1740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/464 and -1\/121472.\nAnswer: 3522688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 17*b**2 + b + 25. Let u be s(-17). What is the greatest common divisor of u and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.7. Let x = -27 + 31.5. Let d = 4 - x. Which is the closest to 0? (a) d (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1 - 11*y + 0 + 10*y + 3*y. What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(396) + 0 + 0 + 1 + sqrt(11))**2.\nAnswer: 56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 28 = 4*o, -4*o + 65*v - 25 = 68*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 38. Suppose -4*n = -9*n + 690. What is the remainder when n is divided by l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:33 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129031055\/3696 + 34911. Let y = -9547\/3696 - i. What is the common denominator of ((-445)\/180)\/(2\/(-4)) and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h. Suppose 3*n = -n + 8. Let o(b) = 4*b**n - 5*b**2 + 2*b**2 - 2*b**2. What is o(v(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.4252km in millimeters?\nAnswer: 123425200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 7*q + 6. Let c be n(6). Suppose c = 4*w + w. Suppose -5*l + 0*l + 95 = w. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071155423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360280 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.01, 0.012, 15, -11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150955 and 5320.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24ac (base 13) in base 8?\nAnswer: -12134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65204.92 meters to nanometers.\nAnswer: 65204920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 459, 4 in ascending order.\nAnswer: -5, 4, 5, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3371? (a) 0.05 (b) 5 (c) -0.4 (d) -1\/4 (e) -1\/5 (f) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/3120)\/(1\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose -40 = -q*i - 8. Let v = i - 12. What is v rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 321280 and 5020?\nAnswer: 321280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 46. Let t = -13.1 + k. What is the biggest value in t, 12\/7, 2\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/((-8)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*a - 275, 0 + 9 = -3*a. Let c = t - -613. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27966, 27973, 27984, 27999, 28018, 28041?\nAnswer: 28068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 18*p**4 + 15880998*p**3 + 10587326*p**2 + 1764554*p = 0.\nAnswer: -882277, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-7))\/y**(-8))\/((y\/y**(3\/5))\/y**(-11)))**(-5\/13) assuming y is positive.\nAnswer: y**(47\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*r + 25, 4*r - 5 = r - 2*f. Suppose 0 = -r*m + 5*m + 14. Let b(v) = v + 7. Let u(p) = 3*p + 22. Let g(t) = -14*b(t) + 4*u(t). Calculate g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3118692, 3118699, 3118716, 3118749, 3118804, 3118887?\n\"Answer: j**3 - j**2 + 3*j + 3118689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m - 2 + 0*m - 8*m + (-3*m + 2*m + 3*m)*(1 + 1 + 0) - 4*m + 2*m + 6*m.\nAnswer: 9*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8533619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 0. Let n(t) be the second derivative of -t - t**2 + q + 1\/3*t**3. Differentiate n(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2 - 2)*(4*r - 3*r - 2*r) - 2*r**2 + 43*r - 82*r + 6 + 30*r to j*r**2 + q*r + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 38*m + 16*m - m**3.\nAnswer: m**3 - 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (411\/(-158))\/(2*-1). Let z = p + -4\/79. Let i = -11.6 - -12. Sort -0.2, i, z in decreasing order.\nAnswer: z, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -23*j + 3*a + 18, -5*j + 28 = a. Suppose -14*y + j*y + 128 = 0. Solve -y = 3*r + r - 4*n, -3*r = 2*n - 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 + 2*j**2 + j + 3. Let k(o) = -3*o + 5. Let i be k(4). Let t(b) = -11*b**3 + 5*b**2 + 3*b + 7. Calculate i*g(c) + 3*t(c).\nAnswer: 2*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let p(l) = -4*l - 3. Let k(q) = -6*g(q) - 2*p(q). Let d(x) = x**2. Determine k(d(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011111110 (base 2) to base 4.\nAnswer: 203332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636, -1785, -3720, -6459, -10020, -14421?\nAnswer: -19680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*t**3 - 261*t**3 + 164*t**3 + 2 to the form p*t**3 + k*t + l*t**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2538, 2358, 2058, 1638, 1098, 438?\n\"Answer: -60*x**2 + 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 7*v - 3. Let o be n(6). Suppose -2*y + o*w = 16, 10 + 4 = -3*y + 2*w. Let h be ((-8)\/6)\/(1\/(-3)). Sort h, y, -3 in increasing order.\nAnswer: -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**6\/5 - p**5 - 7*p**4\/6 + 4*p**3\/3 + 4*p**2 + 6*p. Let i(q) = 0. What is q?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*g - 36, 2*g + 163 = 5*i + 5*g. Suppose i*d = 35*d - 30. Solve -5*b + 4*a - d + 30 = 0, -2*a = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18038 + -16848. Calculate the highest common divisor of 84 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/60*2*2\/(-24)*-10?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*c**2 - 182 - 108 + 290.\nAnswer: 624*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-6))\/(-6*6\/216). Let a be 20\/90 - 25\/d. Solve -19 = -3*g - 4*j + 3*j, -3*g - a*j + 27 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/48*35\/14. Which is the fourth biggest value? (a) n (b) 0.2 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22589, 22582, 22573, 22562, 22549?\nAnswer: 22534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*d**2*l*u**2 - d**2*l + 9*d**2*u**2 - 6*d**2*u - 269*d*l*u - 94*u**2 wrt u?\nAnswer: -504*d**2*l + 18*d**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011110101000110 (base 2) to base 4.\nAnswer: 223311012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (0 + 75)\/(18 + (-20112)\/1120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:46 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.2 - -9.8. Which is greater: k or 0.13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c**3 + 2*c**2 - 2*c - 2. Let s be p(-2). Suppose -5*u - s + 8 = 0. Let o be (-16)\/30*u\/24. Sort -0.3, o, -3.\nAnswer: -3, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47015597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 2, c: 2, r: 4}. Give prob of picking 2 p and 2 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpysq. What is prob of sequence sqp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208\/319 + 105\/29. Let v be 15\/3 + 0\/(-2). Calculate the common denominator of f and v\/7*(-7)\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -118*y**4\/3 + 108*y**3 + 75*y**2 - 2. What is the first derivative of x(h) wrt h?\nAnswer: -944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 276 + -241. Let b = a + -42. Let g(t) = 2*t + 9. What is g(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c**2 + 57*c**2 - 3768 - 10*c**2 + 3768.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -12. Calculate the greatest common factor of 24 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/13))*h*h**15)**(3\/13))**(-5) assuming h is positive.\nAnswer: h**(-3150\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.1932 - 8?\nAnswer: 112.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3352 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 19*x = 3*s + 2 + 3, -2*s - 3*s = 5*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4\/7))**20*(j**(5\/4)*j)\/(j\/(j**(2\/13)\/j)) assuming j is positive.\nAnswer: j**(11587\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21936 = -a - 5826. What is a rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*l**4 + 845 - 845 + 2*l**4 - 4*l**4 + 3*l**4 + l**3 + 2*l**4 - l**3 + (3*l**2 + 3*l**2 - 4*l**2)*(l**2 - 2*l + 2*l).\nAnswer: 159*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8380, -67161, -226708, -537403, -1049628, -1813765?\n\"Answer: -8397*o**3 - o**2 + o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13949 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1368280, 1368467, 1368654, 1368841, 1369028?\nAnswer: 1369215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499000 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22523, 4, 0.23 in ascending order.\nAnswer: 0.23, 4, 22523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/60 - n**4\/3 + 7*n**3 - 59*n**2\/2 + 37*n. Let h(y) be the first derivative of a(y). Differentiate h(x) wrt x.\nAnswer: -2*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 9. Let q be (1\/(-7))\/((-191)\/(-764)). What is the closest to 0 in a, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/(-6)*12\/8. Let y be 1\/(-6)*v\/(-20). What is the nearest to 0 in -2, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5 + (1*sqrt(128))**2 - -4*(sqrt(128) + sqrt(128) + 1)) + (sqrt(128)*-1 - (2*sqrt(288))**2)).\nAnswer: -4060 + 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/15 + 12*w**4\/5 + 286*w**3\/15 + 32*w**2\/5 - 1184*w\/15 + 256\/5 = 0.\nAnswer: -4, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/72*1*-3. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388650, -1388655, -1388660, -1388665, -1388670?\nAnswer: -1388675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2034.905029 to the nearest integer.\nAnswer: -2035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d2eed (base 15) in base 14?\nAnswer: 22c7107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10037*w**2 - 949*w + 612. Let h(n) = 1673*n**2 - 158*n + 108. Let o(m) = 34*h(m) - 6*z(m). Find the second derivative of o(t) wrt t.\nAnswer: -6680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -134746*n**2. Let g(x) = -x. Give g(i(p)).\nAnswer: 134746*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163908 and 2862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**3 + 2*d**2 + 3*d + 6. Let l(q) = 4*q**3 + q**2 + 2*q + 3. Let m(c) = -5*l(c) + 2*s(c). Suppose 5*w = 3*h - 16, -2 = 5*w - 4*h + 16. Give m(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/((-3)\/(-16)). Let h = -6 + l. Suppose -s + 4*d = -d - 18, 3*d + 3 = -h*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))**(21\/8)*(a**(3\/4))**0 assuming a is positive.\nAnswer: a**(147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddjz when four letters picked without replacement from {z: 5, j: 1, a: 4, d: 2, r: 2, x: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4\/25))**45)**(-1\/8) assuming p is positive.\nAnswer: p**(-261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10496436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21007065*k - 3*k**2 + 21007065*k + 6*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-9))\/((-460)\/(-24)). Let m = 1156\/1035 + y. Find the common denominator of 151\/6 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from oqdparap?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-162)*9)\/((-10)\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/17, -3, -13820, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -18. Let q be (3 + -2 - -11)\/1. What is the highest common divisor of q and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 3*u. Let i be (20\/15)\/(4\/u). Let k(y) = -5 - 4*y + y**3 + 3 - 1. What is k(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045492 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: Let z = -10.4 + 265.4. Let q = z + -255.00543. Round q to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111*w**3 + 1783956*w**2 - 323648219 wrt w?\nAnswer: 333*w**2 + 3567912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {u: 1, c: 1, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4 (c) -1\/4 (d) 80 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 16684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 3. Let y = 5 + 0. Let h be r(y). Is 7*(h\/(-1) + 3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.71595 + -22.75944. Let p = -0.00539 - b. What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.3 (c) -58.14 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68387533 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -38. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = -14 + 58 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 190\/(-16) + (-10)\/(-48) + 457\/(-1371)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -502*x**7\/21 + 514*x**4\/3 - 25*x - 45. Find the third derivative of o(r) wrt r.\nAnswer: -60240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 137 = -2*q, -v = -2*v + 5*q + 125. Suppose -2*a = 3*a - v. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 343491.8922 and -0.3?\nAnswer: -103047.56766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4886214 nanometers to kilometers.\nAnswer: 0.0000000000004886214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 439*s + 9*s**2 - 2 + 512*s + 0 to g*s**2 + b + x*s and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4\/2 + 45*l**3\/2 + 261*l**2\/2 - 645*l\/2 + 171 = 0.\nAnswer: -6, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - h**4 + 4*h**4 + (-3*h**3 + 14 - 14)*(-4*h + 0*h + 0*h) + (-2*h - 2*h**4 + 2*h)*(2 - 6 + 2).\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-3 - 0))*39\/208. Which is the nearest to -2? (a) -0.3 (b) -19 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + 13. Suppose 5*y = 92 - z. Let i = 6 + -2. Solve -y = 4*h - i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 258, 0, 3, 1 in ascending order.\nAnswer: -1, 0, 1, 3, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 146891671*f - 65995. Let i(u) = -13355*u + 6. Determine 65995*i(b) + 6*q(b).\nAnswer: -13199*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**2 - 539*b**2 + 1351*b**2.\nAnswer: 763*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(-108)\/162. Which is the nearest to 4? (a) w (b) 0 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 632*n - 8870. Let s be d(25). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*y - 57*y - 1 + 4*y**4 - 26*y in the form m*y**2 + f*y**4 + b*y + j*y**3 + p and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 18.8. Let y = -16 + c. What is the second biggest value in -4, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -402 and 0.149.\nAnswer: -59.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3.5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100110 (base 2) in base 10?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-1)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -9.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135621723 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3863587.08 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 9. Let u = -28 + 35. Let a = -11 + u. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1347ca (base 15) to base 5.\nAnswer: -214122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 3*g**2 - g**2)*((-3 + 6 + 0)*(-10 + 12 + 13) - 27 - 40 - 1) as w + i*g + y*g**2 and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506880 divided by -84480.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*v - 46*v - 1680 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -124*u - 673. Give y(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 88868*g + 4881690.\nAnswer: 2*(g - 44379)*(g - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1164 - -1273. Solve 9 = -50*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -396, 2 in decreasing order.\nAnswer: 2, -5, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.5, 12, 0, -4\/13, -4 in descending order.\nAnswer: 12, 0.5, 1\/4, 0, -4\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 0*b + 11*b in the form v + f*b and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -384829993.\nAnswer: 76965998.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**5 - 539*u**4 + 17*u + 9*u**5 + 3*u**5 + 597*u - 15*u**5 wrt u?\nAnswer: 20*u**3 - 6468*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3990809, 3990811, 3990815, 3990821, 3990829, 3990839?\nAnswer: 3990851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3194735 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w + 28*w = 112. Let v(n) = 6*n + 2. Let y = 13 + -7. Let h(q) = -7*q - 3. Let d(x) = y*v(x) + 4*h(x). Calculate d(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + 1 + (-1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 8*p + 3. Let z be a(11). Suppose n = 4*n + z. Let m be 8 + n - 18*11. Round m to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826297 divided by -1.\nAnswer: 826297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + 1 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 12, -4*s + 876 = 5*r. Let j be 1\/(-2)*54\/(-45)*5. Suppose n = 5*t - s, -j*t - t + 176 = 4*n. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n*s**5 - 2385979*n*s**2 - 6*n*s - 23*n - 2816*s + 1 wrt s?\nAnswer: 80*n*s**3 - 4771958*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/15 and -16\/623349?\nAnswer: 3116745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11*w - 25. Let q be t(11). Let a = 19 + -15. Suppose a*z = q + 8. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 16. Let t = 38 - 36. Suppose y = -t, 7*y - g*y = -3*m + 19. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 - -5.15. Suppose 9 - 1 = -2*u. Let l = 9 - 14. What is the third smallest value in l, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60 + 11de86?\nAnswer: 11dee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*194*1*((-591)\/(-5122))\/(36\/78).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 2*f)*(2*f**3 - 2*f**3 + f**4) - 1 + f**5 + 1 - 5403*f**5 + 14449*f**5 - 2354*f**5.\nAnswer: 6694*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -505075550.\nAnswer: 505075553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -11, -7, -1, 2 in ascending order.\nAnswer: -116, -11, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 + 2*z + 1. Let s(h) = 6*h - 3. What is the remainder when b(2) is divided by s(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -15*c - 10. Is 13 a factor of (-6)\/(-9)*33 + c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 8:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuz. Give prob of sequence uzu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -91. Suppose g*f + 951 = 11*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1529901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 63. What is the greatest common factor of 969 and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/7 - 54*f**2 + 5011*f\/7 + 5394\/7.\nAnswer: (f - 58)*(f + 1)*(5*f - 93)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 106 - 0)\/(0 - -1). Round t to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*11\/(-11)*15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-2\/39)*a*a)\/a)**10*a**(-36)\/(a*a**(7\/5)) assuming a is positive.\nAnswer: a**(-1738\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -88. Is 11 + -9 + d + 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*a + 174938 - 498033 = 0, -161546 = -y + 3*a. Let j = 90546 - y. Let g = j + 124009. What is g rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-2\/13))))\/v*v**(-11)\/v)\/(v**(-37)\/(v*v**(2\/49))) assuming v is positive.\nAnswer: v**(16490\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-10)\/25*(-1)\/2. Sort 56, 5, l in decreasing order.\nAnswer: 56, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 - 5*u + 6. Let y be q(4). Suppose 5 = -f + y*b + 4, 4*f + b + 4 = 0. Does 13 divide 4*(57\/(-6))\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/14 and (-64)\/70 + 2 - (15 + -16)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 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: Calculate prob of sequence if when two letters picked without replacement from wiwqwwwifffywfwwfwf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3\/3 - 5*n**2\/2 - n + 170. Let p = 8 + -5. Let v(k) = k**2 - 4*k - 1. Give p*y(a) - 4*v(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278819515.\nAnswer: 3, 5, 7, 139, 193, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34587, 69145, 103703?\n\"Answer: 34558*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j - 4. Suppose 4 = 3*m - 11. Suppose m*d - 17 = 8. Suppose d*k = 3*k - 8. Calculate c(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*r + 47*r - 1208188 = 0. Is r a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153685 is divided by 3745?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 570*s - 237*s**6 - 2*s**2 + 1553*s**6 + 1076*s - s**3 - 119*s**6 - 362*s wrt s?\nAnswer: 143640*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128880748.\nAnswer: 2, 32220187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-4)\/1). Which is the closest to 5\/42? (a) -5 (b) -0.03 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + sqrt(75))**2)*-2.\nAnswer: -170 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/64 and 73\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 9 - 225. Does 39 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 640*j - 4 = 641*j, 0 = -5*q + 4*j + 24 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/44 (b) -2253.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15969 - 7813 - 15033)*(-k**4 - 3*k + 3*k + (0 - 2 + 3)*(-2 + 2 - k**4)) in the form z + v*k**4 + w*k**3 + s*k + i*k**2 and give v.\nAnswer: 13754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**4 + 161*f**2 - 161*f**2 - 8*f**3 + 17*f**3 + 2 in the form c*f + m*f**3 + x + g*f**4 + v*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.7 - 0.7. Let u = 6.5 - t. Which is the nearest to -1? (a) 0 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-147)\/(-12) + (-3)\/12. Let c = -13 - -24. Differentiate -a + y*a**3 + a + a**3 - c with respect to a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5076 = 5*y + 8199. Let x = -1066 - y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 10*q**2 + 2*q**2 + 4*q**2 + 4*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 39*q. Let b(s) = -98*s. Let m(a) = 2*b(a) + 5*r(a). Let v(z) = 626*z - 2. Give v(m(u)).\nAnswer: -626*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2213312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = l, 0*d - 3*d = 0. Let t = -2266 + 2268. Solve t*k - 2 = -l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 39*x - 49 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2 + -1 + 3 + (sqrt(720)*2 - sqrt(720)))**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 - 148*c**4 - 280*c**3.\nAnswer: -4*c**3*(c + 2)*(c + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3336, -13331, -29988, -53307?\nAnswer: -83288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1374 - 1369. What is the nearest to -11 in l, 3, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.6 and -0.1792.\nAnswer: -2.25792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 7974?\nAnswer: 7974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 9. Let h(v) = -5*v + 8. What is -7*h(j) - 6*q(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 110?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:20 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74747072 to the power of 1\/2, to the nearest integer?\nAnswer: 8646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.064 (b) -2 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 16*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(2\/13)*p)*p)\/p)\/p)\/p**(2\/9))\/(p*p**(-1)*p)**(1\/2) assuming p is positive.\nAnswer: p**(-439\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 69234336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d90 (base 15) in base 16?\nAnswer: -829b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14465995, -28931986, -43397977?\nAnswer: -57863968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319413401.\nAnswer: 319413401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8783, 17539, 26265, 34961, 43627?\n\"Answer: -15*n**2 + 8801*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10988 + -461467\/42. Let d be (-53)\/(-14)*(-78)\/9. Let b = h - d. What is the common denominator of b and 97\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0 = -m + 6, -2*m + 2*g + 6 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*r**5 + 8*r**4 + r**3 + 6967*r.\nAnswer: -1500*r**3 + 96*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 335, -0.2, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8259149 millimeters to meters.\nAnswer: 0.0008259149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -679 by 1096577.\nAnswer: -679\/1096577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*o - 1 + o)*(-17*o**3 + 8*o**3 - 10*o**3).\nAnswer: 38*o**4 + 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17952 divided by -561.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20530.3 - -20530. Which is the fourth smallest value? (a) -0.2 (b) k (c) 5 (d) 2 (e) -122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/40 + o**5\/2 - 33*o**4\/2 + 108*o**3 - 2*o**2 - 2279*o. Determine f, given that r(f) = 0.\nAnswer: -18, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33264200 divided by -4158025.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a32 (base 11) to base 15.\nAnswer: -c300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 121, -5, -114, -1 in ascending order.\nAnswer: -114, -5, -1, 2, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 35 = -18*d. Let j(h) = -h**2 + 8*h - 11. Let s be j(2). Sort d, 3, s in decreasing order.\nAnswer: d, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*f**5\/3 + 30785*f**4\/3 - 141785*f**3\/3 + 199000*f**2\/3 - 25500*f = 0. Calculate f.\nAnswer: 0, 5\/8, 2, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Let f = -44 - -134\/3. Let o(b) be the first derivative of 0*b - 3 + 0*b**2 - f*b**3. What is d(o(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306877 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: Which is the second biggest value? (a) 0.3 (b) 66686\/7 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p + 4. Let d be 6*(9\/6)\/1. Let k = 13 - d. Does 12 divide f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2638 rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 384, 3269 in decreasing order.\nAnswer: 3269, 384, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 289585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.2 (b) 5\/11 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**2)**(-8\/3)*(h**1\/h)**(-10) assuming h is positive.\nAnswer: h**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -56*c**2 - 141*c**2 + 42*c**2. Let q(l) = l**2. Give g(q(p)).\nAnswer: -155*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + d = 0, 0 = -s + 2*d - 3*d. Suppose s = -3*l - 7 + 100. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 16*b - 286. Determine r(16).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/(x**35\/x))\/x)*x**(-2\/43)*x**(-6\/5)\/(x\/x**18) assuming x is positive.\nAnswer: x**(10912\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 368 - 360 - 16\/2. Let j = -2\/83 + 253\/166. Which is the closest to j? (a) i (b) 1 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 739 = 7*m. Let y be (-44)\/m*(2 - 5\/2). Which is the nearest to 2\/5? (a) y (b) 2\/3 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x - 2*p, -9*x - 23 = -14*x - 3*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6166361 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -742, -428, -4, 530, 1174, 1928?\n\"Answer: 55*s**2 + 149*s - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, -1, 1\/4, -2\/5, -17412?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + n + 1. Let f be l(2). Let j = 4 + f. Solve 21 = -4*x + j*z, 3 + 0 = -5*x - 4*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11847 and 821751.\nAnswer: 9039261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f + 36*f - 8*f)*(-6*f + 2 - 2).\nAnswer: -294*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*n + 7, -3*m + 4*n = -n - 10. Suppose j + 25 = -5*w + 275, -m*j = 4*w - 200. Let p = w - 57. Are -0.06 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1001?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + 45\/12. Suppose -49 = -4*f + 3*z, s*f = 5*f + 5*z + 5. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -553*v + 163. Let k be m(-6). Suppose -5*i + 4*y - 1111 + 9806 = 0, -2*i + y = -k. Does 83 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 42 = 3*q - w + 94, -w = 25*q - 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 16*i - 11. Let t(z) = -3*z + 2. Let d(r) = 2*s(r) + 11*t(r). Let o(h) be the third derivative of h**5\/60 - 29*h**3\/6 + 3140*h**2. Determine d(o(g)).\nAnswer: -g**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from dovodoodggvodgvovg.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1584) - (5 + sqrt(1584) + -2) - (sqrt(1584) - (-2 + sqrt(1584) + -2))))**2*-6.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18329 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 106?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b = 66*b. Is b less than 1\/536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17512800661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.72 rounded to the nearest integer?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*58\/232?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(847)*1)**2 - (4*((-1 + sqrt(847))**2 + sqrt(847)) + sqrt(847))) + -2.\nAnswer: -2542 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -17 (c) -11644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let y(g) = 1041*g + 2084. Let t be y(-2). What is the nearest to t in 0, -1, h, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.99 - -0.01. Let q = -258 + 259.45. Let f = q + -0.95. What is the nearest to -0.5 in f, t, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04016 to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, b: 1, v: 3}. What is prob of sequence ix?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 7*w - 2*w**2 - 3*w - 4. Let p(r) be the second derivative of -r**4\/12 - r**3 - r**2 - 102*r. What is -6*m(h) + 11*p(h)?\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -626 + 632. Let v(c) = 2*c**3 - 4*c**2 + 6*c + 2. Let f(o) = -o**2 + o. Suppose 17 = -5*j + 3*d, j + 5 = 4*d - 3*d. Determine j*v(y) + x*f(y).\nAnswer: -2*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(13 + -7). Suppose -v*d - 9 = 0, -u + 44 = -d - 3*d. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*u - 0*u + 33, 5*x - u - 31 = 0. Let m(k) = -k**3 + 5*k**2 + 12*k + 5. Calculate the remainder when 122 is divided by m(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2738168 divided by 2\nAnswer: -1369084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -778*i - 7. Let t(j) = 385*j + 4. Give 4*b(w) + 7*t(w).\nAnswer: -417*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1018088 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 26*g + 34. Give l(26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 7d?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*-5*(-102)\/(-2720).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2472733421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p - 240. What is the lowest common multiple of 50 and y(18)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 11. Suppose -9 + y = n. What is the remainder when (1\/n)\/(1\/(-51)) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 22*a - 29*a)*(2 - 2*a**2 - 2).\nAnswer: 14*a**3 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3 + 22*g - 23*g - 4 - 1. Let f be -8 + (-1)\/1*1. Let p be d(f). Calculate the highest common factor of 63 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + 2*m + 4. Let s be f(4). Let o be ((-9)\/s)\/(-1*3). Determine t, given that -1\/4*t + o*t**2 - 1\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 2*n**2 - 1. Let f(j) = -6*j**3 - 9*j**2 + 2*j + 4. Let d(t) = f(t) + 5*h(t). Give d(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2049, 3 in decreasing order.\nAnswer: 3, -5, -2049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {e: 7, f: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 5, -4\/791, 29 in descending order.\nAnswer: 29, 5, 2\/17, -4\/791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 334242015 (base 6) in base 16?\nAnswer: 5cdf3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-2)\/2)\/(6\/(-9)). Suppose 35 = 4*t + h*t. Solve -t*p = -5, -z - 2*p + 6 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2940, 11092, 24678, 43698, 68152, 98040?\n\"Answer: 2717*m**2 + m + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Let f(v) = 3*v - 2. Let j be f(y). Suppose 3*b = j*b - 16. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/(((-2191)\/(-455))\/313).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15 and 101\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2.5. Let p = w + 1.5. Let t = -3 - -22\/7. What is the third biggest value in p, t, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00862 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j. Let t = -404 - -434. Let p(o) = 11 + 10 + 37*o + 9 - t. Determine p(y(k)).\nAnswer: 148*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56 + -3c2?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4151*h**3*p**3*y**2 + 149*h**3*p*y**3 - 1683*h**2*y**2 - 2*h*p*y**3 - 64*p**3*y**3 wrt h?\nAnswer: -24906*p**3*y**2 + 894*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - (-80)\/(-72)) - (9200\/(-1710))\/20\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -26. Suppose -3*g + q + 2 = 0. Let s be 8\/(-12)*-4*(-3)\/18. Put s, g, 5 in descending order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((((f\/f**(1\/2)*f*f)\/f)\/f)\/f))**(-12\/7))**1)**0)**(-22\/9) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100 + 101001111111?\nAnswer: 101100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 - -0.09.\nAnswer: 184.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 10*z + 8. Let q be j(-8). Let d(v) = -v**2 - 8*v - 4. Let y be d(q). Let u(x) = -x**3 - 5*x**2 - 5*x + 4. List the prime factors of u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/86499?\nAnswer: 1\/86499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29548, 60313, 91078, 121843?\nAnswer: 152608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 410 and 422.\nAnswer: 86510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1535496 and 42744.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379838 and 911399?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 + -2 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/217 - 1293060\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -42*u - 330. Let j be g(-8). Let a(m) = -9*m**3 + 6*m**2 - 2*m + 6. Let i(h) = 8*h**3 - 5*h**2 + 2*h - 5. What is j*i(r) + 5*a(r)?\nAnswer: 3*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 14 = 2*g, 5*r + 3*g = 2 - 25. What is the second biggest value in 1, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2846 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -0.009, 9, 8 in ascending order.\nAnswer: -0.009, 8, 9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -76, -116, -156?\n\"Answer: -40*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 2*y**2 - 1795 + 8*y**2 + 7*y**2 + 11*y**2 - 39*y**2.\nAnswer: 2*y**2 - 1795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 499. Let l(o) = -56666*o. What is l(r(m))?\nAnswer: -56666*m + 28276334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*r = -r - 440, 5*j - 5*r - 1105 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 5*q + 2. Suppose 3 - 17 = -2*d. Let j = 4 - d. What is the units digit of n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 9. Suppose 0 = 1241*h - 1250*h + 18. Calculate the remainder when h is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110 - -11011011011101?\nAnswer: 11011010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/6 - 5*a**2 + 261*a. Let u(p) = -461*p. Give y(u(z)).\nAnswer: -2125210*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3 + 5827704*q**2 + 2122714954980*q + 59431449907312 = 0.\nAnswer: -728449, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 4987 = -5*o - 7*c, 0 = 2*o + c - 1996. Let z = o + -542. What are the prime factors of z?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123231406?\nAnswer: 2, 223, 521, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/14)\/((-19)\/38).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.6. Let r = -2.3 - -6.7. Let w = r - l. Round w to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02687904 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1892205753 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*y = -7, -4 = 6*g - 7*g + 2*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121112 - -20200201101?\nAnswer: 20200002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 45*o - 60*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 19c73?\nAnswer: 19c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -22203333?\nAnswer: -22203322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*r + 2755 - 2435. Let f be 3*(-2)\/3*(-190)\/20. Solve 4*x + 0*x - 3*u - f = 0, 20 = -r*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 2330 + 7970 = 0. Round z to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 67519 + 2*z - z - 67523. Let d(t) = -t**3 + 6*t**2 + 17*t - 5. Let u be d(8). Calculate j(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r**3 + 31 - 28 - 3.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*b + 25027 - 22084 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/z**(2\/7)*z)\/z)\/z)**19\/(z**(7\/6)\/(z\/z**(-10\/9))))**(-4\/19))**(-31) assuming z is positive.\nAnswer: z**(-35030\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -6*y + 2*k, y - 111*k = -115*k - 71 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19522 + -19527. What is the second biggest value in d, 6, 180, -2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 66, 3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -7*z**4\/24 + 3*z**2. Let l(b) be the third derivative of b**5\/30 + 20*b**2. Determine k(l(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 34. Let m = z - 16.9. Which is the smallest value? (a) -2\/11 (b) m (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 45*a + 24*a + 2.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/r)\/r)\/r**(-9\/10)*(r\/(((r*r**(-3\/7))\/r)\/r)*r)\/(r\/(r**(6\/5)*r)) assuming r is positive.\nAnswer: r**(-243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56066322 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -77, -130, -185, -236?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/13 + 70\/39. What is the third biggest value in -1\/4, 5, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 11 = 5*d, -5*j = d - 19 + 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 74 - 48 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**2 + 7*n - 12. Let c(b) = b**2 + 1. Let k(v) = -6*c(v) - s(v). Is 2 a factor of k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 31\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59\/66 - 1\/6. Let i = 11790\/247 - 652\/13. Find the common denominator of i and j.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.17852967 to two dps.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 2. Let t be (-6)\/15 - (-163)\/(-30). Let k = t + 37\/6. What is the closest to 1 in k, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -304?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and -59\/181466.\nAnswer: 544398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -521740 * -0.4.\nAnswer: 208696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 10.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6*n + 54. Suppose 5*g + s + 38 = 0, n - 3 = -5*s. Let w(t) = -t - 7. Let d be w(g). Solve -c + 5 = -d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 160 - 160. Let m = c - -33. Solve 0 = -l - 0 + m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 minus 206?\nAnswer: -206.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2 + 4*r - 55. Let c be (-4 - -2)\/(1*-2). Let b(l) = -2 + 5 - 4. Give c*d(i) + 4*b(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y - 1\/40*y**5 + 0 - 1\/240*y**6 - y**2 - 1\/12*y**3 - 1\/16*y**4. Suppose o(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzzzgzzguzzuzywzzzy. What is prob of picking 2 u and 1 z?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 5*c - 886*c**2 - 882*c**2 + 1731*c**2 - 4*c.\nAnswer: -37*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -97. Let m = q - -126. Suppose -4*d - m = -a, -7*a - 3*d + 57 = -4*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 6*y + 12. What is the lowest common multiple of i(-6) and -1 + (13 + -15 - 10)*1\/(-3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684313.3 centuries to decades.\nAnswer: 6843133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -293\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.43 - 3.57. Let w(p) = -3*p. Let f be w(1). Which is the biggest value? (a) -5 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*h**3 + 0 + (-h**2 + 2*h**2 + 0*h**2)*(-2*h + 4*h - h) - h**3 - 759*h**2 + 765*h**2 - 18*h**3.\nAnswer: -20*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*o. Let r be (12 + -2)\/(o - -3). Factor w**4 + 4*w**r - 3*w**5 + 0*w**4.\nAnswer: w**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/31)*j*j\/(j\/((j\/(j\/(j*j*j**(-35)*j*j*j)))\/j)*j)*((j*j\/j**(-6\/17)*j*j)\/j)\/(j**26*j) assuming j is positive.\nAnswer: j**(-28833\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*a)*(-1533*a**4 + 508*a**4 + 511*a**4) + 2 - 2 + a**5 + (2*a - 4*a**3 - 2*a)*(1 - 1 - a**2).\nAnswer: 1033*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2136*s**3 + 41*s + 92. What are the prime factors of h(-2)?\nAnswer: 2, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - r + 60. Let u be t(0). Suppose -9*z + 5*z = u. Let f be 2 + z\/(-3) - -3. Solve 4*h + f + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32414.9 millennia to months.\nAnswer: 388978800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 + 13 + 2*y)*(-2 + 4 - 4) + y - 3 + 3)*(575*y - 619*y + 2 + 301*y).\nAnswer: -771*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(176) - (1 + sqrt(176))) + 3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 521.516?\nAnswer: -312.9096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmdddjmvojm. Give prob of picking 3 d and 1 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134440 - -22002?\nAnswer: 211442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6)*(3 - 1077) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22546, 14 in descending order.\nAnswer: 14, 1, -22546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93082629 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 434271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34656.453 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 2, b: 1, c: 2, o: 1, x: 2}. What is prob of picking 1 c, 1 b, 1 x, and 1 o?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18898288, -6 in descending order.\nAnswer: 18898288, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*n + 7, -4*y + 26*n = 29*n + 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -c8?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c5243 - 5?\nAnswer: -6c5248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.33 + -0.33. Which is greater: -1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34331 + 31?\nAnswer: -34300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:29 PM?\nAnswer: 347","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - s**3 - 2*s**3 + (-s - 5 + 5)*(-2 + 2 - s**2) + 39*s**3 - 16*s**3 + 5*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x + 10. Let s(m) = m**3 - 12*m + 12*m + 3 + m**2 - 4. Let y(c) = -4*c**3 - 4*c**2 + 4. Give x*s(h) - y(h).\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y - 1. Let x(k) = -196*k**2 - 4*k + 5. Let s(p) = -4*w(p) - x(p). Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93718483.\nAnswer: 93718483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 12*i + 17. Let p be y(-13). Solve 2*h = z + p, -h = 3*z - 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02898 rounded to three dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2266802 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94 + 7 + -1 + 4. Let t be 221\/f - 3\/24. Solve t*m = m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2391358 divided by 78\nAnswer: -1195679\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.47139 millilitres in litres?\nAnswer: 0.09747139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i**2 + 2*i + 349. Let k(u) = -72*u**2 - 3*u - 699. Let m(t) = 5*d(t) + 3*k(t). Differentiate m(v) wrt v.\nAnswer: -102*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 15*p**2 - 2*p**2)*(0*p + 0*p - p) - 59*p + 59*p + 42*p**3 + (-2 + 4 - 4)*(3*p**3 + 0*p**3 - 4*p**3).\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 less than 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/15 + 1724*g**2\/3 - 543086*g\/15 - 568964\/5 = 0. Calculate g.\nAnswer: -3, 67, 4246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udgdudu. What is prob of sequence gd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/7 + 17856*h**3\/7 + 115560*h**2 + 12160800*h\/7 + 60871500\/7.\nAnswer: -4*(h - 4509)*(h + 15)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 24 = 2*a - 2*s, -4*s = -5*a - 14. Let n be ((-2)\/a)\/(10\/210). Solve 4*w + 11 - 3 = -3*i, w + n = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 54893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - j = 4*j + 20, 2*x = 5*j - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166791 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21389 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/8 + 3\/(-6). Calculate the lowest common multiple of 5 and (-3)\/(-3)*c*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/24 + 38*u**3\/3 + 1444*u**2 + 270*u. Factor l(n).\nAnswer: (n + 76)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acclaarccclca. What is prob of picking 2 c and 1 l?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/3864 + 3*h**7\/805 - h**6\/92 - 5*h**5\/138 - 2*h**2 + 63*h. Find n, given that b(n) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 143 = -4*m. Suppose -981 = -11*u + 31. Let t = 107 - u. Calculate the remainder when m is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 206*z + 7. What is a(-2)?\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = 11 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27008*v + 216676. Determine m(-8).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from ssqsqqqssssxssssqssi?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(700) - -2*sqrt(700)*-1))**2 + -1 + 4 + sqrt(700)*-2 + -2.\nAnswer: -104999 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/765)\/((-340)\/61200)\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 - 4035\/(-12). Let i = t + -136. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 60*h**2 - 2215*h - 166. Give k(37).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 2*n + 2 = 0, 0 = 5*h - 2*n - 23. Suppose 4*y = -h*z + 8, -z = -0*z. Solve 5 = y*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 12.4. Let g = 0.02 - 2.02. Let u = o - g. Which is the biggest value? (a) u (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*c + 154*c - 57*c + 728 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 434\nAnswer: -1\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let n(v) = -481*v**2. Give a(n(k)).\nAnswer: 231361*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 227, 455, 681, 905, 1127, 1347, 1565?\n\"Answer: -k**2 + 231*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*k - 37*k - 308. Calculate the remainder when 1774 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248910 divided by 24891.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 223*z**2 + 1846*z - 11. Calculate d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 3. Let b(r) = 2385*r + 11 - 2360*r + 14. Determine -6*b(u) - 51*m(u).\nAnswer: 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(8 - 8 - 6*s) - 4 + 2*s + 4 + (5*s + 0*s - 3*s)*(3 + 4 - 6) - s - s + 0*s + (8*s - 7 - 12*s + 10*s)*(2 - 5 + 1).\nAnswer: 2*s + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/20*16725\/(-1115)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*s + 516*s = 288*s - 6589896. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))**(14\/5))**(1\/60) assuming w is positive.\nAnswer: w**(7\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - s + 12. Calculate a(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37)\/111 + (-50)\/(-6). Solve k*l + l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3184110751 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1726496334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18036 is divided by 528?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1014100599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -2*o**3\/3 - 3*o**2 + 2*o. Let b be a(-7). Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/132 (c) -739 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10705 - -17108. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-49)*(-9 + 2). Let w be ((-404)\/o)\/(14\/21). Find the common denominator of 123\/20 and (-21)\/14 - w\/(-32).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2223 by 3.\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 399*m**2 - 792*m - 18. Give y(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = v - 23, -5*q - 4*v + 21 = 0. Suppose 0 = a + 3*a - d - 24, -4*a + 36 = -4*d. Solve q*x - a = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 11*f - 9*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + (-14)\/6. Suppose -a + 0 = 4, -24 = 5*l + a. Let w be l\/k + -5 + 9. Solve -2*r + 5*o = 3*r, 0 = -2*o - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, 2\/46061 in increasing order.\nAnswer: -3, -3\/4, 2\/46061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3435611 (base 8) to base 4\nAnswer: 3203232021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-6*(-2)\/(-4). Let y = -6 - -8. Sort y, 0.5, p in decreasing order.\nAnswer: p, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z**2 + z - 24. Let c(q) = 3*q**2. What is f(c(u))?\nAnswer: 117*u**4 + 3*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -6\/2717 (c) 10 (d) 632 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**2 - 25*o**2 + 14*o**2 + 10*o**2 to the form h + m*o**2 + v*o and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7117 or 0?\nAnswer: -3\/7117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*o - 6, 6*o - 30 = -5*f + 2*o. Let i(y) = -y**3 + 7*y**2 - 4*y - 12. Determine i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -2. Let f = 6 - b. Find the first derivative of 7*s**f - 2 + 22 - 12 wrt s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 3708945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 6*h**2 - 14*h + 11. Give b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 7. Suppose 5*p - 12 = -4*h, 2*h = 5*p + h + 3. Give m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 626 - 134223207.\nAnswer: -134222581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 25. Which is the nearest to 9\/8? (a) -21 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 3*y - 33 + 17 + 4*y**2)*(-3 + 9 + 5)*(0 + 4 - 2)*(2*y - 3 + 3)*(-2*y - 5*y - 3*y) to b*y**4 + n*y + j + t*y**2 + h*y**3 and give t.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172\/35 + 26\/5. Let n(f) = 3*f**2 + 17*f + 10. Let i be n(-5). Which is the closest to -1? (a) g (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448423605.\nAnswer: 3, 5, 7, 137, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 168 = -96 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20125*d = 20932*d - 30666 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96586 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.3 - 39.6. Which is the nearest to 1? (a) -4 (b) p (c) -2\/7 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 8*a - 3*w - 5, 0 = a - 3*w - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 12*w + 2. Let z(h) = h**2 + 11*h + 1. Let n = 130 + -134. Let p(o) = n*k(o) + 5*z(o). What is p(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37712745 = -25*w - 80*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + 6*p - 7. Let y(q) = q**2 - 4*q + 6. Let l be y(3). Let x be d(l). Let 0 + 2\/3*c**x + 1\/3*c = 0. What is c?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 183 * 630049.\nAnswer: 115298967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -655, -5834, -19885, -47242, -92339, -159610?\n\"Answer: -739*s**3 - 2*s**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(3)*-3 + ((sqrt(2904) - (sqrt(2904) - 2*sqrt(2904) - sqrt(2904)) - sqrt(2904)) + sqrt(2904))\/sqrt(8))**2.\nAnswer: -234*sqrt(3) + 4572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8960 (b) 3 (c) 2\/11 (d) 5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088 (base 15) in base 3?\nAnswer: -11210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -73. What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3)*(-18)\/40\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + w**2 + (-1 + 1 - 1)*(-23 - 2235117*w + 2235117*w - 264*w**2).\nAnswer: 265*w**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - 5981?\nAnswer: -5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Let r be 63\/2 - 2\/k. Let f = -18 + r. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 230. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 25 = -9*h. Suppose 2 = 2*n - 3*y, -5*n - y = h*y - 30. Solve 0 = 2*o + 4*b + 14, -5*b + 11 = -n*o - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 659445669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 + -76?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 1510*o**3 - 20766*o**2 - 12978*o + 266760 = 0. Calculate o.\nAnswer: -741, -12, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**19*q))\/q)\/q**(2\/37))\/((q**(-1\/8)*q)\/q**(-16)) assuming q is positive.\nAnswer: q**(21\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -7549198.\nAnswer: 15\/7549198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-66)\/(-48))*12\/16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k + 40. Let g be 3*(-10)\/k*4. Suppose -s + 9 + g = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8171.763 millimeters in centimeters?\nAnswer: 817.1763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -16, -24, -34, -46?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 greater than or equal to 2819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*h + 7, 2 = 3*b - h. Let d be (2\/4)\/(b\/40). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1*(-1)\/2). Suppose -w*y = -h - 9, y + 2*y - 2*h - 3 = 0. Suppose -25 = 5*o, 3*i + 6815 = 2*i - y*o. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2224334*-1.6\nAnswer: 3558934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.1 (c) -4 (d) 0.2 (e) 268270 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2960 divided by 2\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -18. Let d(l) = x + 9 + 15*l - 10 + 17*l. List the prime factors of d(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -434 + 15156\/35. What is the common denominator of 31\/25 and w?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -91. Calculate the least common multiple of -5*(24\/(-36) + (-89)\/15) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j**2 - 37*j + 37. What is c(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43802216*w**2 + 33466878 wrt w.\nAnswer: -87604432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220638769\/883 + 249874. Calculate the common denominator of v and 73\/6.\nAnswer: 5298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + s**2 - 7*s**2 - 5*s**3 + 13*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 6*y + 3. Suppose -3*m + l - 9 = 0, -m - m - l = 11. Is q(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuv when three letters picked without replacement from vuuvuuvuvu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w - 3. Calculate u(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -201832, -201837, -201842, -201847, -201852?\n\"Answer: -5*h - 201827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201 - 20100102?\nAnswer: -20011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8081795 is divided by 1788.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let h(n) = n - 2. Let f be h(4). Let j be ((-6)\/2)\/((-3)\/f). Let z(o) = 2*o - 2*o**2 - j*o. Give v(z(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**7 - 2 - 3\/56*f**8 - 2*f + 0*f**6 + 0*f**2 + 49\/3*f**4 + 67\/20*f**5 + 0*f**3. Find the third derivative of a(l) wrt l.\nAnswer: -360*l**3 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762425 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 331 + -328. Suppose 6*j - 124 = -25*j. Solve -b - 8 = 4*b - j*z, y*b - z + 9 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -210829, -210825, -210819, -210811?\n\"Answer: k**2 + k - 210831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5270b2d - -11?\nAnswer: 5270b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 396*r**2 + 12*r**4 + r - 396*r**2 + 39 + 21*r**4 - 39 + 0*r**3 - 2*r**4 + 0*r**3 + (3 + r**2 - 3)*(-3*r**2 + 4 - 4) + 0*r**4 - 3*r**4 + 2*r**4.\nAnswer: 27*r**4 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 h when three letters picked without replacement from fmfffhfbhmfmfbfqhhh.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 5*v - 6. Let x(f) = 2*f - 1. Let t be x(-3). Let o be b(t). Find the second derivative of 17*k**4 - o*k + k - 13*k**4 wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148314?\nAnswer: 2, 574157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k**3 - 29*k**2 + 54*k + 199. Is q(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2239936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17859.2494128673 and -8?\nAnswer: 17867.2494128673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6676*x + 3337*x + 3334*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67080?\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -279\nAnswer: -7\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -337, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -343 - -2402\/7. Let w(o) = o**2 + 12*o - 9. Let t be w(-13). Which is the closest to 1\/4? (a) u (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 55*q + 100. Let w be c(29). Let t(f) be the second derivative of 0 + 0*f**2 - w*f + 1\/3*f**3. Let r(b) = 2*b. Calculate r(t(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.052 - -0.019. Let a = 0.03273 + h. Round a to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxwxxxwwwxww. Give prob of picking 2 w.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 85\/6*n**3 + 0 - 1\/12*n**4 + 0*n + 18*n**2. List the prime factors of d(-8).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 395 - 425 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160.421 less than 1?\nAnswer: -3159.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1389.6 milliseconds to minutes.\nAnswer: 0.02316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s + 2*n, -3*s + 10 = -2*n + 2. Let v = s + -1. Let i(b) = 26*b**2. Is i(v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5 = t - s, 0 = -4*t - 2*s + 32. Let b(w) = -w - t*w + 6*w. Let j(c) = -c**2. Determine j(b(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-870)\/(-522))\/(110\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1359, 5456, 12297, 21888, 34235, 49344, 67221?\n\"Answer: q**3 + 1366*q**2 - 8*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k. Let n(z) = 2378*z**2 + 1914*z. Let j(y) = -15*y**2 - 12*y. Let f(u) = -319*j(u) - 2*n(u). Give s(f(r)).\nAnswer: 551*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:32 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 498\/43, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 6*a + 1. Let n(l) = -l. Let u be 3\/((-3)\/(-12)*-2). Let p(h) = u*n(h) - w(h). Find the first derivative of p(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*p**4 - 2*p**3 - 37*p + 48910 wrt p.\nAnswer: 136*p**3 - 6*p**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 112. Let f = v - 18. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 3. Let j be (4 + -7)*4\/(-6). Let n be t(j). Put n, 4, 0 in descending order.\nAnswer: n, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4119 - 30736 = -331*s - 288*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -140*d**2 + 21*d - 22. Give f(1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 16*k + 69. Suppose 0*d - 2*j = -4*d + 38, -5*d = -3*j - 49. What is the least common multiple of x(-5) and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -298526.15365 and 27.\nAnswer: -298499.15365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*z + 858*z + 153 = 0. What is the remainder when 6186 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.566 and 0.3270654.\nAnswer: 14.8930654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 11*g**2 + 9*g + 22. Let w be (-61)\/(-7) - 6\/(-21). What is the units digit of c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 + 8*q + 6. Let f(b) = -8*b**2 + 7*b + 5. Let a(p) = -5*f(p) + 6*j(p). Let m be a(7). Is (-7403)\/(-22)*(m - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*y - 27 - 55. Which is smaller: 52\/49 or y?\nAnswer: 52\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d)*(0 - 9 - 28 - 1 + 0 + 2 + 2 - 2 + 1 + (-4 - 1 + 3)*(4 - 1 - 5) - 4 - 1 + 6).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 160747135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -15, -1, 3 in descending order.\nAnswer: 3, -1, -15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 2658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -700, -1268, -2214, -3538, -5240?\n\"Answer: -189*x**2 - x - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*d - 29*d + c, 0 = -d + 5*c + 18. Solve -4*u - d = -19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5122\/(-985)*(-65)\/182.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46679 is divided by 322?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**8\/420 + g**6\/60 + 2*g**3 - 4. Let o(d) be the third derivative of t(d). Find the third derivative of o(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) 0.4 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -46*k**2. Let t(x) = -5*x**2 + 8. Let w(b) = -b**2 + 39*b - 43. Let j be w(38). Let u(a) = 3*a**2 - 5. Let y(q) = j*t(q) - 8*u(q). Give y(v(m)).\nAnswer: 2116*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 312850179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 63.95.\nAnswer: 64.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let b = 1 - 1. Suppose 3*u + b = 24. Let z(g) = -g**3 + 7*g**2 + 9*g - 7. Let v be z(u). Give s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818367819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58639429 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:48 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 divided by -18?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 32, -0.1, -36.7, 19, 0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1\/3 (c) -1\/8 (d) -21 (e) 0.4 (f) -3\/5 (g) 7\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a factor of 3234658304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, -98, -5 in descending order.\nAnswer: 330, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 12, -4\/5, 25?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 + 1898 = 4*p. Suppose l + 10 = 6*l. Suppose 3*y = 5*v + l*y - 769, -5*v + 3*y = -p. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + r**2 - 54 - 5 - 3*r**2 to the form x*r**2 + z*r + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -81*y**5\/2 + 1665*y**4\/2 - 3836*y**3 - 1830*y**2 - 208*y = 0.\nAnswer: -2\/9, 0, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 + 7 = j, 5*b - 2 = -2*j. Suppose 3*p - 49 - 17 = 0. What is the lowest common multiple of j and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2724308 divided by -8084\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49684?\nAnswer: 2, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24604 + -26737. Is -2139 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19) - sqrt(114)\/(1*sqrt(6))) - (sqrt(19) + 3)*-6.\nAnswer: 18 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 29. Let h be (-3)\/(-5 - (-88)\/m). Is 42 a factor of -1*h\/15 + 658\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9626 + 3*u**2 + 57301 + 4597.\nAnswer: 3*u**2 + 52272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 31. Let a be i(0). Suppose 2 - 8 = -3*v. Suppose -2*s + v*o + a = 3*o, 4*s = -3*o + 63. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -36, -32, -28?\n\"Answer: 4*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-6 + 40)*(-4 + 2). Suppose 1 = -w + 6. Suppose p + 16 + 55 = w*r, p = -1. Calculate the highest common factor of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 9 = 7*g. Suppose 6 = -0*y + g*y. Suppose -y*s + 3 = -1, 5*h - 5*s = 230. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5652*r + 5652*r + 967*r**2.\nAnswer: 967*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + s - 1. Let w(b) be the second derivative of b**4\/6 + 5*b**3\/6 - 3*b**2 - 776*b. Give -w(m) + 6*x(m).\nAnswer: 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*-16*23\/552\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2299))*1)**2 - (sqrt(2299) - -2*sqrt(2299)*-3)**2.\nAnswer: -55167 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:02 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 101100?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -0.3.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 75911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.5 + -0.7. Let f = r - 6.8. What is the closest to 0.1 in -4, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1074626 + -703469. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxlppxlvpkxpxv. Give prob of picking 1 k and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 - 187.097. What is n rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 106. Let q(i) = 13*i + 2 - i**3 + 192*i**2 + 195*i**2 - 393*i**v. Calculate the remainder when q(-8) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 583 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-675)\/1215*(-228)\/(-665).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117.972 or 17?\nAnswer: -117.972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1472256456 - -64.4\nAnswer: -1472256391.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7724271 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: Rearrange 2*l**2 + 2*l**3 + l + 16*l**3 - 9*l**3 to j*l**3 + m + v*l**2 + h*l and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 0 - 37 = 54. Solve -2*r + t - 1 = 0, -s = 5*r - 7*t + 3*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = 3*x + 139. Let v = -240 - x. Solve v = -7*z + 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1368, 2753, 4248, 5853, 7568, 9393, 11328?\n\"Answer: 55*p**2 + 1220*p + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d)\/(d**(-2\/31)*d)*(d*d\/(d**(-8)\/d*d))\/(d**0*d) assuming d is positive.\nAnswer: d**(126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((-15 - (-3104)\/208)*26\/(-4))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-6 - -2 - (-13 - (-14 - -9)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37083 is divided by 18532?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31867 and 0.2.\nAnswer: 6373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 - -5.71. Which is the nearest to 2? (a) 1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -u - 3*u + 40, -2*q + 5*u = 4. What is the smallest common multiple of 20 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*y + 14*y + 7*y + (2*y + y + 2*y)*(-6 - 3 - 2) + 0*y + 2*y - 3*y + (0 + 0 + y)*(1 + 3 - 2).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.922776 - 0.019776. Let o = 21.9 - a. Round o to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = 3*o - 6*w, o - 2*w + 3 = 0. Let f(g) = -g**2 + 28. Let b be f(0). What is the greatest common factor of b and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 6, a: 3, v: 5, g: 3}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - s. Let i be (1*-2 - -8) + (-2 - -4). Suppose 4*p = -5*x + 260, -134 = -3*x - i*p + 10*p. Let k = x + -49. Calculate m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 - (-6 - -14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, j: 4}. What is prob of sequence jjl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 1, -22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -134.\nAnswer: -18.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50656 - 50644 + 31*l + 151943 - 50643.\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223944 by 129.\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -8b5d93?\nAnswer: -8b5d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.95 and 285.\nAnswer: -270.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169725837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 28*b**2 - 172*b + 2435. Give d(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -28*k**3 + 85095632*k**2 - 64654153785260*k - 18472622313800 = 0.\nAnswer: -2\/7, 1519565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 1)*(-2*d - 1 + 1)*(37 - 34 - 46)*(2 - 1 + 0)*(-2 + 3 - 2)*(3*d - d - 9*d).\nAnswer: -2408*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090227.\nAnswer: 2090227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 12}. What is prob of picking 3 h?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnngnnnnnnn. Give prob of picking 4 n.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**4 + 9*j - 9*j - j**4 - 9 wrt j?\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 6. Let k(u) = 6 - 2*u**2 + l*u - u - 2. Suppose -2*b = -5*x - 6, 3*x = b - 0*b - 3. Determine k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220473 take away 0.468?\nAnswer: -220473.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.304034738 and 10.1.\nAnswer: 39.404034738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36317, -36223, -36067, -35849, -35569?\n\"Answer: 31*z**2 + z - 36349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -2\/9, 13, -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 83. Let l = -70 - w. Which is the third smallest value? (a) 0.07 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = -2*f + 4*y, -2*y = -2*f + 12. Suppose 7 - f = -v. Put v, 2, 6 in increasing order.\nAnswer: v, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:07 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 2 (b) -1\/2 (c) -2 (d) 385\/8 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 107.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*z - 396753 = -96432. What is the highest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2492, -9488, -21146, -37460, -58424, -84032?\n\"Answer: p**3 - 2337*p**2 + 8*p - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d**3 - 10*d**2 + 2. Let l be m(-1). Suppose -s + l = 4*o, 0*s = -5*s - 10. Solve 20*z = 21*z - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. What is the smallest value in -0.1, z, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159280182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -5)*(-319)\/(-22). Suppose 19301 = 88*s - a*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25602, -29203, -32806, -36411?\n\"Answer: -a**2 - 3598*a - 22003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97778802 by 6.\nAnswer: -16296467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81261599?\nAnswer: 23, 3533113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 = 5*h, -108*h + 3*k + 1 = -110*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from ztztzzrzgx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 4. Let a(f) = 2*f - 5. Let c(x) = x**3 + 5*x**2 - x - 1. Let q be c(-5). Let n(y) = q*a(y) + 5*m(y). Does 4 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/100360 and 47\/250900?\nAnswer: 501800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 952855\/2 or 476427?\nAnswer: 476427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 116, 175, 234, 293?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 944 = -1114. Let x = j + -142. Calculate the greatest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 11) to base 9.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 134 = -59*n. Suppose s + 1 = -t, 2*t - 21 = -2*t + s. Suppose x - 149 = -n*g, -2*g - t*x = -7*g + 340. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.78 in 50, -7, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:40 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77758715 to the power of 1\/2, to the nearest integer?\nAnswer: 8818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/7 - 2704300*f\/7 - 3476934 = 0. What is f?\nAnswer: -1352141, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 29 = 3*l, 2*l - 4 = -x + 6. Let z(p) = -p**3 + 5*p**2 + 4*p - 14. Let w be z(x). Let n = -15 + w. Solve n = -5*b - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21984*z**2. Let p(v) = -2*v**2. What is p(a(o))?\nAnswer: -966592512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - -0.04. Let b = -3.96 + -0.04. What is the biggest value in -1\/3, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -46. Let q(c) = c**2 + 93. Give 7*k(n) + 3*q(n).\nAnswer: 3*n**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6316646 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*k**2*o**3*t + k**2*o**2*t - 2*k**2*o*t - 2*k*o**2*t + 2*k*o*t - 3*o**3*t + 26*t wrt k.\nAnswer: -38*o**3*t + 2*o**2*t - 4*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.5. Suppose -m = -3*c - c + 68, 2*m + 46 = 3*c. Suppose 4*u = -2 - c. Sort w, u, -2\/9.\nAnswer: u, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1804, -1773, -1740, -1705, -1668?\n\"Answer: s**2 + 28*s - 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {b: 2, a: 4, v: 2, p: 5}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 9*i - 7. Let p = -18 - -11. Calculate the smallest common multiple of x(p) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11553.0000069022 + -11553. Round i to seven decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kua when three letters picked without replacement from vuuaekek.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/24 - 2\/3. Let b = -2 - -1.92. Let i = b - -5.08. What is the third smallest value in 1, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 51048818.4?\nAnswer: 51048813.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 3*v - 5*v)*(-1 + 23 + 4)*((5 + 1 - 5)*(3 + 2 - 3) - 1 - 3 + 0) as i + w*v and give w.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 - r**2 - 4*r**2 + (-16 + 7*r - 6*r + 0*r)*(-2*r + 2*r - r) to the form q + g*r**2 + k*r and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3*d**2 - 6*d + 2. Let s(z) = 17*z + 17. Let q be 22*-2*(-1)\/4. Calculate q*o(g) + 4*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 0, 5, -56 in descending order.\nAnswer: 6, 5, 2, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/20 - 13*m**4\/12 - 11*m**3\/6 - 41*m**2\/2 + 37*m - 22. Give w(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0.1, -0.2, 0.29689 in increasing order.\nAnswer: -4, -0.2, 0.1, 0.29689, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-3)*1\/1. Let h(i) = i + 8. Let y be h(x). Suppose 0*v - y*v = -44. Does 11 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 11734.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 13 + 28*v + 0*v**3 + 2*v**3.\nAnswer: -2*v**3 + 28*v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 - 13*v - 12. Let r(c) = 7*c**2 + 27*c + 25. Let t(g) = -5*a(g) - 2*r(g). Give t(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 7, l: 3}. Give prob of picking 1 l and 2 g.\nAnswer: 9\/286","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 aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 29\/36*c**5 - 5\/144*c**6 - 10*c**3 - 65\/12*c**4 + 157*c**2 + 0*c + 0. Factor t(d).\nAnswer: -5*(d - 6)**2*(5*d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 25*p - 42 = -3*s, -15*p - 189 - 1 = 5*s for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (9 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6044*f**3 - 3033*f**3 - 3031*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 3, i: 10}. Give prob of sequence vi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 201849344 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-120)*(-10)\/(-4). What is the nearest to 0.1 in -2\/9, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from {k: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 17*x**2. Let u(k) = -173*k. What is u(d(a))?\nAnswer: -2941*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56579885 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302 and 2268?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21522.363 months?\nAnswer: 1.79353025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-12) + (-5)\/(10\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 10*t - 37. Let q be p(-14). Let u(d) = -d**3 - 5*d**2 - 4*d + 1. Let f be u(-3). Put q, f, 1 in decreasing order.\nAnswer: q, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(210))\/sqrt(7) + -4*sqrt(270) + sqrt(270))\/((-4*sqrt(66)*-2)\/(5*-1*sqrt(11))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 81\/18*2 - 39. Let y be (2\/j)\/((-11)\/66) - 0. Factor -8\/5*c**2 - 2*c**4 + 0 + 16\/5*c**3 + 0*c + y*c**5.\nAnswer: 2*c**2*(c - 2)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -2 - ((-5 - -1) + 409). Let h = w + 382. Is h equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 8*u + 35*u)*(4*u**2 - 2*u**2 + 7*u**3 - 23*u**3).\nAnswer: -288*u**4 + 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-16))**(-14)*(d\/(d*d\/(d\/(d*d\/d**(3\/2))*d)*d*d))**28 assuming d is positive.\nAnswer: d**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*k - 2271710 = -247*k. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -17 - (231 + -226)*11\/5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/110)\/((21\/35)\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224298 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123336.7400021 - -123335.14. Let d = 1.6 + l. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 6, i: 3, m: 5, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.79571mm?\nAnswer: 7795710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60 (b) 0.05 (c) -349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 993*i - 1944*i - 19 + 6 + 964*i in the form n*i + h and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**8\/336 - l**5\/30 - l**2\/2 - 6. Let t(n) be the second derivative of c(n). Find the third derivative of t(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 1564 = -12816. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 15*h**2 + h - 21. Let z(f) = f**3 - f**2 - f - 1. Let b = -21 - -22. Let x(q) = b*m(q) + z(q). Calculate the remainder when x(-13) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Suppose 5*t + 0*w - 3*w - 4 = 0, -l*t + 5*w = 2. Let d = t - 0. Solve -6 = d*v + v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2100*b**5*v**2 + 2585*b**3*v**3 - 3*b**2*v**3 - 12*b**2*v**2 - 555*v wrt b?\nAnswer: -126000*b**2*v**2 + 15510*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r**3 - 10*r**2 - 10*r + 10. Let y(d) be the first derivative of -5*d**4\/2 - d**3 - 3*d**2\/2 + 3*d + 2463. Calculate -3*g(a) + 10*y(a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7877, -7883, -7851, -7763, -7601, -7347, -6983?\n\"Answer: 3*n**3 + n**2 - 30*n - 7851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21356 or -21355?\nAnswer: -21356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*o**2 - 268*o**3 + 266*o**3 + 2 to the form q*o + w + b*o**3 + f*o**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94132 or -93554?\nAnswer: -94132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 14*s - 34. Let f be y(10). Let w = -6 + 0. Let k = -4 - w. What is the highest common factor of f and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -31. Let h = m + -137.99999839. What is h rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(468) + 0) + (sqrt(468)*-1 + -1 + sqrt(468))**2)*-2*3.\nAnswer: -12 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l + 5. Let c(i) = i - 1. Let f(v) = -2*c(v) + y(v). Calculate the remainder when f(-6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 58407656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 232, 233, 232, 229, 224, 217?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*-6*(-2665)\/234\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -9, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 7:04 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 51. Let f = 5 + -11. Let v be l - 2 - (f + 3). Solve -v*u = -2*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vii when three letters picked without replacement from {v: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933078 at most as big as 1933076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**7\/2940 - a**6\/1260 - 3*a**3\/2 + 11*a. Let l(k) be the second derivative of d(k). Let l(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73477486.18 rounded to the nearest 1000?\nAnswer: -73477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*r - 10 = 0, -h - r + 25 = 3*h. Suppose 0 = d - 3*d + 12. Solve d*m = m + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 354, -6, -590, -1392, -2406, -3626, -5046?\n\"Answer: o**3 - 118*o**2 - 13*o + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -0.4274, -7\/4 in ascending order.\nAnswer: -63, -7\/4, -0.4274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.1 (c) -1 (d) -196348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7.16. Let l = b + -9.16. Let a = 4 + l. Are a and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Sort -1, j, 1.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s + 1. Give t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972, 913, 842, 753, 640, 497, 318, 97?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 44\/147 (c) -0.8 (d) -2 (e) -0.0364 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1130685679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130021 + 1221212?\nAnswer: 1031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -23 - -3 - -46?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - i = -c + 46, 2*c = -i + 29. What is the highest common divisor of c and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7640736 and 388512.\nAnswer: 22922208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4908 is divided by 807.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -507 + 904. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183937 rounded to four decimal places?\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351*j**5 - j**3*n**2 + 278*j*n + 3*n**2 wrt j?\nAnswer: 7020*j**3 - 6*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:53 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from fgxta.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1.05.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7635.\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6033.37966 - 0.85966. Let l = t - 6188. Let o = -158 - l. Round o to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**9\/560 - 7*y**5\/15 - 37*y**4\/24 + 7*y**2. Let f(p) be the second derivative of g(p). Differentiate f(j) wrt j.\nAnswer: 108*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 12:44 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5 = 3*h, -773*r + 776*r + 4*h = -35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzjwiwwwjzzzjjjzz. Give prob of picking 1 z and 3 w.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 40\/(-3). Let y(x) = -x**3 - 83*x**2 - 1724*x - 311. Let b be y(-38). What is the greatest common factor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by 87.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 - 3)*(4 - 3 + 3)*(-4*k**4 - 8*k**4 + 4*k**4).\nAnswer: 416*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m - 2*m**5 + (-71*m**2 + 196*m**2 + 245*m**2)*(0*m**3 - 5*m**3 + 3*m**3).\nAnswer: -742*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -705*m + 3163. Let o be k(4). Solve 0 = -4*b + 335 - o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7336716181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 113210?\nAnswer: -113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -593 + 598. What is the third derivative of -2*h**2 + 141*h**3 - 284*h**3 + 33 + m*h**2 wrt h?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b + 20. Let h be (-4)\/(-10) + 12\/b. Is -2 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 - 4*i**2 + i + 4 - 1. What is the remainder when f(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 24. Let f be (1 + 2)*(-6)\/c. Is -2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose 9*s = 11*s - 4*y - 10, 4*s = -3*y - 13. Calculate the lowest common multiple of 2 and (s + z)\/(6\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -102?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -118966 - 43364. What is the tens digit of z\/(-98) + 4\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -44 - 42*d - 19 + 217*d**2 - 21*d. Let c(k) = 7*k**2 - 2*k - 2. Give -63*c(b) + 2*t(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 100\/(-56))\/((-1)\/(-2)). Which is the fourth biggest value? (a) -4 (b) x (c) -2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/x**(-2\/121)*x)*x)**(-23) assuming x is positive.\nAnswer: x**(46\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18)*(-4)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 9. Let n be d(-6). Suppose -4*m - m = -5*h - 1005, -n*h = 5*m - 1045. Let z = 507 - m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 0. Is (-24 - (z - 0))\/(-1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28332.3 - 28330. Let q be 2 + -1 + (-18)\/14. Put 3, q, 1, t in descending order.\nAnswer: 3, t, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*g + 12 = -365*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 84331?\nAnswer: 4\/84331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6388832 to the nearest integer?\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -965589 take away -86?\nAnswer: -965503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22532, -90500, -203826, -362510, -566552, -815952?\n\"Answer: -22679*c**2 + 69*c + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -1, -16, -39, -70, -109, -156?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d. Let a(r) be the first derivative of 33 + 3*r**3 - r**3 + 8 - 4*r**3. Give k(a(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4*7*1)\/(111\/(-444))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-24)*(-1 - -4). Solve -5*g + r*a = -25, 3*g - 5*g + 3*a + 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + n**2 - n**4 - n**3 - n**4 + 9 in the form v*n**2 + r*n**3 + w*n + d*n**4 + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168821, 168814, 168807, 168800, 168793, 168786?\nAnswer: 168779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -4*f + 3*f. Let u be (1\/(-2))\/(21\/f). Let z be 12\/(-10)*(-10)\/u. Let q(p) = p**3 + 2*p**2 - 4*p + 1. Calculate q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/10 + 10728*m\/5 + 42872.\nAnswer: (m + 20)*(m + 21436)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 1, u: 1, m: 1, c: 1}. Give prob of sequence umc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1392\/12863 - 2\/677. Let h be (27\/2)\/((-57)\/(-4)). Solve -s*x**2 - h + 12\/19*x = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 19 = -3*y, 2*p + 2*y = -8 + 2. Factor 27 + 0*z**2 + 2*z**p + 18*z + z**2 + 0.\nAnswer: 3*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31808*g**2\/5 + 7198*g - 4182\/5.\nAnswer: -2*(g - 1)*(15904*g - 2091)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0*q**3 - 7\/20*q**5 - 5*q + 0 - 1\/2*q**2 + 1\/6*q**4. What is y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 - -153.31. Let j = o + -0.91. What is the nearest to 0.1 in 1, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 3*w**5\/10 + 2*w**2 + w. Differentiate k(t) wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/((-9)\/324).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -73960 less than -739587\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41625 by -185.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 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: What is the remainder when 400 is divided by 49\/(2 + 5) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*x + 2610 = -258 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -2860.\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*b**3 - 8*b**3 + 3*b**4)*(1 + 4 + 0)*(9 + 19 - 6) to c + t*b**3 + m*b**4 + z*b + j*b**2 and give m.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102020021001122 (base 3) to base 2\nAnswer: -10110110001010011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (43 - 2) + -19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)\/c)\/c)\/(c**15\/c) assuming c is positive.\nAnswer: c**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 + -177. Suppose -335 = -4*b - 5*k, -b - w*k = 32 - 121. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2923*w**6 + 16*w**2 + 77*w**6 + 2*w**2 - 440*w**6 + 48*w**2 wrt w?\nAnswer: 307200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.2, 0.18, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 76*o - 2306. Calculate l(30).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*h = -5*o, 5*o - 10*h = 50 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.2, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5742*i**2*s**3 + 1726625*i**2*s**2 - 291*i*s**3 wrt s.\nAnswer: -34452*i**2 - 1746*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 4. Let f(l) = 2*l - 7. Let h(s) = 4*f(s) + 7*o(s). Let b(p) = 166*p - 315*p + 143*p. Give -b(v) - 8*h(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:46 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/12 - h**3\/6 + h**2. Let w = -430 + 433. Let k(l) = -3*l + 11*l - 6*l. Give w*r(u) + 2*k(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 48*-0.0783\nAnswer: -3.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388764?\nAnswer: 2, 13, 17, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(100)*1*-5 + 6*(sqrt(100)*1 + sqrt(100)))\/((5*sqrt(288)*5 - sqrt(288)) + sqrt(288) - sqrt(288)).\nAnswer: -3 + 35*sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/48 - -317\/48. Calculate the common denominator of 29\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k - 4. Let v(f) = -21*f + 7. Let c be (14\/(-10))\/((-3)\/(16 - 1)). Calculate c*g(y) + 4*v(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 142. Let t(d) = -d + 137. Determine r(t(n)).\nAnswer: 3*n - 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78229091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.3. Let h = -7\/116 - 2\/87. Which is the nearest to -1\/4? (a) 5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261156, -261164, -261184, -261222, -261284, -261376, -261504, -261674?\nAnswer: -261892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 11*t**2 - 4*t + 17. Is p(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -11, 5, 0.3 in ascending order.\nAnswer: -11, -2\/5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1978770.00063 - -1978793. Let a = v - 23. Round a to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61754546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose f*v = 42 + 12. Let b = -14 + v. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/17 - 870*w\/17.\nAnswer: 2*w*(w - 435)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.7922 rounded to 2 dps?\nAnswer: -47.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 4. Let f be s(4). Let b(o) = 2*o + 28. Let h be b(f). Solve 7*v - 3*t = h*v - 18, -v - 9 = -2*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 84*s - 87.\nAnswer: 3*(s - 1)*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 137520 (base 8) to base 16\nAnswer: bf50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2461*z**2 - 4994*z**2 + 2521*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.73 - -0.7. Which is the second smallest value? (a) u (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = g + 93. Suppose 3*n = 4*p - 581, 4*n = -p - p + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30382243.\nAnswer: 97, 313219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1769660 and 1558594?\nAnswer: 3328254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-1\/36)\/(y**1)**(-39)*(y**(1\/3)\/y**(-1))\/((y*(y**(-4\/5)\/y)\/y*y*y)\/y*y**(1\/4)) assuming y is positive.\nAnswer: y**(7357\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = 24*r - 23 - 52. Let h = 2.05 - 0.05. What is the second biggest value in 3, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/5 - 11*a**3\/6 - 19*a. Find the second derivative of v(c) wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28934 + -28933. Sort -3, -5, z, 153 in increasing order.\nAnswer: -5, -3, z, 153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253514 is divided by 12954.\nAnswer: 7388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/34 - -77\/306. Let v(w) = -w + 7. Let n be v(6). Let i be n\/(-3) - 128\/(-24). Which is the closest to 0.1? (a) k (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0 - 1\/27*a**3 + 0*a**2 - 1\/54*a**4 + 11*a. Factor q(w).\nAnswer: -2*w*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvy when three letters picked without replacement from vvyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/65 and -9\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 14 = 33*o + 2*s, 4*s = -5*o + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 15\/9)\/((-1)\/(-6)). Solve 0 = -l*b + 15*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-11)\/264*(-6)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/8, -86601, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1543488, -3086965, -4630436, -6173901, -7717360?\n\"Answer: 3*h**2 - 1543486*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -47\/922?\nAnswer: -47\/922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*q**4 + 1\/7*q**2 - 10\/7*q + 10\/7*q**3 + 0 = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-4))\/(18\/(-264)). Suppose 4*l - d + 6 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*b = -3, o - b - b - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 9*u + 3. Let g be z(4). Suppose -3 = g*b - 8*b. What is the third smallest value in 4, -3, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 34*c**3\/3 - c**2 - 20. Let u(v) = 2*v. Calculate r(u(f)).\nAnswer: 136*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24961 = -943*q + 118*q - 9689 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 902082499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1241.31 from -0.2.\nAnswer: -1241.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 3 + 5*m - 7*m + 4*m + 6*m**2 to a*m + k + x*m**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 divided by -6?\nAnswer: 803\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2947823*t**2 - 8843463*t**2 + 2947819*t**2 + 2947821*t**2 + 2 + 9*t**3 - 2.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfdp when four letters picked without replacement from ttdtfmimmpfmtdm.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 58033480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 + 2*o**2)*((4 - 4 - 6*o**3)*(-3 + 0 + 4) + (-o + 0 + 0)*(3*o - 3*o + o**2)).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2457, 5, -25, -1\/2, 3\/8, 2 in decreasing order.\nAnswer: 5, 3, 2, 3\/8, -1\/2, -25, -2457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -575, 2, -5, 5 in ascending order.\nAnswer: -575, -5, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 7*h**2 + 34*h - 102. Give a(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2 + -2 - (sqrt(11) + ((1 + sqrt(11))*-6 - sqrt(11))) - (1*sqrt(1584) + -2).\nAnswer: -8*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000756631 rounded to seven dps?\nAnswer: 0.0000757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716747821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 820, 2394, 3976, 5572, 7188?\n\"Answer: h**3 - 2*h**2 + 1573*h - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344800670?\nAnswer: 2, 5, 61, 565247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -5*i - 6*q, -i + 31*q - 28*q - 22 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 12. Let s be r(5). Solve s*a = -c - 10, a - 20 = -4*c - c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-23))\/(p**(5\/4)*p))\/(p**36*p**(-39)))**(3\/2) assuming p is positive.\nAnswer: p**(309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738\/65 + -56\/5. Let w = 6.214 + -0.014. Let h = w + -6. Do h and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -7, 0, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -42. Let w(a) = -3 - a**2 + 8*a + 3*a - 1 - 4. Let o be w(u). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -129, -2\/7, -36\/17, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -4986*b**5\/5 + 7*b**3\/3 + 11*b**2 + 3*b - 940. What is the third derivative of a(k) wrt k?\nAnswer: -119664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4403471521, 4403471523, 4403471527, 4403471533, 4403471541, 4403471551, 4403471563?\n\"Answer: c**2 - c + 4403471521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -5, -89, -46, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k**3 - 2*k**3)*(635*k + 50*k**2 - 635*k) - 7*k**5 - k**5 - k**5 + k**5 + 3*k**2 - 3*k**2 + (-3*k**2 + 3*k**2 - k**3)*(3*k**2 + 0*k**2 - 5*k**2).\nAnswer: -106*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 5, 0, -248 in descending order.\nAnswer: 105, 5, 0, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15251 (base 9) to base 8\nAnswer: 24256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:57 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26240*q**2*r - 24*q*r + 10*q + 2*r - 33 wrt q?\nAnswer: -52480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1))**28\/(i**(-1\/3))**(-1\/42)*(i*i**(-1\/2))\/i*i*i**(-6)\/i*i*(i*i\/i**(3\/5))\/i**3 assuming i is positive.\nAnswer: i**(6581\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 - -12.056. What is the third smallest value in o, 0.4, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 943 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 256? (a) -0.5 (b) -0.07 (c) -2\/253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -2\/7, 9938, -3, -4, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 15, 26, 35, 42, 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/37 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 537, 5, 12, 3 in increasing order.\nAnswer: -4, 3, 5, 12, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.44 or -1\/3?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzvqxlzxlxczqccz. What is prob of sequence lcq?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-1\/4)\/w))\/(w*w*w**(-3\/10))*w**(-3\/5)*w*(w*(w\/((w**(1\/7)*w)\/w))\/w)\/w)\/(((w\/w**(-2\/7))\/w)**(-11)*(w**0)**(-3\/7)) assuming w is positive.\nAnswer: w**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5754 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54695008 a multiple of 664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:42 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 4. Let a be h(-3). Find the common denominator of -95\/8 and a + 2\/(60\/63).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w**2 - 46*w**2 + 86*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123848747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*k - 313, k - 228 = -3*v - 2*k. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 6*z + 4. Let a(v) = 8*v - 9*v + z*v + 2*v. Let f(o) = 5*o**2. Determine f(a(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2b9 (base 14) to base 5\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2484 divided by -4\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279401861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174.1 + -178. Suppose -3*j - 2*j + 19 = -b, 5*b = -3*j + 17. Is s <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose -4*x + t*l - 21 = -l, 0 = -x - 3*l + 11. Let u = x - -7. Solve 3*a - 4*a + 19 = -4*k, 3*k + 12 = u*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2, c: 2, j: 4}. Give prob of sequence ijcc.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 24*b**2 + 21*b.\nAnswer: 3*b*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.3 and -231755.\nAnswer: 4704626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105101 - 2?\nAnswer: 105055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(46\/(-4) - 2). Let d(m) = -2*m + 6. Let b be d(7). Is c at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -5. Suppose 2*q - 48 = -5*b, 48 = 2*q + 12*b - 11*b. Calculate the least common multiple of q\/10*15\/20*10 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1630656 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 12:54 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {t: 4, s: 1, v: 2, u: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (1 - 1). Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58115543*r**6 + 50*r**2 - r + 238 wrt r.\nAnswer: 6973865160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 3734956*j + 33614606\/9.\nAnswer: -2*(j - 16807303)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:31 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/m*m\/m**(-2\/115)*m**(2\/59)*m\/(m*m**(-35\/3)))**(-2) assuming m is positive.\nAnswer: m**(-924848\/20355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let d = p - 6. Let o = 30 - 152\/5. Put 0.4, o, d in decreasing order.\nAnswer: 0.4, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2545741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-4*y + 4*y + y**2) + (-1 - 11 + 3)*(-y**2 - 2 + 2).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 2, i: 2, o: 2, d: 4}. Give prob of sequence umo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4984 or -3.71?\nAnswer: 4984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0649 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12060064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34192395, 34192396, 34192397, 34192398, 34192399?\nAnswer: 34192400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2179726328 rounded to 4 dps?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11698 in 1, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*b + 2*g + 52, 5*b = 10*g - 11*g + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11622*p + 331776 = 9114*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2.4545, -5\/2 in decreasing order.\nAnswer: 2.4545, 0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 64 - 64.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1212*m**4 - 5*m**2 + 5*m + 690. Let s(a) = -1214*a**4 - 6*a**2 + 6*a + 691. Let n(v) = -6*f(v) + 5*s(v). What is the first derivative of n(d) wrt d?\nAnswer: 4808*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -333. Let s(k) = -82545 + 27012 - 39008 + k**2 - 78459 + k. Let j be s(g). What is j rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 3. Suppose 4*r + 3*p = 13, 6*r + 2*p = 2*r + 10. Let w(h) be the second derivative of -h**2\/2 - 20*h. What is r*o(d) - 3*w(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 248*u**2 - 199*u**2 - 288*u**2 + 909*u**2 - 362*u**2 + 0.\nAnswer: -188*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*j - 265, 0 = -3*f + 5*f - 4*j - 116. Suppose 4*q - 240 = -f. Let h be (-1*2)\/((-63)\/504). Calculate the highest common factor of h and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83201.8 rounded to the nearest ten?\nAnswer: -83200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5003\/2 or 5?\nAnswer: 5003\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, m: 1}. What is prob of sequence im?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 - 69 - 77 - ((23 - 1) + (4 - 4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-10 - (-53 + 33))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:47 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, 2, 0, 1, -11.\nAnswer: -11, 0, 1, 2, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v**2 + 38*v**2 - 20*v**2 + 158. List the prime factors of l(0).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + 8 + 3 - 112*v + 114*v - 2*v**3 in the form i*v**3 + k*v**2 + g*v + j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9566013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13340349.\nAnswer: 3, 11, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhhgdzzggaghaoghag. Give prob of picking 2 a and 1 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/2 + 477*z**3 - 82035*z**2\/2 + 478344*z + 519840 = 0. What is z?\nAnswer: -1, 15, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4077853156.6795 from -3.\nAnswer: -4077853159.6795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**4 + 17*s**3 + 7*s**2 + 3. Let o(t) = 10*t**4 + 16*t**3 + 6*t**2 + 2. Let x(n) = -4*f(n) + 6*o(n). Factor x(r).\nAnswer: 4*r**2*(r + 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 9*j - 3. Let h(s) = -13*s**2 - 13*s - 4. Let m = -119 + 114. Calculate m*h(a) + 7*k(a).\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14593204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - v - 6. Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787020836.\nAnswer: 2, 7, 28107887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82967940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185041 is divided by 61627?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/(-430))\/(2\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i + 2. Let s be u(2). Suppose 0 = 5*h + 3*v + v + 10, -4*h + 3*v = -23. Solve -t + h = -s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3578 - 3107. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)\/(f\/f**(-4))*f**(-10)\/((f**1\/f*f)\/f) assuming f is positive.\nAnswer: f**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/5)))**16*n\/n**(-2\/5)*n**(2\/11)*(n**(2\/7))**(-5\/4)\/((n*n*n**(-2\/7))\/n*n*n\/n**(-4\/7)*n) assuming n is positive.\nAnswer: n**(2571\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326327 to the power of 1\/2, to the nearest integer?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u**2 - 127*u + 24. Let c be z(-10). Suppose 3*x - w - 6 = 0, 2*w - 2 = x + 1. Put -3, c, x in ascending order.\nAnswer: c, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(64\/84))\/((-1)\/(240\/35))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y - 1281. Suppose 10 = 2*v - 2. Let m(h) = -2*h**2 - 6. What is v*i(c) + m(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8089, 21643, 35211, 48799, 62413, 76059?\n\"Answer: h**3 + h**2 + 13544*h - 5457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + 6. Determine v(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001000 (base 2) in base 4?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*r - 1)*(2*r**2 - 3 + 3) - 806*r**3 + 154*r**3 + 2 - 945*r**3 to the form x*r**2 + f*r + l*r**3 + j and give l.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3087 (base 12) to base 2\nAnswer: -1010010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21891.\nAnswer: 3, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 - 16. Let s be j + 3\/((-9)\/3). Suppose 5*m = x + s, -267 = x + 4*m + 19. Round x to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*k**3*v**2 - 5615*k**3*v + 3*k**2*v**2 - 5*k*v + 9*k + 120*v**2 + 70 wrt k.\nAnswer: -1446*v**2 - 33690*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 154*v - 1121. What is the thousands digit of n(-114)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -4 + 16 + (-16 - -6) + (-7 - -5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14390*a + 733965. What is d(51)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*m - 381, 3*x - m = 127 + 103. Let i = -77 + x. Suppose -5*b + 2*q + 18 = -i*q, 4*b - 2*q = 16. Solve -k - 5 = -b*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2184)\/130)\/(-42)*(-15)\/24)\/(6\/(-40)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2045 or -2043?\nAnswer: -2045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 - 240. Is 295\/k*(-180)\/(-75) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 11. Let t be s(17). Let c be 10\/132 - (-1)\/t. Suppose 0 - 3 = 3*v. What is the nearest to v in c, -3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-1\/6)*p**6*p**(-2)*p*p*p\/p**(2\/19)*(p**3\/p**(2\/23))\/(p**(1\/4))**(-11\/2) assuming p is positive.\nAnswer: p**(129521\/10488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196545380*p**3 - 2*p**2 + 235671*p - 265?\nAnswer: -1179272280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83218341 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 125 + 37 = 0. Let o = -153 + c. Let w = -13 - o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6507 + 6506 - 319*n - 137*n.\nAnswer: -456*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-16)\/((-1040)\/355)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.91451 rounded to two dps?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 44*y**2 + 3*y + 14. Let t(i) = -44*i**2 - 4*i - 14. Let s(m) = -4*r(m) - 3*t(m). What is the derivative of s(h) wrt h?\nAnswer: -88*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1586)\/61 - -26)\/(-21). Solve -2\/5*b**3 + h*b - 8\/5*b**2 + 0 + 2\/5*b**5 + 8\/5*b**4 = 0 for b.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avvv when four letters picked without replacement from vvvvvvvvavvvvvv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38287255373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -464 + -5?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/23571 and 77\/12?\nAnswer: 94284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -12 (b) 0.7 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*b + 12. Put 1, b, 2 in decreasing order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**7\/42 + 29*b**6\/10 - b**4\/8 - 19*b**3\/6 - 59*b**2 - 25*b - 1. Find the second derivative of q(y) wrt y.\nAnswer: -60*y**2 + 2088*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 + 0 - 5 + 697*g.\nAnswer: 697*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*h + 2*h + 12, 2*h + 5*n = 31. Calculate the greatest common factor of 72 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 75230 + 8*m**2 - 75338.\nAnswer: 2*m**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*q - 28, 12 = -q - 4*c + 32. What is the remainder when 158 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 17702?\nAnswer: -17702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6769422, -13538844, -20308266?\nAnswer: -27077688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**4 - 8*u**4 - 14*u**4 + (4*u**3 - 3*u**3 + 6*u**3)*(0*u - 3*u + u)*(4 - 1 - 2) as k*u**2 + o*u**3 + t*u + h + r*u**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*46)\/((-9)\/((-783)\/(-58))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23. Put -4, u, 1 in descending order.\nAnswer: 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/13 less than 41\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 17865 = 18429 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 - q - 11. What is y(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658228 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 > 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -58*r + 3969. Calculate y(67).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 154*w + 19 - 608*w + 149*w + 151*w + 157*w. Let y(k) = k**2. Give y(a(h)).\nAnswer: 9*h**2 + 114*h + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -27.542 (b) -2\/3 (c) 0 (d) 0.4 (e) -0.4 (f) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = -a, 5*c = 82*a - 87*a + 25. Let d(h) = 3*h**2 + h - 3. Let s(q) = -2*q**2 - q + 3. What is a*d(p) + 2*s(p)?\nAnswer: 5*p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((44\/(-66))\/(21\/9))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - u = 16101, s + 3*u - 2266 - 951 = 0. List the prime factors of s.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l**3 + 6*l**2. Let w(a) = 287*a**3 - 77*a**2. Give -77*n(f) - 6*w(f).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -20. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -2\/13, -2150?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434 (base 5) in base 6?\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*k - 13888 = -36*k - 21*k for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37731\/2 - -19229. Let w = q - 354. Find the common denominator of 4\/23 and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199636 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 21 = 4*j + 14, 3*z = 3*j + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491746 is divided by 376?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25084387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((13000\/91)\/(-20) + -1 + 8). Solve -9*c + o = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (34 + (6578\/13)\/(-23))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3471222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.69*10777.\nAnswer: -7436.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1613907 divided by -537969.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19734532 to the nearest integer?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 - 4*w. Let l be ((-65)\/10)\/((-3)\/6). Suppose 7*q - l - 29 = 0. Is c(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10221099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*m + 9, -4*k = -2*k + 4*m - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 11. Give a(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 21*t + 41. Let u(f) = 42*f - 208. Let c be u(5). Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 122*w + 15790. Determine h(-157).\nAnswer: -3364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2265202317 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159787 is divided by 90.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c\/((c*c\/c**(-4\/9))\/c)*c)))\/(c*c**1))\/((c*c**(2\/5))\/c**(-8)) assuming c is positive.\nAnswer: c**(-443\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 - a**5\/12 + 7*a**4\/24 - 5*a**3\/6 - 2*a**2. Let n = 1 - -3. List the prime factors of q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = n + 2*x, -4*x - 4 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - 168\/(-98). Suppose 5*z - 20 = -a*p + 2*z, p - 4*z = 10. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1478 greater than -1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9 times -153594?\nAnswer: -4285272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -170, -0.3, -3063 in decreasing order.\nAnswer: 2, -0.3, -170, -3063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/17, 9, -133, -42?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 8*k - 24*k**2 + 24*k**2 - 8*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - 10*k**2 + 12*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/81*((-42)\/225)\/((-114)\/(-190))\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -81. Suppose -3*b - t = -2*b - 2, -3*b + 5*t = -v. Suppose -d + 5*f = -b - 50, 0 = 3*d - f - 165. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1590, -6561, -14848, -26451, -41370, -59605?\n\"Answer: -1658*h**2 + 3*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g**2 + 39*g**3 - 499*g**3 - 6*g**2 - 635*g**3.\nAnswer: -1095*g**3 - 105*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 339088*x - 338946. Determine t(1).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -226839\/16 at least as big as -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -0.02247.\nAnswer: 1.97753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 468.1827 weeks?\nAnswer: 283156896960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 13*v**2 + v - 10. Let d be h(-10). Suppose 2*g = -2*g + d. Suppose 170 = 5*w - g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268.3 - 1887855.\nAnswer: -1888123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 6, c: 1, r: 1, l: 1, x: 1}. Give prob of sequence rl.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -836.73 - -829. Let u = g - -7.33. Which is the biggest value? (a) -3.2 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(4*sqrt(7))*-5)**2 - sqrt(66)\/(sqrt(30)\/sqrt(5)*3).\nAnswer: -sqrt(11)\/3 + 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-6))\/((-1)\/(-1)). Let l be (d + -6)*2\/(-6). What is the derivative of -3*z + 3*z + 2*z**4 + 0*z**4 - l wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 greater than or equal to -16364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-24)\/(-2))*6\/15. Let 4*j**2 + f + 26*j - 14*j**2 + 0 - 20*j = 0. Calculate j.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -124*j**5\/3 - 844*j**4\/3 + 12320*j**3\/3 - 784*j**2 = 0.\nAnswer: -14, 0, 6\/31, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2) + 49*6550 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**33)))\/(t\/t**26) assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 34*n + 2568. Suppose 934 = 16*f + n. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -2, 49, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 798, 3185, 7164, 12735, 19898, 28653, 39000?\n\"Answer: 796*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*k + 34. Suppose -k*p + 52 - 8 = 0. Solve -2*g + 8 = 3*g + 3*h, p*g - 4*h = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -116\/1718007 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l = 1. Is (-2 + l + -13)*30\/(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 2, 7 in ascending order.\nAnswer: 2, 7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 11960*o**3 + 113 + 11958*o**3.\nAnswer: -2*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/30)\/(2\/27*9\/(-12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 22240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*x**2 - 17 + 8*x**2)*(3 - 2 - 2).\nAnswer: -x**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -16*x - 2. Suppose -p = 2*j - 12, -5*j - x = -2*p - 22. Solve 11 = 4*l - g + 2*g, l = -j*g - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - k)*(-4*k + 2*k + 3*k) + 927*k**2 - 5812*k**2 - 2648*k**2.\nAnswer: -7534*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.6 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 155*z**2. Let s(g) = -g + 4. Let j be s(7). Let d be b(j). Let k = -27891\/20 + d. Find the common denominator of 35\/16 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 + 204. What is the second derivative of 0*l**5 - 2*l**5 - 17*l + 0*l - 4*l**c wrt l?\nAnswer: -40*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z = -76*z + 120. What is the remainder when 25 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -6 + 5, k = 5*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*l = 5*l - 174, s - 45 = -l. Suppose 0 = 16*c - 2360 - 952. What is the remainder when c is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 - 18*y + 17. Let m be q(5). Let j = 0.227 + 1.573. Which is the third biggest value? (a) m (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.526 - -0.026. Suppose -4*k + 3*t = t - 2, 5*k = t - 2. Put k, b, 4\/7 in increasing order.\nAnswer: k, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/1905 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/191, -1\/4, 0.1, -174, 2\/3, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21194217?\nAnswer: 3, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {m: 6, e: 7, b: 5, f: 1}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooy. What is prob of sequence ooy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1164 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*r - 101*r = -223*r - 1138930. Round r to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518, 2538, 4558?\nAnswer: 6578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -212873\nAnswer: -21287.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118301899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 8\/9*u - 68 - 4\/9*u**2 - 2\/9*u**3. Factor o(v).\nAnswer: -2*(v + 2)*(3*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -406*y + 2. Let c(l) = 909*l. Give f(c(d)).\nAnswer: -369054*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.5 (c) -0.07 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4*k - 3*d, 35 = 4*k - 3*d. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.051 from -1947308.2621.\nAnswer: -1947306.2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4 = 5*b, -12*b + 11*b - h + 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 326, 466, 712, 1100?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3658+5\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3752965 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 148. Find the second derivative of 6 - 5*c - 23*c**2 - t - 3 - 3 wrt c.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3565 + 3584. Sort -1, -0.08, h in ascending order.\nAnswer: -1, -0.08, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.3, -4, 690, -1.2, 3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 16 + 5*x**2 - 9 - 4*x**2 - 9 to the form f*x + p*x**2 + a and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 974448427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0 + 1\/6*n**4 + 0*n**3 + 0*n**2 - 104*n. Let r(j) = 37*j - 2. What is y(r(d))?\nAnswer: 2738*d**2 - 296*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = z, -5 = -0*k - 2*k - z. What is the third biggest value in 4.5, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-33)\/(-6))\/(4\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 - q + 8. Give c(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3564308, -7128561, -10692818, -14257079, -17821344, -21385613, -24949886?\n\"Answer: -2*n**2 - 3564247*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 15\/2*h + 3\/4*h**4 + 51\/4*h**2 - 6*h**3.\nAnswer: 3*h*(h - 5)*(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2388 or 2390?\nAnswer: 2388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*n, 349*n - 168*n = -v + 174*n + 35 + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 205109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhpppuuhuxkx. Give prob of picking 2 h and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 754 = -l - l, 3*i + 5*l = -2257. Let d = i + 749. Factor -8\/7*s**2 + 0 + 0*s + 4\/7*s**d - 12\/7*s**3 + 0*s**4.\nAnswer: 4*s**2*(s - 2)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 + 12*j + 13*j - 53*j + 14*j + 16*j.\nAnswer: 2*j + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -23, -62, -113, -176, -251?\n\"Answer: -6*x**2 - 9*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 5*z**9\/504 + 7*z**5\/60 + 10*z**2. Find the third derivative of i(k) wrt k.\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692643?\nAnswer: 29, 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 922, 2056, 3644?\nAnswer: 5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/24 - h**5\/30 - h**4\/6 - 62*h**2. Let j(y) = -4*y**3 - 2*y**2 - 3*y. What is -3*d(u) + 4*j(u)?\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18751 - -7826.81249. Let k = -7825.8449 + v. Let t = k + -1.16. Round t to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1177, -1180, -1183, -1186, -1189?\n\"Answer: -3*s - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3522 and 33\/8186302?\nAnswer: 24558906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.062 + 0.338. Sort c, -37, -0.1 in descending order.\nAnswer: c, -0.1, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*k = -k. Solve k = -2*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1 - (0 + (2 + sqrt(11))**2) - (sqrt(88)\/sqrt(2) + (-5*(sqrt(11) + sqrt(11)*-1))**2))*1.\nAnswer: -14 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let z(t) be the third derivative of 16*t**5\/15 + t**4\/24 - 314*t**2. What is z(f(x))?\nAnswer: 64*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:57 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1131?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/11 in 1\/24, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2142 + 2147. Solve -4*t + 3*c = -s, 3*t - c + 6 = -2*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*m - 18 - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7 + 14*n + 2*n**2 - 27*n - 3*n**2. Suppose k + 0 + 5 = 0. What is the tens digit of y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278490 is divided by 27492.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -13. Let l(s) = -s**3 + 9*s**2 + 7*s - 11. Let d be l(t). Suppose -u - 3 = 0, -4*f + d = -3*f - u. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*h**(1\/5))*h))\/(h\/(h**3\/h*h)))**(13\/2) assuming h is positive.\nAnswer: h**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23331314 (base 5) to base 14.\nAnswer: -582b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43, 51, 63, 79, 99?\n\"Answer: 2*x**2 + 2*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 523 - 5?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmawwpymwymmmmp. Give prob of sequence pw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, 6\/53?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (175\/10*(-8)\/5)\/(-2) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 602\/4 + 4\/(-8). Let w = 171 + -256. Let v = w + o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101 and 909.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4811.914 centimeters to meters.\nAnswer: 48.11914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 12 = -118. Let f(p) = p**3 - 3*p**2 - 4*p + 5. Let t be f(6). What is the remainder when t\/3 - 8\/12 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 42*p + p**2 - 38*p - p**3 - 1 - 2*p**2 + 8*p**2. List the prime factors of y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93871 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62975 and 25190?\nAnswer: 125950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 5*g**2 + 0*g**2)*(-3 - 2 - 1) - 25*g**2 - 56*g**2 + 4*g**2.\nAnswer: -89*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 5. Let v be o(-10). Let w be 4\/10 + (-44)\/10. Let t be v\/(-10) - 2\/w. Solve z - 1 = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206 and 6.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 5*z - z)*(-1 + 2 - 3) - z - 2*z + 2*z + 3*z - 8*z - 3*z + (-2 + 2 - z)*(-3 - 3 + 7) to h*z + i and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 7 - 2 = 0. Let i be (0\/(-2))\/(y\/3). Suppose -3*b + 8 = b. Solve -b*u + 6 = -i*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 45*w - 18. Give z(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Let c be 2\/(r\/20000*4). Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32b3 (base 13) to base 8\nAnswer: 15643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 8) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/6 - 26*p**3 - 1129*p**2\/6 - 326*p = 0 for p.\nAnswer: -4, -3, 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:49 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2673771 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -6*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.0000644 - 83. Round r to 6 dps.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47755*v**3 + 11*v**2 - 3*v - 30979541 wrt v?\nAnswer: -143265*v**2 + 22*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) -0.6 (c) 0.4 (d) -11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48047606 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 divided by -686?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**3 - 2018*u**2 + 2682*u - 670.\nAnswer: 2*(u - 335)*(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 314?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**5 + 503559*m**4 - 10554525306*m**3 - 460064618376*m**2 - 222116100480*m + 227393489025 = 0. What is m?\nAnswer: -43, -1, 1\/2, 41985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 1. Calculate the highest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcqclzkzkzcic. What is prob of picking 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199*f**2 - 210 wrt f.\nAnswer: 398*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 242*t + 2541. Let o be z(10). Solve 8*d - 39 = o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1155, -2308, -3461?\n\"Answer: -1153*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (56\/2)\/(14\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 + 22 - -19) + 1059\/81.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -973*b - 388. What is the thousands digit of q(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**5 + 3434*g**2*l**3 - 3*g - 360*l**3 - l**2 + l wrt g.\nAnswer: -60*g**3 + 6868*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13824 is divided by 73?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49558 - 49558 - 4465*u)*(-1 + 3*u + 2 - 3).\nAnswer: -13395*u**2 + 8930*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3846245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 19*l + 51. Calculate the least common multiple of y(11) and 265.\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -89, -262, -609, -1190, -2065?\n\"Answer: -10*g**3 + 3*g**2 + 2*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*k - 12 = -4, k - 4 = 0. Sort -2, m, -5, -1 in descending order.\nAnswer: m, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910538534.\nAnswer: 2, 9029, 50423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 31, 38, 49?\n\"Answer: 2*c**2 - 3*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8584416111 - -8584416400.00001044. Let t = -289 + h. What is t rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*h + 32 + 40, 5*a + h = 225. What is the highest common factor of 138 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/2 - (-42827)\/(-1895)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/4*0. Suppose -6*i + 4*i - 12 = d. Let n be (-2)\/6*1*i. Solve 0 = -5*m - 3 - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 9*k - 105. Suppose k*o = 28*o + 1267. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 89 = -l, 4*j = 6*j + l - 172. Let x(o) = 59*o + 1. Let z be x(1). Suppose z = n + n. What is the remainder when j is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + l + (3 - 5 + 0)*(1 - l - 1) + 4 - 4 - 5*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 1. Let p = -5 + 4. Let l(o) = 16*o - 6*o**2 - 16*o + 5 - 4*o**3. Let s(g) = p*l(g) - 6*n(g). What is the derivative of s(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -172*o - 35390 + 182*o + 6*o**2 + 35399 - o**3. Suppose 4*u + 0*u = 32. Give c(u).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43616 and 274.\nAnswer: 5975392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 544816879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179394283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13337, 53099, 119367, 212141, 331421, 477207?\nAnswer: 649499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7664 to two dps.\nAnswer: -6.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 - 20 = -3*f, -3*f - 5*c - 4 = 0. Let j be ((-1 + 3)\/1)\/f. Let q = j - -3. Solve -q*x + 33 = 5*w, 7*w - 2*w - x - 23 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022001302 (base 4) in base 10?\nAnswer: 1351794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -58482002\nAnswer: -5\/58482002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -3)\/(-4*(-12)\/992). Suppose 14 - p = -16*b. Solve -b = h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let b = 6 + -4. Let a = 11 + -15. Let u = a + 9. Let x(y) = 3*y. What is b*x(c) + u*z(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w*w**(4\/9)*w)\/w**(2\/19))\/((w**(-3\/11)\/w*w)\/w**12) assuming w is positive.\nAnswer: w**(33128\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 5*l - 7. Let j be x(-6). Let m(z) = 150258*z + 107*z**2 - 150258*z. What is the hundreds digit of m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/33)\/(740\/2035)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1494 and 2241.\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 402, 882, 1566, 2460?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -675452.606 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k - 1. Let t(o) = 18*o**2 - 6*o + 6. Give -6*n(m) - t(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/4123 + 276153\/181412. What is the common denominator of z and ((-219)\/(-6))\/(0 - (16 - 2))?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26918 is divided by 1283?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.75 - 32.45. Which is the nearest to 0? (a) q (b) 2\/11 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*p + 48750, 2*p - 22*h - 32474 = -27*h. Does 91 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2. Suppose -5*y - 6*h + 4 = -8*h, 0 = y - 2*h - 4. Let s(l) be the second derivative of y*l**2 - 10*l - 1\/3*l**3 + 0. Determine x(s(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 11:07 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = -2*d + 193, -d - 5*c = -129. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 247923 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 1040278?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 58. Let n = r + 68. Let j be (-2)\/7 + n\/28. Solve -4*i + j*o + 11 = 0, -8 = -2*o - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 0.28. Sort 0.2, -2\/9, o in descending order.\nAnswer: 0.2, o, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - -40?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264429607?\nAnswer: 13, 20340739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 + 121*z + 112 + 153 - 132*z in the form s*z + u and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -5*b + 16*b. Suppose -7*c + b = -3*c, 0 = -u + 4*c - 12. Suppose 5*h = 2*h + 165. Calculate the remainder when h is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 = 24. Let v = -971419\/3 - -323806. What is the third smallest value in q, -3\/2, v, 0.03?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-1*-3 - (sqrt(189) + (-2*sqrt(189)*-6 - sqrt(189))))\/(5*sqrt(7)*3 - 3*sqrt(252)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16587250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 16202433?\nAnswer: 16202343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-1)\/(81454\/6788 + -12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -4. Let m(d) = 2*d. Let n(r) = -r**2 - 4*r + 1. Let v(q) = -2*m(q) - n(q). Let u be v(w). What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -86\/11, 0.068, 2\/9 in descending order.\nAnswer: 5, 2\/9, 0.2, 0.068, -86\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31959, -1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163739730 + 163739730 - 5790*u.\nAnswer: -5790*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 2027*v**4\/6 + 3533*v**3\/6 - 2977*v. What is the second derivative of p(z) wrt z?\nAnswer: 8108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*8\/12 - 0. Suppose -5*s - 26 = q, a*q = -0*q + 2*s - 38. What is the common denominator of 1690\/(-264) - (-2)\/q and 11\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11344*n - 404. Is b(3) a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 121120111211210?\nAnswer: -121120111211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**2 + 0*d + 1\/30*d**5 + 0*d**4 - 1\/120*d**6 + 0 + 0*d**3. What is the third derivative of w(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 26. Suppose 7*n + 799 = -230. Let z = l - n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from {e: 10, q: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*p + 5 = 0, 2*p - 15 = -13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 638\/(-2465) - (-2)\/(-20)*-2?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11527951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**3 - 15*x**2\/2 - 42*x - 49. Solve j(z) = 0 for z.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/767 in 1.64, -2, -1, 1\/9, 3\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -88. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1388, 5521, 12410, 22055, 34456?\nAnswer: 49613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 3)*60\/9. Suppose -67 = -u - b. Suppose -2*c + 20 = -c + 4*z, 0 = 3*c + 5*z - 46. Calculate the remainder when u is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from {q: 7, e: 3, g: 3}?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 59. Let i = -0.13 + -17.87. Let t = l - i. Which is the third smallest value? (a) -2 (b) 1\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2030636 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -106. Let u = 10 - 19. Let w = u + b. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.4869um in nanometers?\nAnswer: 495486.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -133.31248788.\nAnswer: -138.31248788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 12*l**2 + 13*l + 2. Let r be j(13). Determine a, given that -19 - 5*a**r + 7 + 32 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 48\/(-4 - -7). Which is smaller: -18 or p?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000731857 rounded to five decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1826 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2721014?\nAnswer: 2, 1360507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120321770.\nAnswer: 2, 5, 89, 135193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -397571, -795104, -1192633, -1590158, -1987679?\n\"Answer: 2*a**2 - 397539*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1036, 1534, 2024, 2506, 2980, 3446?\nAnswer: 3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7163 - -21495. What are the prime factors of x?\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + 0.86. What is the third biggest value in g, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/44 - (-17 + 5460\/143)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 26 + 100. Suppose 0 = -c - 1 + j. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -587, -1289, -2279, -3563, -5147?\nAnswer: -7037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62725, 250678, 563905, 1002412, 1566205, 2255290, 3069673?\nAnswer: 4009360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3697415138 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/105*(-3 + (-75)\/(-10)) - 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 2.1. Let m = 702 - 702.4. Let q = 24 - 25. Which is the closest to m? (a) q (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvyn when four letters picked without replacement from {y: 5, b: 2, n: 8, g: 2, v: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -27. Let d be 4\/3*((-99)\/4)\/k. Solve -4*v = 4*f, -5*f - d = -f + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 + 13*y - 1. Give g(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {c: 2, f: 1, z: 1, o: 1, i: 1, b: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3631134\/1905092 + (-72)\/57.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21703 divided by -203\nAnswer: -21703\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -373.3 - -372.8. What is the third smallest value in -8, -1, k, -0.4, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10314.9 times -25.2\nAnswer: 259935.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -5 - -18 - (-11 - 0) - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 197112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -37*l - 783. Calculate the remainder when i(-23) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 7. Let n be v(-4). What is the highest common factor of 26 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y - 40. Let l = 98 + -102. Let s = l - y. Calculate the remainder when 43 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -28. What is the units digit of ((-3)\/(-6))\/((-1)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245006 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**2 - 1\/14*s**3 + 10*s + 0 + 1\/84*s**4. Let h(g) = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013021 - 0?\nAnswer: 1013021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 12 - (6 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1 - 1998\/(-21). Let n = f + -12991\/140. Calculate the common denominator of (-1261)\/156 + 4\/6 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3079637307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7829490 = -5*l, -3*b + 7*b - 20 = 0. Round l to the nearest 10000.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 1) + 1 - -1. Suppose -2*x + 5*n = -61, 4*x - n - 113 = -0*n. Let i = -27 + x. Sort -3, w, i.\nAnswer: w, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 60*u - 62*u + 4*c, 3*c - 60 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 4832?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12404880 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(2\/6). Let g(m) = -m**3 + 3*m**2 + 4*m + 2. Let d be g(4). Find the first derivative of 2 - 1 - h - d*p - 1 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - 5272)\/72 - -5.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 586?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s - 9 = -5*o - 265, -2*o + 42*s - 106 + 90 = 44*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 301*p**6\/10 - 4651*p**2\/2 - 4871*p. Differentiate f(q) wrt q.\nAnswer: 3612*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4. Suppose 16*b = -6*b + 44. What is the nearest to b in -0.4, j, -2\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 10*g**2 - 11*g + 10. Let y be j(-9). Let u be (12\/y)\/((-1)\/(-7)). Does 35 divide 3\/(9\/6) + u*81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(50) + -3)**2.\nAnswer: -30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -494, -608, 2, -1 in descending order.\nAnswer: 2, -1, -494, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.52124kg in micrograms?\nAnswer: 41521240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 29. Let a = x - 22. Suppose -a*p + 5 + 10 = 0. Solve -d = p*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*(z*z\/(z*((z\/((z**13*z)\/z))\/z)\/z))\/z)\/(z**(-3)*z*z**(-3\/11)) assuming z is positive.\nAnswer: z**(347\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 - 21780*l**2\/7 + 1728528*l\/7 - 12427136\/7 = 0. Calculate l.\nAnswer: -11422\/7, 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 3341 - 559 = 0. List the prime factors of d.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1309283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 38*-0.03288\nAnswer: -1.24944","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/148374 and 70\/1162263.\nAnswer: 6973578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9*(-2)\/(8\/6). Which is the second smallest value? (a) m (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 4)*(-2*z + 1 - 1) - z + 2 - 2)*(-z**3 + 3*z**3 + 4*z**3 + z**2).\nAnswer: -30*z**4 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -3 (c) 4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14790610 divided by -2.\nAnswer: 7395305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/4 - 11*u**3\/3 - 9*u**2\/2 + 9*u - 192. Calculate l(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2266, -629, 1008, 2645, 4282?\nAnswer: 5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(40)\/sqrt(4))\/(1*sqrt(720))*-3 - (sqrt(22) + sqrt(88)\/(-3*sqrt(4) + sqrt(4)))\/((sqrt(77)*-2 - sqrt(77))\/sqrt(7)))**2.\nAnswer: 121\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*w - 77, -8 = -3*w - 5*z + 41. Let g = 15 - w. What is the tens digit of ((-3)\/2)\/(g - 3582\/(-1200))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t + 20 = 69*t. What is the second derivative of 102*m**4 - 318*m**t + 5*m**2 + 106*m**4 + 104*m**4 + m**2 + 68*m wrt m?\nAnswer: -72*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(((sqrt(1700)*-2 - sqrt(1700) - sqrt(1700)) + 0)**2 - (2*sqrt(1700) + -3)))*4.\nAnswer: -480*sqrt(17) + 652868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*i - 9 = 0, -i - 16 = -4*o + 1. Suppose o*v + 1290 = 10*v. Let m = v + -7. What is the highest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865856.96 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123059098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -374*x**5\/5 - 196*x + 421. Differentiate l(i) with respect to i.\nAnswer: -1496*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/24 - 7*c**3\/6 - c**2. Let m be j(-7). Suppose 2 + 4 = 2*f. Solve 4*u + 13 + f = m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -9.22\nAnswer: 10.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8712, 17419, 26106, 34761, 43372, 51927, 60414, 68821?\n\"Answer: -2*p**3 + 2*p**2 + 8715*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 51 = 3*h, -h + 61*s - 25 = 62*s for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -34. Let k = o + 11. Let p(z) = 3*z**2 - 6. Suppose i = 4 + 1. Let f(h) = 4*h**2 - 7. What is i*f(t) + k*p(t)?\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 23. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:30 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 - 8*d + 13. Calculate the smallest common multiple of v(7) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:48 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 46214519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-45)\/42)*3. Suppose 4*l - 6 = n. Suppose 11 = 3*u - m, u - l*m - 1 = 4*u. Solve 2*b - 4 = u*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/((-77)\/(-72)) + 10. Let c = -13 - -13. Put 0.2, -1, v, c in decreasing order.\nAnswer: 0.2, c, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006250454.\nAnswer: 2, 3, 11, 41, 123953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p, 0*m = 4*m - 4*p. Let g be (m - 105385\/25) + (-2)\/(-5). Let q = -1810 - g. Round q to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 + 2001*r**4 + 106275*r**3 - 812385*r**2 + 1787562*r - 1083456 = 0. Calculate r.\nAnswer: -608, -66, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -33*a**2. Let q(v) = 6*v**2. Calculate q(u(n)).\nAnswer: 6534*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 5 - 38 - -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 - (-5 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6 + (4 - 9)). Is 10 a factor of (-2 + l)\/((-4)\/(-3660)*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601934 is divided by 101.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/33)\/((48\/60)\/((-6)\/(-90)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0213 and 0.019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 63. What is the second derivative of p*w - 81*w**4 - 14*w**4 + 13 + 3*w**4 + 6*w**4 wrt w?\nAnswer: -1032*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63780 is divided by 21256.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by (-16)\/36 - (-2096)\/18.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -38*v - 178 + 188 - 43*v - 39*v + 121*v. Let t = -20 + 14. Determine i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/478 + 941\/2390. Let r = 10 - 4. Let w = r + -2. Is q bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/10)*m)\/m)\/m*m**(-1)*m*(m**(-2\/9))**(-2\/49) assuming m is positive.\nAnswer: m**(-3929\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. What is the lowest common multiple of 18 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 5:22 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-3)\/2)\/(25 - (-10439)\/(-418))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11955340 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 637623716 to the power of 1\/3, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 2. Let a be m(-3). Solve -q - 20 = -4*j, 0*j - q = 4*j - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3223601, 5, -4 in decreasing order.\nAnswer: 3223601, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (4 - (5 - 9)) + -31?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6837098246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:29 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753047044 divided by 3784156.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + r - 4*r - 12 = 0, 5*r + 15 = -5*a. Let d = a + 2. Is (14\/4*-4)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -68?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -200*c - 195*c + 397*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 488.6655 years?\nAnswer: 48.86655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j + 641*j**2 + 42*j - 2.\nAnswer: 641*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155047363\/796866 + 1\/113838. Let y = g + 194. What is the second biggest value in y, -4, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 34. Suppose 49*i = 53*i - 3*f - 23, 0 = -4*i + 5*f + 17. Determine z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539 and 55?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 57941961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Work out 189.47725 * 5.\nAnswer: 947.38625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32174, 64323, 96472, 128621?\n\"Answer: 32149*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 19330*h + 167794800.\nAnswer: -5*(h - 8040)*(h + 4174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from {j: 10, t: 9}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 1. Let k be u(0). Let o be k\/7 - 125\/(-7). Let f be 7\/(-2)*o\/(-21). Solve 0*n - f = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/((-21)\/135). Which is greater: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + 4\/8*-12. Let h be ((-2)\/4)\/(g + (-180)\/(-24)). Is -193 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/21)\/((-5)\/6)*5. Let i(k) = 8*k - 29. Let x be i(g). Solve -4*j = -x*z - 10, 5*z + 5 = -2*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 5*s**2 + 4671*s - 4671*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637945 is divided by 113?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4125 - -6063. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -3\/7, 7770 in ascending order.\nAnswer: -7\/4, -3\/7, 7770","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -27*a - 2398. Let x be f(-89). Solve 16 = 4*j + x*b - 10, -3*b = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-8902)\/(-22))\/1. Let f = m - -403. Factor -f*r + 2\/11*r**2 + 0 + 2\/11*r**3.\nAnswer: 2*r*(r - 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s + 5. Let h be z(5). Let g = h + 8. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 6329331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -93*f + 94*f - 57, -163 = -4*f + 3*y. Let g(r) = -r**3 + 2*r**2 + 7*r + 7. What is the remainder when g(-5) is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.217 + 0.083. Which is the closest to 0.1? (a) -2 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -827915, -827916, -827917, -827918, -827919, -827920?\n\"Answer: -s - 827914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/4)\/(2 - 141\/70).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-6))\/(7\/14). Solve 4*c + 4 = 2*d - 10, d = -2*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/157 + 899\/2355. Let t(p) be the second derivative of z*p**3 - 8\/75*p**6 + 0 + 9\/25*p**5 + 0*p**2 - 2\/5*p**4 + 8*p. Suppose t(h) = 0. Calculate h.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -202470 and -594874.\nAnswer: -797344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = -d, d + 2 = -4*a - 5. Let j = 1 - 1. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (11\/(-14) + (-4)\/(-14))*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692841422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 - 2*p. Let r be g(4). Let h = -22 - r. Suppose 3 = 5*b - 4*b, 0 = -h*w + 3*b + 23. Calculate the remainder when 79 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*d + 90 = 0. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -34 + 15 + (36 - -76).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/47, -3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 784 by 8.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-280)\/48)*4\/102)\/(-2).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7452450 + 138?\nAnswer: 7452588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbbbbbwbw. Give prob of picking 3 b.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 765*t - 49. Let s be a(1). Let j = 720 - s. Calculate the smallest common multiple of 132 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591 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: b\"What is the xth term of 2485, 4983, 7481?\n\"Answer: 2498*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 9*g**2 + 8*g. Calculate the smallest common multiple of u(-6) and (-25)\/(-1*(-6 - (-100)\/16)*4).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -286, -421?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.336 + -0.246. Let i = 0.91 + r. Let g = 11 - 7. Which is the third smallest value? (a) i (b) -6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11619, -23420, -35221, -47022, -58823?\nAnswer: -70624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*n + 41 - 227, 3*a + n - 267 = 0. Let v = a + -86. Suppose 3*j - v*j + 15 = 0. Solve 4*d - j - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -381*g + 532 wrt g.\nAnswer: -381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1814 in decreasing order.\nAnswer: 1814, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2633782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92824987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 2646387*y**3 - 583540897032*y**2 + 32102755156560*y.\nAnswer: -3*y*(y - 55)*(y + 441092)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m**3 - m**2 + m - 1. Determine i(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6921 divided by 46093?\nAnswer: 6921\/46093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24729.5221 rounded to the nearest 100?\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 8*x**2. Let m be f(8). Suppose 5*i = -m*n + 2*n + 9, -n + 5*i = 17. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 2\/5, -0.5, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 341*t**2 - 698*t**2 + 355*t**2. Let n(s) = 2*s - 2*s + 0*s**2 + 30 + s**2. What is g(n(x))?\nAnswer: -2*x**4 - 120*x**2 - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -463, -1046, -1865?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/14*-1)\/(1254\/304).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132740137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 - 4*p**2 - 8*p**2 as h*p + w + b*p**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -4002123020?\nAnswer: -4002123020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -451906*g**4 + 210197*g**2 wrt g?\nAnswer: -10845744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2201.88 + 2202. Which is the third biggest value? (a) 7 (b) -2 (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**3 + 0*g**2 + 54*g**3 - 150*g**3 - 4*g**2.\nAnswer: -38*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 74*z - 149*z + 72*z - z**3. Let u(a) = -2*a**3 - 5*a. Suppose -i = -0*i + 5. Calculate i*p(n) + 3*u(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218 and 468.\nAnswer: 51012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6326 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 2178?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*g = 418*g + 270 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25329766?\nAnswer: 2, 7, 11, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - -216. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {c: 13, v: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11010120002 (base 3) to base 11\nAnswer: -56113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 181\/105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + sqrt(117) + sqrt(117) + (sqrt(117)*1 + -2 - sqrt(117)).\nAnswer: -2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 5)*(4 - -1). Suppose -2*i = -a*i. Suppose y + 4*y - 75 = i. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14*o + 3 - 3.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689537 is divided by 3388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -76913 (base 11) to base 3\nAnswer: -12200001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23847 - 23847.1. What is the nearest to c in -2.4, 5.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -93883.\nAnswer: -7\/93883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3 + 579*l**2\/2 - 7056*l + 3456 = 0.\nAnswer: 1\/2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v + 2. Let l be t(-6). Let g(u) = 4*u - 2. Let k be ((-4)\/10 - 21\/(-15)) + 2. Let b(h) = -3*h + 1. What is k*b(n) + l*g(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, d: 1}. Give prob of sequence ccd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70930 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/12 - 3*l**2\/2 + 1. Let p(v) be the second derivative of n(v). Let o(b) = 2*b**2. What is p(o(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9 = 1. Let q(d) = -d**3 + 3*d**2 + 4*d**2 - 5*d + 17 - 22. Let f be q(5). What is the greatest common factor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25685611, -51371216, -77056825, -102742438, -128428055?\nAnswer: -154113676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or 72?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10601 + -5514. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -575.49, -12 in descending order.\nAnswer: 0.4, -12, -575.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -7 - (18 + -41 + 29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 871 = 3*u, 1 = -w - 0*w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423082 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.3 - 8. Let p = -0.1 - -0.1. Let u = 4 - 3. What is the nearest to u in -0.5, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/7, -1\/6, -279095, -1\/3, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**2\/2 - 11*s - 4. Let z be y(-11). Solve z*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.07691 (b) 30 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**4 + 3*j. Let y(v) = -17*v**4 - 7*v. Let c = 1 + 12. Let z(m) = c*q(m) + 6*y(m). Find the second derivative of z(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:02 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -5*k - 4*o + 14, -4*k + 2*o - 16 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146a236 (base 11) to base 6.\nAnswer: 125541414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.31. Let o = -0.69 + v. What is the nearest to o in 0.1, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5208 and 20664?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 3. Calculate the remainder when w(12) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 21*s**2 + 27*s - 33. Let f(k) = 2*k**3 - 41*k**2 + 54*k - 65. Let u(v) = 3*f(v) - 5*x(v). What is the tens digit of u(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-42)*1)\/(16\/28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 84808 = -4*a, 0*n = n + a - 42402. Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/4))\/((q\/q**(-6\/11))\/q*q))**(-3\/2)\/((q**(3\/7)*q)**(-28))**(-4\/5) assuming q is positive.\nAnswer: q**(-2645\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -435 - -21?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 583*j + 388*j = 778, 0 = -5*i + 4*j + 2 + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(198)\/(sqrt(90)\/(-1*sqrt(10))))\/(sqrt(891)*-3 + (sqrt(11) - sqrt(33)\/sqrt(3)*-5)).\nAnswer: 20*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16631592 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glwjglgeejgglgljegg. Give prob of sequence jj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/12 + -1)\/((-234)\/6766344) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*l - 4, 2*l + 12*i - 11*i = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.11 + -1.21. Let y = 6 + -5.9. Let i = m + y. Which is the nearest to -0.1? (a) -1 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/(-16))\/(3\/52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (531 - 531 - 12*y**3)*(111 + 7*y - 111).\nAnswer: -84*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 2*y - 1. Let a be s(2). Let o = a - -6. Suppose o = -3*q + 13. Solve z + z = -q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-928)\/22 - (45\/(-66) + (-22)\/704*-16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3 + 6*t + 70*t**2 + 6*t + 47*t + 4*t**3 + 6*t = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*x - 0 + 5, 0 = -3*x - 15. Suppose 5*u - 3*u - q*a = 18, a + 37 = 3*u. Let t(h) = -h**3 + 14*h**2 + 4*h - 23. Is 12 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w)\/w**6*((w*w**(-2\/7))\/w)\/w*w*w\/w**(-4\/7) assuming w is positive.\nAnswer: w**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:02 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/8 - 921*z**4\/2 + 1127295*z**3\/8 + 1134675*z**2\/4.\nAnswer: 3*z**2*(z - 615)**2*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 41. Let i = 19 + o. Suppose 0 = 2*d - 4*v - 18, -1 + 4 = -3*d - i*v. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:58 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o - 1. Let a be (4 - 1)\/3 + 0. Let s(u) = u**3 - 6*u**2 - 7*u + 5. Let x(f) = a*s(f) - 2*p(f). Calculate x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, -5\/3, 269, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = v - 21, -4*v = -2*k - 64. Suppose 2*w = -2*i + v, -29 - 11 = -5*i - 4*w. Solve 8 = i*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r\/r**(-1\/3))\/(r\/(r*r\/(r*(r\/(r*(r\/r**1)\/r*r*r))\/r)))**(-19\/2) assuming r is positive.\nAnswer: r**(-268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -32, -53, -80, -113, -152?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10620.21 and -0.8?\nAnswer: 10621.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 5. Let p = 293 + -288. Give m(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 77 = v, -z - 3*v = -5 - 41. Is z < 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(136)\/(sqrt(56)\/sqrt(343)))**2.\nAnswer: -1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14446002 (base 8) to base 6.\nAnswer: -154352242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3018 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 63*n + 128. Let b(a) = -a + 86. Calculate s(b(p)).\nAnswer: -63*p + 5546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -0.1297712263.\nAnswer: -15.1297712263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n - 159*n - 163*n + 487*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 35425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 2*p**5\/15 - 5*p**4\/24 + 2*p**3\/3 + 47*p**2. What is the second derivative of c(u) wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1503\/842099 or 0?\nAnswer: 1503\/842099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(5\/(200\/(-12)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, -551, 1 in descending order.\nAnswer: 1, 0, -4, -5, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 + 6*t - 5. Let m be x(4). Suppose -1 = 2*n + 5*u, 0 = -n + u - 1 - m. Let h = -5\/2 - n. Sort 2, 1, h in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1232)\/147 + (-8)\/28 - -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -8. Let h(p) = -p - 6. Let j be h(w). Suppose -j*n + 16 = n. Calculate the least common multiple of 22 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -504*u + 22144. Calculate x(44).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001540513 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7556.246 + 0.\nAnswer: 7556.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3\/((-9)\/3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 - 189054*q - 2457364 = 0.\nAnswer: -94514, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168790.\nAnswer: 2, 5, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120531 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 240.028303307 and -8?\nAnswer: 248.028303307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1288*w**2 + 10797*w**2 + 32*w + 3415*w**2 + 1176*w**2 - 33*w to m*w**2 + x + q*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/9 - 91*f**4\/9 + 179*f**3\/9 - 89*f**2\/9.\nAnswer: f**2*(f - 89)*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -15.961 (c) 127 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29\/8 - 25\/8. Factor -1\/2*r - 1\/2*r**2 + 1\/2 + y*r**3.\nAnswer: (r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -3) + -7 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27152 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h. What is the nearest to 1 in 0.4, -0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 162386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or -130?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 5.98. Let m = -6.2 + t. Which is the third biggest value? (a) -4 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/99)\/((-3)\/(-44)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 501 (base 11) to base 4\nAnswer: 21132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*v - 19 = -13, -3*v + 9 = 2*d. Suppose 2*h + 384 = 4*m - 1324, -3*h = d. What is the remainder when m is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 - 6*k**2 - 4*k - 3. Let v(c) = -17*c**3 + 13*c**2 + 8*c + 7. Let f(j) = -13*m(j) - 6*v(j). Let t be f(1). Sort 2, 5, t.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 1390 + 718 + 714 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -104122161 (base 7) to base 12\nAnswer: -21194a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*r**6 - 2*r**2 + 52 wrt r?\nAnswer: -9600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/315)\/(3\/(-5)). Let i = 3 - 8. Which is the nearest to -0.02? (a) i (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 + 1192458*v**3 + 118503494679*v**2 + 1421913153276*v + 4265610678252 = 0.\nAnswer: -198737, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -15 - 4 - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 46 - 37 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.9 + -71. Let x = 3.9 - y. Which is the nearest to -1? (a) -0.5 (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27147173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**3 - 3*k + 3*k + 0*k.\nAnswer: 65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-50)*(-69)\/(-46).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 9. Let f(p) = 109 - 109 + r*p. Let j(c) = c. Let z(q) = -30*q. Let i(s) = 66*j(s) + 2*z(s). Determine f(i(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 0, 5 in ascending order.\nAnswer: -3, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4976 + -34830\/7. Which is greater: 919 or n?\nAnswer: 919","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 4*o**2 - 2*o - 2. Calculate q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5 - 81*k**4 - 105*k**3 + 45*k**2 + 120*k + 36 = 0. What is k?\nAnswer: -3, -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8572*p**2 - 2*p + 2206?\nAnswer: 17144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/30 + 7*x**4\/24 - x**3\/6 + 6*x**2. What is the tens digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585684.6 years to months.\nAnswer: 7028215.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxexrrrrxjxxjrax. Give prob of picking 1 e, 1 x, and 1 a.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127435830 - -8.\nAnswer: 127435838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**7\/840 + l**6\/45 - l**5\/60 - l**4\/12 + 3*l**3 - 7*l - 77. Let d(t) be the third derivative of c(t). Give d(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 13. Let h(f) = 18*f - 32. What is 5*h(c) - 12*x(c)?\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3870 and 1829478.\nAnswer: 27442170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9267.4 + 4.144\nAnswer: -9263.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 4*w**2 + 5*w + 22. What is the remainder when f(5) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38961c (base 14) to base 3.\nAnswer: 10122220100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428 by 10.\nAnswer: -214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 1. Let c(m) be the second derivative of m**3\/3 - m**2 + 44*m. Calculate 2*c(o) - 3*i(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j**2. Suppose 18*y - 100 = -28. Let n(l) = 146 + 20*l - 146 - y*l. Give u(n(b)).\nAnswer: -3840*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 1 q when three letters picked without replacement from hfpfhqbpl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1419049 + 356711. Let i = b - -1062338.11999954. Let v = 0.12 - i. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*t - 185*t - 497*t = -86*t + 19838 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 10. What is v(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 41 = -0*y - 2*s, 6 = -3*s. Solve -i = -y*i - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (108\/2)\/((-55)\/(-935))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 - 12 = -2526*k - 4745 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**6*v)*v**5)\/(v**(-1\/2))**(1\/30))**(-25) assuming v is positive.\nAnswer: v**(-3005\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 2*h + 14*h - 5*h - 9*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -17. Let l = -227 + 225. Let z be (l\/(-3))\/((-52)\/39). What is the third biggest value in z, n, 1\/6, 3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 8 + 6*b.\nAnswer: 6*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-102)*-4*7*885\/(-413)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*f - 12, -13*f = -4*c - 17*f + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from jjffffj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, g = -b - 2*g - 85. Let n(u) = -9*u**3 - u**2 - 4*u + 8. Let f be n(-5). Let q = b + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -6*l - 2800. Let p = l - -442. Let j(a) = 16*a + 4. Let v(t) = -3*t - 1. Let z(i) = 2*j(i) + 11*v(i). Let m(c) = 4. What is p*m(s) - 4*z(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14069 divided by -1279\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmaqoqo. Give prob of sequence qo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/4 + 245*a**4\/6 + a + 313. Determine j so that h(j) = 0.\nAnswer: 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:19 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 40. Let w(j) = -j**2 - 14*j - 20. Let h be w(k). Is 185 + -2*(-5 + h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 2\/21, -19?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - 60)\/(3 + -2) + 10\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 200 = -3*k. Let l(z) = -k*z + z**2 - 31*z + 71*z. Let p(w) = -4*w. Give p(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377992592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**12*u*u)\/u))\/(u*u\/(u\/(u\/(u\/u**(6\/13)*u)))*u) assuming u is positive.\nAnswer: u**(-188\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15648, 31299, 46946, 62589, 78228, 93863?\nAnswer: 109494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -77 - (1 - 2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -3) + 8 - -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2*c. Let w(l) = -63*l + 2*l**2 + 68*l - 4*l**2. What is 2*w(q) + 5*y(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 5*m**3 - 30*m**2 - 20*m + 40 = 0. What is m?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 905679.4 milliseconds in microseconds?\nAnswer: 905679400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.7?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 107, -0.02, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*230\/(-4). Let v = d - -73. What is the greatest common divisor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 398529, 398419, 398309, 398199, 398089, 397979?\n\"Answer: -110*n + 398639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -526525780*z**5 + 372918*z**2 - 324 wrt z?\nAnswer: -31591546800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 14*b - 24*b - 3*m - 15, -3*b - m + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/2*(-240)\/(-15040))\/3)\/(3\/3)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.4, -3.35, 1\/3, 1674, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 3*v**2 - 7*v. What is k(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, w: 1, h: 1, c: 2, f: 6}. Give prob of sequence ff.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/9 + (-16)\/(-72). Let i = 9 + w. Suppose i*s + 4*b = 71 + 23, 5*s + 4*b = 235. What is the remainder when s is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 + 9*l - 6. Let d be f(-10). Is d not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 18) + (4 - 2). Let y(v) = 20*v + 100. Let k be y(-5). What is the units digit of -1 - (k - d)*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/10 + ((-204)\/(-30) - 7). Let o(v) be the second derivative of 0*v**r - 1\/20*v**5 - 1\/6*v**4 + 0 - 28*v + 1\/2*v**2. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164300816.9 to the nearest 1000.\nAnswer: -164301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -801\/2*d**3 - 219\/2*d**2 - 465\/2*d**4 - 63\/2*d**5 + 0 + 90*d = 0.\nAnswer: -5, -12\/7, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139965, -140041, -140119, -140199, -140281, -140365?\nAnswer: -140451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 150*d + 53. Sort -47, d, 16 in increasing order.\nAnswer: -47, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*((-13)\/(-5))\/(57\/855)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67678425 divided by 23475.\nAnswer: -2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j**3 + 21*j**2 + 58*j - 29. What are the prime factors of d(-6)?\nAnswer: 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 9) + 0 + 52\/(-20)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3 + -2 + -1 + 250\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.605 - -7.385. Which is bigger: n or -34\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 2*d - 21. Calculate the remainder when s(6) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0535879 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 68. Is v(8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l**3 + l**3 - 2*l**3)*(-36*l - 4*l + 16*l) to q*l**3 + s*l**2 + p + n*l + i*l**4 and give i.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72889.25 millilitres?\nAnswer: 72.88925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8094.\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (-4 + 3 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 144*u + 271 - 101.\nAnswer: -144*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156964*v = -156462*v + 2510 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, 0.04, 106 in decreasing order.\nAnswer: 106, 0.04, -197","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/896 and (-9)\/((-63)\/119)*5\/(-20).\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 - 3545800*j**3 - 7*j + 5351544?\nAnswer: 8*j**3 - 10637400*j**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 9. Let q be g(3). Suppose -5*u + n = -149, -2*u + q*n = 3*u - 147. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - 9 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66 or 202\/3?\nAnswer: 202\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 7*o + 5. Let f be i(5). Suppose -r + 140 = -0*r. Calculate the greatest common divisor of r and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 2*l**3 + 58 + 8*l - 109 - 2*l**4 + 54 - 2*l**2 in the form p*l + x*l**3 + c*l**2 + m + y*l**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14 + 8 + 6 + s**2. Let q be (-1*6)\/(1\/1). Let o(m) = 4*m. Let h(d) = -7*d. Let k(f) = q*h(f) - 11*o(f). Determine n(k(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 233994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.28 from -6705250.60037.\nAnswer: -6705250.88037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*i = -43, 4*i = b + i + 4. Let t = 92 + b. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25182764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - 3 - (-5 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328 - -0.02155.\nAnswer: -327.97845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(2\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 - 11.95\nAnswer: -11.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -8) + (1 - -3) + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5)*10\/(-8). Let d(w) = 29*w**2 + w. Let t be d(1). Let m be 86\/t - 36\/12. What is the third biggest value in 0.1, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cll. What is prob of sequence llc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1902, 1900, 1888, 1860, 1810, 1732, 1620?\n\"Answer: -w**3 + w**2 + 2*w + 1900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 377\/875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = 0, 4*j = h - 28 + 157. What is the least common multiple of j and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 + f - 11. Let j(x) = 3*x**2 + x + 8. Let r(o) = 3*j(o) + 2*u(o). Let s = 4 + 1. Let c = s + -8. Give r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 69*j + 433. Give p(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 7)*(i**2 + 2*i - 2*i) - 3*i**2 + 4*i**2 - 3*i**2 + 6*i**2 - 10 + 10 + (-1 + 1 - 2*i)*(-2*i - 2*i + 5*i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.52 times 114.36?\nAnswer: 1660.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/9)\/(v\/(v\/(v\/(v\/v**3))))*v**(-2)*v*v**(-3)*v*v)**34)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 - 3*d**2 + 4*d - 1. Let v(l) = l**3 + l**2 - l + 1. Calculate n(p) + 3*v(p).\nAnswer: 10*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**3 + 2*c**3 - 4 + 7*c**3 - c**2 as f + z*c + p*c**2 + t*c**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -2*h**5\/5 - 3*h**4\/4 + 6*h. Find the third derivative of n(t) wrt t.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276641088?\nAnswer: 2, 3, 59, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144403)\/2105)\/(56\/(-40))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-10 + (-11 - -5))) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17598294?\nAnswer: 2, 3, 7, 19, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {k: 3, h: 9}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13996805*y**3 + 2*y**2 + 477*y - 7768 wrt y?\nAnswer: 83980830*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l + x + 6, 2*l = x + 9. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.126, 1, -9, 0, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 + 2*r - 2. Let z(o) = -16*o**3 - 41*o**2 + 1349*o + 436. Let l(q) = -7*w(q) + z(q). Suppose l(b) = 0. What is b?\nAnswer: -15, -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21546)\/5985)\/(7\/(-10)). Factor -z - 3\/7*u**2 - 24\/7*u.\nAnswer: -3*(u + 2)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1 + 0)\/1. Let s be u\/((-5)\/2)*5. Let x(h) = h**2 - 3*h + 6 + h**s - 3. Give x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 26, 75, 164, 305, 510, 791, 1160?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 37. Let g = r - -111. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1014097 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -6a91?\nAnswer: 6a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*m - m. Suppose -7*z = -z - m. Solve 10 = -z*k - 5*c, -3*k + 5 = c + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6 + ((-48)\/(-64))\/(89055\/(-29688) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 5*l**3 + 1900*l**2.\nAnswer: -5*l**2*(l - 20)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -6 + 178 - (-3 - -2). Calculate the greatest common factor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 18, -17, 0.\nAnswer: -17, -8, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28869, -28843, -28853, -28917, -29053?\nAnswer: -29279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 277762 and 27666053?\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 11. Let y be b(5). Let t(d) = -y - 2*d + 4*d**3 - 2*d**3 - d**3 + 6*d**2. What is the units digit of t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a4 (base 11) in base 5?\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 - v + 6*v**2 - 1 + 7*v**2 + 6*v. Let g(u) = -4*u**2 - 4*u + 1. Give -7*g(t) - 6*p(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 8. Let v be 8\/q + 0 + 1. Which is the closest to -1? (a) -5 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-6))\/(2\/(-1)))\/(173\/9688)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -82*v**4 + 1203020*v**3 + 4842496*v**2 + 3727444*v + 88050 = 0.\nAnswer: -3, -1, -1\/41, 14675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1437\/421?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11105633 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*p**2 - 6*p**2 + 3*p**2 + (-4 + 4 + 3*p)*(-22*p + 12*p - 14*p)).\nAnswer: 146*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2)*5\/2. Suppose 120 = i*r - 4*s + 2*s, -4*r + 84 = -4*s. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39279 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.41, -4, -5, 0.6, 4.674, -0.5 in increasing order.\nAnswer: -5, -4, -0.5, 0.6, 4.41, 4.674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 2. Let i(z) = 6*z - 3. What is -6*i(u) + 7*t(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/6 - 273*i**4 + 12434*i**3\/3 + 20121*i**2 + 31407*i\/2 = 0.\nAnswer: -1653, -3, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - 8*r + r**2 - r**3 + 6*r + 3*r as j*r**3 + a*r + i*r**2 + u*r**4 + o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 45. Let t(q) = 4*q**3 - 3*q**2 - 2*q - 5. Let c be t(3). Suppose k + 3*j - i - c = 0, 5*k + 2*j - 422 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57056 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 8*p - 3)*(-3*p - 7575 + 7575 + 11*p**2).\nAnswer: 77*p**3 - 54*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2226024 and 48.\nAnswer: 4452048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 37*h**2 + 40*h - 35. Determine o(38).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231468 + -161785. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -1782, -9 in descending order.\nAnswer: -9, -68, -1782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 684 - 683.9. Suppose -5*q + 2*n = 198, -6*q + q - n = 186. Let w be (-5)\/(-9) - q\/(-57). Which is the nearest to u? (a) -4 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 289121232.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (-44)\/6) + (-51)\/(-9). Let b(n) = -7*n**2 + 3 + 5*n**3 - 8 - 4*n**3. What is b(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -65. Suppose -r = -16*v + 10. Suppose 5*n - 107 + 7 = -5*j, 4*n - v*j = 92. Calculate the greatest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17)\/(-17))\/(-2))\/(6\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4302514 (base 6) to base 4.\nAnswer: -303122032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*l**2 + 15 + 13 - 28 - 205*l**2 - 137*l**2.\nAnswer: 103*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*1 + sqrt(224) - sqrt(14)) + sqrt(14) + -1*sqrt(1400))\/(sqrt(16)\/(sqrt(392)*1)))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -436 + 466. What is the remainder when 49 is divided by (i\/8)\/((-21)\/(-140))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/9, -9\/196, -0.052?\nAnswer: -9\/196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 268 - 3432?\nAnswer: -3186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 6. Let o be m(4). Let d be -1 - (2 - (6 + -2)). Let a(n) = 0*n + n + d + 0. Determine a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(128))**2 + sqrt(128) + 0 + 4 + sqrt(2) + (sqrt(32)\/sqrt(2))\/sqrt(8) + 2 + 4 + ((1 + sqrt(2))*2)**2.\nAnswer: 18*sqrt(2) + 534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(5*l**2 - 5*l**2 + 3*l**2 - 5*l**2 + l**2 + 3*l**2 + (3*l**2 + 0 + 0)*(0 + 2 - 3))*(9828*l - 2 - 9335*l + 2).\nAnswer: 493*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, 93, 479, 1207, 2391, 4145, 6583, 9819?\n\"Answer: 19*t**3 + 25*t - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.444 to one dp.\nAnswer: -189.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163721 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*((-6)\/8)\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2)*11024\/(-20670)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*z + 3 + 3, 6 = -2*z + 3*j. Suppose -7*i + 12*i - 75 = z. Let c = i + 5. What is the remainder when 57 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.71 * 0.04\nAnswer: -0.6684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*p - 0*u + 12, -p = -3*u - 14. Suppose -27 = -p*k - k. Differentiate -k - 25*h**3 - 7 + 13 with respect to h.\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 5*m**4 - 3*m**4 + (-m**2 + 0*m**2 + 1 - 578*m**3 + 579*m**3)*(0*m - 2*m + 12*m).\nAnswer: 14*m**4 - 10*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 16*s + 1258. Calculate w(16).\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921496783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 + 31. Let w(s) = 2*s**3 - 3*s**2 + 30. Give 3*u(c) - 2*w(c).\nAnswer: -c**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5168, -10362, -15570, -20798, -26052, -31338, -36662, -42030?\nAnswer: -47448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14\/367 (b) 4\/7 (c) -3\/20 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3907 (b) -1 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s - 2. What is the units digit of h(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 59435\nAnswer: -3\/59435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 4*f - 5. Let n be x(6). Suppose -q + 3*p = -4*q + 522, 2*q + p = n. Suppose -q = 4*m + 35. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2 - (-5 - -5)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0 = -40. Let l = 8 + c. Let p = l - -23. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcagnra. Give prob of picking 1 a, 1 n, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**2 - 3*h + 3. Let d(q) = 15*q**2 - 5*q + 5. Calculate 3*d(p) - 5*m(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/5730 and -23\/4011.\nAnswer: 40110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 78, -2, -3, 5, 76 in ascending order.\nAnswer: -3, -2, 3, 5, 76, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 3257709672*w**2 - 3257709672*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) - -1*sqrt(76)) + sqrt(76) + sqrt(76))\/sqrt(4)*-4.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581406699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10378420 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -21*f**2 - 35*f**2 + 69*f**2 + 13*f + 5. Let z(s) = -29*s**2 - 27*s - 10. Let q(p) = 9*a(p) + 4*z(p). Give q(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c + 12. Let w(v) = -v + 22. Let a be w(17). Let g be b(a). Find the second derivative of -7*h**5 - g - 2*h + 52 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277099 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 760 = 26*y - 52*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s*s\/((s**(-1\/15)\/s)\/s))*(s**(-2\/3))**(-14\/9) assuming s is positive.\nAnswer: s**(-1084\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*-36*(-40)\/630?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2*s - 4)*(-1 + 1 + 1) - 25*s + 14*s + 18*s)*(-3*s - 2*s - s) to m*s + i + q*s**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - 3*c**3 - c**3)*(855*c**2 + 1247*c**2 + 764*c**2).\nAnswer: 2866*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Let g(u) = -u - 1. Let y be g(1). Suppose 2*h + 5*l = 14, 0 = l + 3*l - 16. Let o = y - h. Give t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -790 (b) -26\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**7\/840 + i**6\/360 + i**5\/120 - i**4\/24 - i**3\/3 - 1. Let j(d) be the third derivative of w(d). Factor j(h).\nAnswer: -(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 32 = 4*d - 5*w, 3*d - 5*w + 22 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -7, 0, -0.03 in descending order.\nAnswer: 10, 0, -0.03, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*k**4 - 2*k**2*q**2 + 15*k*q + 11*q**2 wrt k?\nAnswer: -1404*k**2 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82319\/6 + 13720. Which is the biggest value? (a) -0.1 (b) -2\/245 (c) p (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025001399 - 1020334\nAnswer: -1020333.974998601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 2357594.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 5*x**2 - x - 1. Let w be k(-5). Suppose 3*g - 6 = -w*z, -z - 4*g = -2*g + 1. What is the first derivative of 3*r - 3 + z + 1 - 4*r wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126143, 126157, 126171, 126185?\n\"Answer: 14*v + 126129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -15. What is the tens digit of ((-100)\/f)\/((-8)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 767832.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 - 7856*o**2 - 2 + 7861*o**2 + 2. Let x(d) = -3*d**3 - 4*d**2. Let w be 9\/(18\/16) - 4. Suppose -w = v - 8. Calculate v*a(b) + 5*x(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 128\/19?\nAnswer: 128\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217251\/2 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17977814 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t**2 + 2 + 13*t**2 - 29*t**2)*(2 - t**2 + 0 - 4).\nAnswer: -3*t**4 - 8*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9.8, 0.06, -0.6, -1\/5, 1\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 10 = -3*k. Let q be 6\/k + (-85)\/(-15). Suppose -2*w + 2*p + 8400008 = -q*w, -2*p = w + 2800008. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/7)*z**(2\/3)*(z\/(z**(-1)*z))**(4\/17) assuming z is positive.\nAnswer: z**(577\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let s be r*(-2)\/3 - -9. Solve 2*v - 10 = 5*n + 2, 4*n = 3*v - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-65) - 1162\/(-52). Let p = f - 24. What is the smallest value in -1, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 140?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -8*f + 7\/2*f**2 + 0*f**4 + 3\/20*f**5 + 0*f**3 + 0. What is the first derivative of l(v) wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 + 17161*w**4 + 929842*w**3 - 3993880*w**2 = 0.\nAnswer: -58, 0, 4, 17215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10628 and 334.\nAnswer: 1774876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -2.2. Suppose z + 2*u - 11 = 0, 0 = -3*z + 4*u + 72 - 29. Let v be (z\/39)\/(3\/36). Which is the nearest to 1? (a) v (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*c + 10*c**3 - 293*c**3 - 283*c**3 - 180*c.\nAnswer: -566*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 6*c**2 + (1 - 1 - 1)*(-2*c**2 + 3*c**2 + 0*c**2) - 4*c**2 + 5*c**2 - 2*c**2)*(1 + 5*c - 1).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 112755*l + 2031210.\nAnswer: -5*(l - 18)*(l + 22569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -285, -254, -223, -192?\n\"Answer: 31*q - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2030 = -1028*n + 1098*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(128))\/(sqrt(63)\/(sqrt(72)\/sqrt(8))).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-110) - (-1937884)\/(-1068210)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15830, -15794, -15740, -15674, -15602?\nAnswer: -15530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/78 + u**3\/13 + 6*u. Factor v(j).\nAnswer: 2*j*(j + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-124)\/12)\/(2\/(-6)). Let l be f + (-1)\/(4\/(-12)). Suppose 0*k + l = 3*k - 4*c, c = 2. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (-193 + 90 - -46).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532581387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a - 1, 5*l - 3*a - 163 = 0. Calculate the least common multiple of l and (-11 - -5)\/((-9)\/6 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3454, 6900, 10356, 13828, 17322, 20844?\nAnswer: 24400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 - -630. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61899, -247790, -557661, -991500, -1549295?\n\"Answer: 2*q**3 - 62002*q**2 + 101*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25824?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(8\/11)\/p)*p\/(p**20\/p) assuming p is positive.\nAnswer: p**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 24. What is the tens digit of t(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -7 + -4 + 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*g = -2, 0 = 4*v - 3*g - 19. Suppose 0*r = -5*x - v*r + 37, 13 = 2*x + r. Suppose x*j - 26 = 9. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302 + -302. Solve s = h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152712 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.46993706582 and 0.4.\nAnswer: -5.06993706582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63149*w**2 + 3 - 6*w**3 + 3*w**3 + 4*w**4 + 63180*w**2 to the form t*w**2 + x*w**4 + u*w + f + v*w**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -255*j**5 + 5630*j**4 + 42655*j**3 - 8990*j**2 - 42400*j + 3360 = 0?\nAnswer: -6, -1, 4\/51, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4703276804.\nAnswer: 2, 59, 19929139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21*v\/((v\/v**(-3))\/v)*v*v*v**(-2\/19)\/(v**(6\/13)\/v*v))**40 assuming v is positive.\nAnswer: v**(201880\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -163853, -327665, -491477, -655289?\n\"Answer: -163812*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -664 (b) 2 (c) -1 (d) 0.5 (e) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054315371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 7*r**4\/6 + 9*r**2 + 8*r. What is the first derivative of n(s) wrt s?\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174313 and 372.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57600 and 433856?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.274822 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j. Let a(w) = -w - 3. Let p(o) = -15 - o - 2*o + 18 - 11. Let z(q) = 8*a(q) - 3*p(q). Give z(i(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249776819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -416, -1442, -3388, -6548?\nAnswer: -11216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 37 + 10 = -5*n, k = 5*n - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3, -0.06, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-16\/3)\/(j*j*(j*j**(-3\/2))\/j*j**(2\/15)*j) assuming j is positive.\nAnswer: j**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305894598 to the power of 1\/3, to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -65*y**3\/6 + 23*y**2 + 35*y - 1. What is the tens digit of h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 345*w**2 + 94*w - 2. Let x(z) = 688*z**2 + 188*z - 5. Let a(n) = -13*u(n) + 6*x(n). What is the second derivative of a(f) wrt f?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*8*5\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 - 1. Let r be v(-3). Let l = -33 + 33. Suppose 0 = r*s - 16 - l. Solve -s = 5*a - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 8. Let i(y) be the third derivative of y**4\/12 + 7*y**3\/6 - y**2. What is -5*a(f) - 6*i(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2. Let t(v) = v**2 + 3. Let b(y) = 3*y**2 + 8. Let l(c) = -c - 2. Let o be l(-5). Let h(a) = o*b(a) - 8*t(a). Give z(h(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*o + 5*p + 8, 0 = p - 3. Let i be (90\/(-6))\/(3\/(-5)). Suppose -c + i = 2*y - 4*y, -5*y = -o. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -6*f + 52*f. Which is the nearest to 2\/11? (a) -4 (b) -5 (c) f (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1557 by -519.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16387, -20256, -24125?\nAnswer: -27994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 6 in descending order.\nAnswer: 6, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 169 = 64 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -46, -70, -94, -118?\n\"Answer: -24*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6726 and 155357148.\nAnswer: 155357148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 - 6*j. Let l(n) = n**2 - n. Calculate 4*k(u) - 24*l(u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 72291, 4, -1, 3 in descending order.\nAnswer: 72291, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192138 or 192142?\nAnswer: 192138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4149682261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-26))\/(28\/(-91))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.973 - -174. Let j = -6.193 - i. Round j to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4836 + 3097 - 2636 - 2907)*(2*p**2 + 3*p**2 - 3*p**2) to m*p**2 + u + t*p and give m.\nAnswer: -14564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = -c, c + 3*p + 150 = -4*c. Let g = -5 - c. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 10*q - q + 9*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(10\/4)*-10. Suppose t*a - 210 = -3*g + 241, -3*g = -4*a - 491. Let z = g + -104. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 - m**3 - m. Let v(y) = -76*y**4 - 9*y**3 - 3*y + 166. Let s(x) = -4*b(x) + v(x). What is the derivative of s(n) wrt n?\nAnswer: -288*n**3 - 15*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -749253 + 738448 + 4554*h**2 - 3*h + 3*h wrt h?\nAnswer: 9108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(3328) - sqrt(3328) - sqrt(3328)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 0, -2*l + 0*l - 54 = -5*j. Does 10 divide -4 - (-1 - 1) - l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9552.15121 + 9551.6. Round s to 2 decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28))*3*6 - ((sqrt(28)\/sqrt(4) + 2)**2 - (sqrt(7) - -1*(sqrt(7) + 2))**2).\nAnswer: 39 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/6*(-27)\/18. Suppose 4*c = x*f + 2*c - 20, -c = 3*f - 50. What is the second derivative of -3*t + 11*t**2 - t - f*t**2 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15292097 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**6\/120 - v**5\/10 - 7*v**4\/24 + v**3\/3 + 5*v**2 - 12. Let p(t) be the second derivative of f(t). Does 3 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48392c (base 14) to base 10.\nAnswer: -2468660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 - 12*s**2 - 20*s - 117. Is c(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 50111302.945?\nAnswer: 50111302.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 + 28 = 0. Let g be ((-9)\/i)\/(1\/(-120)*3). Let y = g - -30. Solve 0 = -2*l - y + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126995?\nAnswer: 5, 11, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-1 + (-27430)\/14). What is s rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - 0. Let f = 0.75 - 0.05. Let t = f + r. What is the smallest value in 1\/2, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(-25)\/((o**(2\/5)\/o)\/(o**(-4)\/o)))\/((o\/(o\/o**(1\/2)))**(-22\/7)*o**(1\/4)*o**(2\/3)) assuming o is positive.\nAnswer: o**(1927\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {k: 3, e: 4, m: 4, p: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14059 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**2 - 29. Let j(p) = -10*p**2 - 30. Suppose 0 = -l + h, 5*h + 0*h - 30 = -l. Let r(z) = l*j(z) - 6*f(z). Differentiate r(m) wrt m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 8 = -5*i. Differentiate 3 + 28*k**2 + 3*k**3 - i*k**2 with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 115391*o - 7 + 115362*o + 0 + 1.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32101 (base 4) to base 6\nAnswer: -4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1517 and 0.4.\nAnswer: 1517.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -45*v**3 + 2*v**2 - 7*v + 6. Let q be p(1). Let a be ((-36)\/q + -1)\/((-4)\/44). Let 10\/7*b**2 - 18\/7*b - a*b**4 + 4\/7 + 18\/7*b**3 = 0. What is b?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 321\/(-651) - (-84)\/1302?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmymwd. What is prob of picking 1 d, 2 m, and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 29*t**2 + 33*t - 132. Calculate g(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*f + 19, f + 4*f - 17*c + 24*c = 21 + 12 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12*r + 59 = -205, 5*r - 127 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 25 = 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/40 + 883*i**5\/60 - 367*i**4\/3 + i**2 + 18. Find the second derivative of f(d) wrt d.\nAnswer: 18*d + 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124312 and 39852.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -72357903.91 - 112\nAnswer: -72358015.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**2. Let b(h) = 35*h**2. Give g(b(x)).\nAnswer: 17150*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 28. Suppose 2*a = -a. Suppose 5*d + 2*f + a*f - 122 = 0, -3*d = 3*f - 75. Calculate the remainder when d is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 340 - 260 = 0. Calculate the greatest common factor of o and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-15)\/10)*26. Suppose -2*i = u - f, 2*i + 5*u - 45 = -3*i. Let c(z) = z - 3. Let s be c(5). Solve -s + i = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 + 498*y\/5.\nAnswer: -3*y*(y - 166)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 2. Suppose -2*z = -20*z - 5*z. Put r, -3, z in decreasing order.\nAnswer: r, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 4*a**4 + 3*a**4)*(-21 - 62 + 24).\nAnswer: 177*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - q + 1036, 3*q + 10 = 3*u - 3080. List the prime factors of u.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 12 + (27 - (6 + -16) - 8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let z = 17 + -19. Let w(r) = 6*r - 11. Let j(y) = y - 2. Let m(g) = z*w(g) + 11*j(g). Determine m(q(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -365*f**4\/4 + 5*f**3\/2.\nAnswer: -5*f**3*(73*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -47. Let c be (-4)\/10 + (-3132)\/(-30). What is the highest common divisor of s and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m + 12. Let p be l(-3). Let y = p - -48. Suppose y*v + v = -5*r - 1, 4*r + 5 = -5*v. Solve -3*b + 2*f + 1 = r, 3*f = -5*b + 5*f + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6048849.\nAnswer: 3, 29, 251, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -510531*v**3 + 759*v**2 - 3795*v. Let u(d) = -2687*d**3 + 4*d**2 - 20*d. What is 4*o(f) - 759*u(f)?\nAnswer: -2691*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573 - -1033. Let g = f - 458. Factor -1\/9*l**g - 4\/9 + 5\/9*l.\nAnswer: -(l - 4)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 3. Let n be s(-5). Let w be -1*((-1)\/1 - n). Let t be w*((-1 - 1) + 3). Sort 0, t, 4 in descending order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 2 a when four letters picked without replacement from {h: 5, k: 1, w: 2, b: 1, a: 9}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*s - 6411 = -3*a, a + 2*s = 2135. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -0.9, 8.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 + 2*c + 17. What is f(-5)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 3 (c) 4\/3 (d) 584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*c**3 - 47*c**5 + 44*c**3 + (c**4 + 2*c**4 - 4*c**4)*(5 + c - 5).\nAnswer: -48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (449 + 231 - 71)*(-2*d + 3*d + 0*d + (3*d + 3*d - 4*d)*(-1 + 0 + 3) + 0 + 0 + d + 2*d + 4 - 4) in the form h + j*d and give j.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -5798871*-2\nAnswer: 11597742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/n**1)\/n*n)\/n*n)*n)**(-1\/8)\/(n**2*n**(3\/2)) assuming n is positive.\nAnswer: n**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -179 - (21 + 49 + -217).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 288*w**3 - 16*w**2 - 16*w + 32. Let b(j) = 95*j**3 - 5*j**2 - 5*j + 10. Calculate -10*b(i) + 3*q(i).\nAnswer: -86*i**3 + 2*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 7:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/2 + 12*x**3 - 51*x**2\/2 - 3*x + 36 = 0?\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4))\/10*2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/5 - (4 + 76\/(-20)). Solve f*u = -2*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -6.2. Let w = p + 0.2. Let y = -15 - w. What is the third smallest value in 2, 2\/5, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-273)\/93 - ((-18)\/2790*11170 - -5).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15*x = -72. What is the remainder when 23 - 0*(-2)\/4 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/29765936?\nAnswer: -1\/29765936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cllc when four letters picked without replacement from llcslsccsllclsc?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034293 to 6 dps.\nAnswer: 0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59525 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbcccp. What is prob of picking 1 p, 1 y, 1 b, and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 20565116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7)*h)\/(h**43\/h))\/(h**(-1\/13)*h**(-13\/6)) assuming h is positive.\nAnswer: h**(-20459\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 104, 217, 400, 647, 952?\n\"Answer: -k**3 + 41*k**2 - 3*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 31*s - 45 + 36*s - 65*s. Let t(j) = 2*j**2. What is a(t(c))?\nAnswer: 4*c**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180323734 - -161.1.\nAnswer: -180323572.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 471200798 by 3.\nAnswer: 471200798\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22465 (base 8) to base 9\nAnswer: -14053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -70, 2, 1.3, -1\/14, -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 13*m + 10. Let i(d) = -14*d**2 - 64*d - 50. Let b(c) = 2*i(c) + 11*z(c). Solve b(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57b591 (base 12) in base 10?\nAnswer: -1409149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 69 + 70 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 662084 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 j, and 1 x when four letters picked without replacement from jjjjyjjjxjjxjeex.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 3:09 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24711518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 22 + 6. Let p be 2 + 3\/3 + -1. Suppose -p*h = -3*h - 3*v + 3, 2*h - 5 = -5*v. Which is the nearest to -2\/7? (a) -0.2 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 + u + 1. Let g be p(-1). Let w = g + -7. Suppose m - w*m = -4. Solve 5*d - 5*l - m = -3*l, -3*l + 3 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 9 = c + 4*t, 0 = 2*t - 6. Let l = c - -6. Solve -2*s + 25 = l*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - 4*w. Solve w*t - 15 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 392*w + 29 - w**3 - 19 - 388*w. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 60\/11, 4, 5\/4 in increasing order.\nAnswer: -2.3, 5\/4, 4, 60\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16589864.\nAnswer: 2, 257, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 13*p - 18*p - 714, 2*d - 4*p = 714. Calculate the highest common divisor of 105 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -223, -242, -261, -280, -299?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**(-6)*q*q)\/q)*q*q*q\/(q*q**11\/q*q)*q)**(-18\/11)\/(q**4*q*q\/(q\/(q*q**(-1)*q))*q)**(5\/2) assuming q is positive.\nAnswer: q**(-277\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k - 21. Is m(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-2*1 + (-1*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d - 2*d + 4*d)*(-2 + 1 + 2 + (-2 - 1 + 5)*(0 + 3 - 5) + 3 + 1 - 5 - 5 - 2 + 5 - 7 + 0 + 1 + 5 + 0 - 3) to the form o + p*d and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1173*i**2\/7 + 26862*i\/7 - 2691\/7.\nAnswer: 3*(i + 23)*(391*i - 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -113.93.\nAnswer: -45.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i + 18 = -91*i - 3*h, -h - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 817 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -84179930 to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10*-2)\/((-124)\/(-620)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.4. Let b = -13.4 - v. Let f = b + 14.0000015. Round f to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.260730865 and -0.4.\nAnswer: -0.104292346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -11 - 30. Let m = j + 58. Let z = 2 + m. Calculate the greatest common divisor of 152 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1195*q**6 - 309*q**2 - 2*q.\nAnswer: -143400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 3, -10, 25, 5 in descending order.\nAnswer: 25, 8, 5, 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001111111000 + 1001000011?\nAnswer: -101000000110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)\/b)\/(b\/((b*b\/b**(-19))\/b)) assuming b is positive.\nAnswer: b**(236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from oggooogogooogoooooo.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21518 - 14628 = 1860*l - 694*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + -0.04. Let g = 0.43001 - 1.43001. Which is the nearest to h? (a) -1\/8 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9 - 13 = 3*b, -3*h - 32 = -5*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -435, -2.\nAnswer: -435, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1021*s**3 - 15*s**2 + 28*s - 13. Calculate d(1).\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 4. Is 745 - (2 - t - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -27, -45, -63, -81?\n\"Answer: -18*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16128227 is divided by 6834.\nAnswer: 6821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -853 + 809. Let o = -21 - -18. What is the third smallest value in 1\/10, o, w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134722.183 - -134556. Let l = w + 166. Round l to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 21 = -5*i, -18 = -2*i + 2*a - 6. Suppose 0*x + 200 = i*x. Suppose -3*j + 45 = 3*y, -5*j + y = -j - x. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -22315?\nAnswer: 22311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 15*h + 2*h + (-3*h + 5*h - h)*(1 + 2 - 2 + (0 + 1 - 3)*(2 + 0 - 3) - 11 + 52 + 1).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 1048, 1923, 3214, 5059?\nAnswer: 7596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8) - 267\/(-204))\/((-12)\/(-136))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35704.93 millimeters in centimeters?\nAnswer: 3570.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8191132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 x when three letters picked without replacement from mxoqxooqxxqx?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 5*z**2 + 4*z + 2. Let b be n(-4). Solve b*q = 6*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 4)*(l**2 + 5*l**2 - 4*l**2) - 3 + 3 - 3*l**2 + 2 - 2 + 2*l**2 - 5*l**2 + 4*l**2 - 87*l**2)*(l + 3*l - l).\nAnswer: -279*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/438 or 0?\nAnswer: 1\/438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y - 129*y - h = -14, y + 37 = -7*h for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -3. Let w(b) = b**2 + 9*b + 8. Let a be w(k). Suppose a*o - 4*o = -72. Calculate the lowest common multiple of o and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*(-9)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.2 - -3.5. Let g = 0.1086 + 1.2314. Let t = q + g. Round t to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -37*d**2 - 5*d + 23. Suppose -17*k = -16*k - 5. Let q(j) = -56*j**2 - 7*j + 35. Let l(t) = k*q(t) - 7*a(t). Find the first derivative of l(v) wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9746891, 9746886, 9746879, 9746870, 9746859, 9746846, 9746831?\nAnswer: 9746814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 - 2*d + 5. Let j be 4 + (-2 - -1)*1. Let k(y) = 0*y + 9*y**2 - y - 8*y**2 - 1. Let a be k(j). Give o(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -14, -11, 6, 43, 106, 201?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 732+3\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {e: 4, a: 3, b: 4, l: 1, j: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 52*j**2 + 4*j + 10*j**2 - j.\nAnswer: -42*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13159, -0.4, 9\/38 in decreasing order.\nAnswer: 9\/38, -0.4, -13159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30909 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j - 54 + 54 to the form t + i*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21010111 (base 3) to base 14.\nAnswer: -1c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -105. Suppose -8*o - m*r = -6*o - 40, -4*r - 20 = -o. What is the common denominator of -7\/32 and ((-610)\/o)\/((-9)\/2)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793498 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 2*k**2 + 0*k**5 + 1\/120*k**6 + 0*k - 1\/12*k**4 + 0 + 1\/6*k**3. Suppose 0 = 4*y + 2*m + 12, 36*m - 41*m = 40. Determine x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-50139)\/(-155988))\/(1\/7*-3))\/(3\/(-136))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(21)\/(sqrt(7)*-1 - sqrt(7))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 1637*g - 244169. Determine q(-166).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4\/81 (b) 2 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 79530418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-7 + 28) - -22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22790504\/(-208) + (-4)\/26. Let j = 109557 + a. Let w = j - -5\/13. Find the common denominator of -21\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 77*n. Let l(f) be the third derivative of f**4\/6 - 106*f**2 + 2. What is -56*l(v) + 3*x(v)?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2658 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.948 + -0.645. Let z = i - 0.086. Let g = 0.27 - z. What is g rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 17. Let i = g - -9.6. Sort i, -6, -4\/3 in ascending order.\nAnswer: -6, -4\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 1. Let l be q(5). Find the common denominator of l*(2 + 51\/(-18)) and 52\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 167*j + 59. Let b be h(45). What is b rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*h - 13, -i - 1 = -2*h. Suppose -8*k = -31 - i. Suppose 3*z + n = 34, -11*z + 6*z = -2*n - 42. Calculate the highest common factor of z and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20651000 to the nearest one hundred thousand.\nAnswer: -20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*t + 2700 = -t, -5*t = 3*v - 8084. Suppose 3*s - 4024 = -2*f, 2*s + 6*f = 2*f + v. Suppose 4*w - s = -0*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((198\/(-55))\/6)\/(9\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/36*540\/18240*-19?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5442 divide 795289003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 17}. What is prob of sequence pp?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1459194 and 198.\nAnswer: 4377582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6427, -12149, -17871, -23593, -29315, -35037?\nAnswer: -40759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64307767 - 3?\nAnswer: -64307772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/420 and -46\/165?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 smaller than 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1.108.\nAnswer: 5.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(224)*1)\/((3*sqrt(648) - sqrt(648) - sqrt(648)) + sqrt(648)) + -2.\nAnswer: -2 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n - 3. Let c be p(4). Let j(r) be the third derivative of r**5\/15 - r**4\/2 + 13*r**3\/6 + 166*r**2 - r. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-221)*1287\/(-891).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 u when four letters picked without replacement from {u: 3, i: 2, p: 3, v: 7}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a factor of 1575958387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 - -299. Calculate the highest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32833362 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -18*j**2 - 17*j**4 + 21*j**4 - j**4. Let f(v) = -v. Let t(u) = -252*f(u) - 4*w(u). Let a(n) = 2*n**2. Calculate a(t(y)).\nAnswer: 2592*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**3*w**2 + 29*a**3*w + 3*a**3 + 9711*a**2*w**2 wrt a.\nAnswer: -60*w**2 + 174*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 626897.198 to the nearest one hundred.\nAnswer: 626900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100148*z - 181516*z - 8618*z + 33229*z.\nAnswer: -257053*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*w - 115*w - 109*w to b + f*w and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - f = 7*f + 1430. Which is greater: -52 or f?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212113100 (base 5) in base 11?\nAnswer: -561292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:05 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = 4*d - 10, -3*v + 5*d + 5 = 0. Put 14, v, -1 in decreasing order.\nAnswer: 14, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*g - 11. Let h(p) = 4*p - 2. Let b(d) be the second derivative of -d**3\/3 + d**2\/2 - 18*d. Determine g*b(n) - 2*h(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*c*l**3 + c*l**2 + 440*c*l + 2*c + 2*l**2 wrt l.\nAnswer: 816*c*l + 2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 + (8 + -15 - -10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00557 to four decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595486 is divided by 19179?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from cicphkhkddhhkhd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*b + 15 = 0, -2*u - 3*b - 16 - 17 = 0. Put 1, 17, 2, u, 0 in increasing order.\nAnswer: u, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 - 6*x - 2. Let y be f(8). Which is the second smallest value? (a) y (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3 + 3)*(0 + 0 - 2)*(-4 - 2 + 4).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a**3*h**2 - 672926*a**3*k + 4*a**2*h**2 - 7*a*h**2*k - 25436 wrt k.\nAnswer: -672926*a**3 - 7*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let o(b) = 9*b**2 - 32*b**2 + 4*b**2 - 4 - 2*b + 8*b**2. Let l(n) = -660*n**2 - 121*n - 242. Let j(f) = 2*l(f) - 121*o(f). Determine t(j(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5751 divided by -258.\nAnswer: -1917\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, -4, 1, -0.23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, b: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, e: 1, n: 4, p: 2, c: 2}. What is prob of sequence pcee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2579*y**2 - 6781*y**2 - 4 + 4.\nAnswer: -9360*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 169, 110, -285, -1196, -2803?\n\"Answer: -30*f**3 + 102*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -22499 in decreasing order.\nAnswer: 5, 4, -22499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j + 64*j - 24*j + 3*x + 27 = 0, -3*j - x - 2*x = 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:30 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379528 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 54. Suppose 4*t - d*v - 35 = 0, -34 - 16 = -5*t + 5*v. Suppose 0 = 12*z - t*z + 255. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -1, -3 in decreasing order.\nAnswer: 66, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**3 + n**2 + 6*n - 2. Let j(y) = y. Calculate i(t) - 6*j(t).\nAnswer: -12*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c**2 + 252. Let t be y(0). Suppose -3*s + t = -5*l - 223, -s - 5*l + 185 = 0. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-27))\/((-23)\/(-138))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o - 2*o + (-73 + 22 - 21 + (-2 - 2 + 3)*(3 + 2 - 6))*(-o + 0*o + 0*o) + (-3*o - o + 0*o)*(2 - 3 + 0).\nAnswer: 73*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 36. Suppose -5*s - 5*o + 96 = 11, 54 = 4*s - m*o. Solve 0 = -5*b + 2*r - s, 2*r - r = 3*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (12\/(-3))\/4. Suppose 2*n - 46 + 0 = f*x, 5*n - 94 = 2*x. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0, 0.1, 1\/7, -0.5, 2\/59, -55722?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-1)*b)**(-1\/55)\/(b**(-4))**(-8) assuming b is positive.\nAnswer: b**(-1764\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) -1.2 (b) -2\/5 (c) 0.5 (d) -10267 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 445969346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + 92948?\nAnswer: 92922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21039 is divided by 130.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8bc21 (base 13) to base 14\nAnswer: 68b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.820342 milligrams?\nAnswer: 0.000008820342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1426 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 1. Let w(g) = 2*g + 411. Determine k(w(o)).\nAnswer: -6*o - 1234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 5. Let i be g(-6). Suppose i*f = -p - 11, -3*p - 2*f + 6 = -0*f. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2. Let j = 52 + -31. Let f = 19 - j. Let q(u) = u - 4*u + 7 - 4*u**3 + 4*u + 0*u. Calculate f*q(c) - 7*r(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*r**4 + 273*r**4 - 7*r**2 - 2*r**3 + 5*r - 6*r - r in the form v*r**3 + s*r + n*r**4 + t*r**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m = 82*m - 448 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*x + 12 = 0, 101 = 4*z - 5*x + 81 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 11*g**2 + 9*g - 7. Let z be t(-10). Suppose 8*x - 9*x = -z. What is the first derivative of 120 - l**3 + l**x - 136 - 19*l**4 wrt l?\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94228 - -176248. Suppose 5*s = 4*o - 102516, 4*s - 8*s - f = -5*o. Round s to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:54 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 6*x - 1. Let t be m(5). Suppose h = -t*h, -2*g + 62 = -h. Suppose -11 = -2*p + g. What is the highest common divisor of 21 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.9. Which is smaller: -0.45 or r?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 87. Let h be r(27). Suppose -h*m + 9*m - 69 = -x, -2*m + 69 = x. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289 + -285. Solve 0 = -3*z + 4*d - 5, 4*z + f*d = 3*d - 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 3)*(2 - 4 + 4) + 1884 - 763 - 816)*(-2*l**2 + 0*l**2 - l**2).\nAnswer: -909*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -42. Suppose -3*w + k = -6. Suppose 5*j - 20 = 3*a - 4*a, 4*a = 0. Solve -4*m + w*y + 16 = 4, -16 = -j*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -23*s**5\/10 - 95*s**4\/6 - 27*s**3 - 9*s**2 + 1275*s. Factor n(h).\nAnswer: -2*(h + 1)*(h + 3)*(23*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215267639.\nAnswer: 4957, 43427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m + 6*m - 372 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -5 + (sqrt(30)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -146*a + 3495. What is b(24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:11 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in 0.4, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + (-41 - -30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 54?\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z**17)**(-3\/37))**43 assuming z is positive.\nAnswer: z**(2107\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 6999*u**2 - 986568*u + 35895180.\nAnswer: -3*(u - 2185)*(u - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 0. Let u(c) = -1 - 19*c**3 + 0 - c**2 - 24*c**3 + 48*c**3. Let y(h) = -11*h**3 + 3*h**2 + 2. What is b*y(z) - 7*u(z)?\nAnswer: -2*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 32*j**2 - 237*j - 339. Give r(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 26. What is the highest common factor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802530491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107872962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 71*u + 8. What is the lowest common multiple of z(-14) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897637.\nAnswer: 13, 29, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834536 is divided by 2834528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -2. Let k = 7.5 - w. Let h = 0.03123 + -1.03123. Which is the biggest value? (a) -0.2 (b) h (c) k (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34671?\nAnswer: 3, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1808?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -387, -389, -391, -393, -395?\n\"Answer: -2*z - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*7 - (-54 + -131). Which is smaller: z or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -128. Calculate the highest common factor of 52 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 717*r + 3595. Give t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3516 = -7*d + 3*d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:35 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227237 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 - 44) - 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2\/54 + 7558720\/49059. Calculate the greatest common factor of b and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 - 2*j - 8. Let w be v(-6). Suppose 0*o - w*o + 4 = 0. Let z be (-12)\/(-3)*o\/2. Solve -z*q + 6*q + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-80))\/((-10682)\/(-3052)*3\/(-14)*-19)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 less than -14311153?\nAnswer: -14311158.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505784 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -58, -59?\n\"Answer: -i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4040 + -32202244?\nAnswer: -32211334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1289322 + 1289322.1499986. Let p = a + -0.15. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10.2. Let f = h + 0. Let q = f - -0.9. Which is smaller: -2\/11 or q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o - 59. Let j be p(-34). What is the highest common divisor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/391123?\nAnswer: 12\/391123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -414, -931, -1654, -2583, -3718?\n\"Answer: -103*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 221 = 439*s - 1077 - 9, -5*s + 8*d - 3*d = d - 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5707859666 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c55 + -1b613?\nAnswer: -1968b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 j when four letters picked without replacement from {l: 11, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57 + 74*s**4 + 88 + 26 wrt s.\nAnswer: 296*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/4449 - -42019\/2966. Suppose 5*t + 13 = 118. Find the common denominator of k and (-14)\/(-1 - (-129)\/t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + sqrt(7) + sqrt(28)\/sqrt(4)*1 + sqrt(7))*-2.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 19*w**2 - 11*w + 828. Let v be x(-15). Solve -5*l - 40 = 5*k, -2*l + 2 = -97*k + v*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*j, 4*j = -3*u - 116. Let k be (-1 - 149)*6\/9. Let g = u - k. 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: Let i = -1.26 + 1. Let v = i + 0.16. Is v < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {y: 1, z: 1, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 21 = -11*m. Suppose -m*d = 126 - 329. Let b = 72 - d. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*f**3 + f**2 - 218*f**3 - 157*f + 157*f - 6*f**2.\nAnswer: -416*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**1*f*f)\/f)\/f)**(2\/17))**(-25) assuming f is positive.\nAnswer: f**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 34. Let l = 4 + 5. What is the remainder when h is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-4*3 + (sqrt(171)*4 + sqrt(171))*-4 + (0 + 6*(-1 + sqrt(171)))*1)**2.\nAnswer: 936*sqrt(19) + 115632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3125 + 3015 = 22*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dycxuyccxcy. Give prob of sequence yd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + 3 + (sqrt(363) + -2*sqrt(363))*3))**2.\nAnswer: -528*sqrt(3) + 3331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 9. Let b be y(6). What is the greatest common factor of b and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72141 to two decimal places.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 0 + 0. Suppose 0 = 2*m + 5*j - 10, -5*m - 4*j + 8 = -0. Let p(d) = d + 1 - 1 + m*d. Determine p(x(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1072884 and 13\/87?\nAnswer: 1072884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 1. Let r(x) = -x**3 - 3*x**2 + 4*x - 1. Let v be r(-4). Let j be o(v). Suppose l = u + 2, -3*l + 3 = j*u - 27. Solve 2*h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 50554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-165))\/((-5)\/((-375)\/6)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h + 4*h**2 + 5\/18*h**6 + 0*h**3 - 1\/126*h**7 - 25\/9*h**5 + 0 + 0*h**4. Let k(d) = 0. Calculate d.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19090318 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 9*v + 4. Let s be i(-5). Let b(z) = -46*z**3 - 2*z**2 - 4*z - 2. What is the units digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 35178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from nnnnnngngnnnngn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 95054, 2\/7, -2, 5?\nAnswer: 95054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218828 or 218826?\nAnswer: 218828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 18, -66 in ascending order.\nAnswer: -66, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s + 0 + 0*s**3 - 1\/6*s**4 + 0*s**2.\nAnswer: -s**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 6984?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 7 - 15 + 10 as h + q*j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*y**4 + 8736*y**3 + 123264*y**2 - 2322432*y - 23887872.\nAnswer: -2*(y - 24)**2*(13*y + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-15)*(-25)\/50*30\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/3 - 1725*x**2 + 2225669*x + 46992967\/3 = 0. Calculate x.\nAnswer: -7, 2591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let b(d) = 8*d**2. Let u(v) = -v**3 + 17*v**2 + 2*v - 30. Let p be u(17). Let q(z) = p*o(z) + b(z). Let j(i) = -7*i**2. Calculate q(j(s)).\nAnswer: 196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - 2*d + 6*d)*(-29 + 29 - 5*d) - 4*d**2 + 173 - 96*d - 84 - 89.\nAnswer: -64*d**2 - 96*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45573 - -45587. Suppose -3*l + 5*m = -100, -50 = 5*l + 3*m - 228. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1378656*a**2 + 1409*a + 54?\nAnswer: 2757312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -106*l**2 + 912*l - 1885. What is b(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + 2. Let u be (-165)\/11*3\/(-5). Let x be (-3)\/u*5\/(-15). Sort c, x, 0.06 in decreasing order.\nAnswer: c, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*g - 19, -6 = -5*g - 2*x + 19. Calculate the remainder when (g\/(-5))\/(138\/(-47380)) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1)*13\/(-3). Suppose y + 0*y = s. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.081499 milliseconds to hours.\nAnswer: 0.0000214115275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14868652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43858 - -102125. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (44\/(-14))\/(7\/(-49))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**8\/280 - t**6\/360 + t**3\/3 - 6*t. Let m(y) be the second derivative of a(y). What is the third derivative of m(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12771, -12767, -12763, -12759?\n\"Answer: 4*w - 12775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microgram in nanograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612)*2 + 2*(sqrt(612) + 2))**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 212 = -3*i + 5*i, 4*s - 208 = i. Suppose -11*n = -8*n - s. Solve -5*c + n = 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -10 - 5 - (-4 - -6 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4, -2*w + 3*w - 30 = 5*c. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:11 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-288)\/(-27) - (-32)\/(-12). Solve -2*i = -8*b + 12*b - n, 2*b - i = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**5 + 12*q**4 - 24*q**3 - 54*q**2 - 33*q - 6 = 0 for q.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:34 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 187, 443, 913, 1669, 2783, 4327, 6373?\nAnswer: 8993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 357*t**2 + 1109*t + 17281. Calculate y(-354).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -85. Let a be (-75)\/10*(48\/z + -6). Let d(x) be the second derivative of -x**5\/20 + x**4\/2 - 2*x**3\/3 + 3*x**2\/2 - x. Determine d(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.106839m to kilometers.\nAnswer: 0.007106839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1845 and -97\/137145.\nAnswer: 411435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-10))\/(1\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = d + c, -5*d + 4*c = -51. Let t = 14 - d. Suppose -5*g + 3899999 = -p, -4*g - 2339997 = -t*g + 3*p. Round g to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7934 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2)*(r*r*r*r\/r**7)\/r)\/((r**(2\/9)*r)\/((r**4\/r)\/r)))**(-5) assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 90666?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 30 = -8*n. Let g(u) = -8*u - 21. Let o be g(n). Solve o*v = -2*m, -4*v + 1 - 6 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191528 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:16 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.072095368 rounded to 2 dps?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**2 + 403. Let s(i) = 181*i**2 - 2. What is s(d(l))?\nAnswer: 724*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 233*v**2 - 1.\nAnswer: -233*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u - 781 + 191 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1846717309 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Suppose 2*x + x - 8 = -u*q, -3*x + 15 = -3*q. Let z(y) = -11*y**3 - y. Determine z(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - 3. Let f = v + 156. Suppose 5*r - f = -7. Solve -r*n - 1 = -k, -4*k = -3*n + 3 + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/407 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h + 13. Let i(b) = -12 - 19825*b**3 + 4*b + 16 - 7*b. Let w be i(h). What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 3*p**2 + 0*p**3 + 0*p + 0 - 1\/8*p**4. Let k(b) = -2*b**2. What is u(k(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528577512 to the nearest integer?\nAnswer: 22991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -33550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382 + 85. Let v be (-523)\/6 - (-13 + j\/(-22)). Is -88 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:44 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 < 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14755 + 266941\/18. Let g = -55900 - -503750\/9. Let l = q - g. Calculate the common denominator of 113\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 345.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037877187 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41202441 (base 5) to base 3.\nAnswer: -122000012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/7)\/6*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 6616b?\nAnswer: 66167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 54. Let t be x(-20). What is the units digit of 38 + 1\/7 + (-26)\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q - 16534 - 8535 = 300*q - 4489 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvzgq. What is prob of picking 1 q, 1 z, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 - b**2 - 15*b + 15. Let u be s(1). Suppose 3*t + 5*k + 2 = 10, t - 8 = -u*k. What is the second biggest value in t, 3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400926.95 rounded to the nearest one thousand?\nAnswer: -401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 1029*i + 7*i**2 - 2044*i + 1020*i to the form s*i**3 + x + a*i + v*i**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49593\/3294 + (-3)\/54\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 4*t. Let k(q) be the second derivative of -35*q**4\/6 + 55*q**3\/6 + 34*q. Determine -4*k(z) + 55*x(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:08 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 27. Suppose 0 = 2*y - 4*q + 10, -4*y + 17 = 4*q - 11. Suppose -a = -d + 49, y*d + a - 40 - 119 = 0. What is the lowest common multiple of u and d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 15}. What is prob of picking 1 h and 3 j?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655*o**3*y**6 + 3897*o**3*y**4 + 4*o**3 - 32*o**2*y**2 + 2453*o*y**2 + y**2 wrt y?\nAnswer: 78600*o**3*y**3 + 93528*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -262100 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0. Let z = -1.729 - 0.203. Let m = z + -0.068. What is the closest to -2 in m, y, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 15. Let x = c - -5.97. Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {t: 3, c: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29a32 (base 15) to base 9\nAnswer: 223632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235468871 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 2 (b) 8 (c) 2\/3 (d) 6 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/515 and 19\/176786522.\nAnswer: 883932610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56366\/63 >= 896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9417689149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*p + 25 = 0, p + 3 = 5*n - 4. What is the smallest common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*3*8\/(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 1, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n**8)**(-48) assuming n is positive.\nAnswer: n**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217\/11580 + -2\/965. Let k(a) be the third derivative of 0 - 5\/3*a**3 + 0*a + 1\/24*a**4 - 3*a**2 + z*a**5. Calculate k(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-228)\/(-912) - ((-5063)\/4 + 1). Let k = q - 1260. Let h(i) = i**2 + 3*i + 2. Let d be h(-2). Solve -k*v + 6 - 21 = d, -5*v = -3*r + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695169.\nAnswer: 7, 23, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232930*d**3*w**3 + d**3*w + 5*d**3 + d**2*w**3 + 114790*d**2*w**2 - 7*d**2*w wrt d.\nAnswer: 1397580*w**3 + 6*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - 306. Which is smaller: j or -413?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6522 and 243311906?\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -962 + 1921 - 958. Let z(y) = 8*y**3 - 2. Let u(q) = 2*q**3 + q**2 - 2*q - 2. Let v be u(-1). Calculate v*z(k) - 2*l(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 0, -105*c - 17 = -2*k - 104*c. Calculate the remainder when 9030 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70939012 to the nearest integer?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 15*y - 78. Let v be j(-20). What is the highest common divisor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -29. What is the nearest to 1 in -5, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 36*y - 337. What is g(43)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 35. Let a be (-2)\/8 + 198\/x. Solve 0 = 2*r - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - 225463853*a + 645213117 wrt a.\nAnswer: -6*a**2 - 225463853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 - 9*d + 6*d**5 - d**5 wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3430\/23 + 59043\/368. Is 12 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*w = -7 - 3, 134*w + 4 = 132*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - 4*a**4 - 3*a**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0.5. Let h be (2 - -1) + (2 - -5). Let z be 14\/(-10) - (9 - h). Which is the smallest value? (a) 2\/13 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + 12 = 3*c, 4*g - 5*c = -20. Suppose -2*j + 0*j + 26 = 5*q, -5*j = -q - 11. Suppose -23 = -4*h - 5*v, -j*v = -2*h - 0*h - 5. Is g < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -4, -0.1, 0.4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {s: 1, e: 5, h: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23228009 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 38*m + 83. Calculate i(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133449 or -133444?\nAnswer: -133449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 12*f - 20 + 1\/4*f**4 + 14*f**2 + 4*f**3. Let z be i(-9). Solve 4*m - 4*h + z*h = 6, -5*m + 9 = -2*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 + 30*m - 257 + 115 - 29*m.\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -53. Suppose w*u - 8 = -14. Let a be ((-7)\/(63\/6))\/(1\/u). Solve 2*m - 10 + a = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 668*a - 3864 = 0. What is a?\nAnswer: 6, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-41)*(x**(-1)*x)**(-6) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2028, -1899, -1684, -1383, -996, -523, 36?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166.7046s to milliseconds.\nAnswer: 166704.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 8. Suppose -2*k + 26 = -x*g, -6*k - 2*g + 2 = -2*k. Suppose 0 = -2*z - n + 9, -k*z - z + 3 = -3*n. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 4*o + 5. Let f be p(5). Let a(x) = 1159326*x + 27 - 1159331*x + 24. Let s be a(f). Let y(q) = -9*q**2. What is y(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93899 is divided by 93846.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*((1 - 1 + p)*(2*p - 2*p + 2*p) + 3*p**2 + 0*p**2 - p**2 - 2*p**2 + 2*p**2 - p**2).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7947 + -529\nAnswer: 7418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 + 5*h + 10. Let p be u(-7). What is the highest common factor of 168 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1351a47 (base 11) to base 6.\nAnswer: 121541223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j**2. Let p(t) = t**2 - 7*t + 9. Let i be p(6). Suppose -10 = o + 4*q + 8, -3*o + i*q = -21. Let a(h) = 27*h - 27*h - 2*h**o. What is w(a(k))?\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*x + 12, 3*x - 2*x - 12 = -4*g. Suppose -28 = -5*l + 5*u + 7, -70 = -5*l - 2*u. Calculate the highest common factor of x and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(4)\/(sqrt(2)*1 + sqrt(2))*-4*-4.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:58 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (3 - 11) - (3 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -1?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:45 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 3. Let y be r(0). Let b = -2787 + 2915. Calculate the smallest common multiple of b and (-14)\/(-42) + 65\/y.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 39, 30, 13, -12, -45, -86?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5843*p**3 - 11680*p**3 - 5758*p**2 + 5835*p**3 to o*p**3 + f + l*p + h*p**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2811773368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 10:53 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/4110 and -81\/1096?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**3 - 1 + 5*d**4 - 5*d**3 - 5*d**3 + 10*d**4 - 13*d**4 to o*d + l*d**3 + i*d**2 + z + m*d**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-50)*(t*t**(-1\/2))**(43\/2) assuming t is positive.\nAnswer: t**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1345518 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 12 = 0, 2*q = h - 34 + 28 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108138 and 2814?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -681*g - 499. Let v(x) = -227*x - 176. What is 6*r(c) - 17*v(c)?\nAnswer: -227*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:37 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28356357, 28356363, 28356345, 28356291, 28356189, 28356027, 28355793?\nAnswer: 28355475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2222.8732 + 2223. What is m rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 13486 + 3470. What are the prime factors of k?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31342465 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 52*g**2 - 49*g - 322. Determine z(-53).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 6545?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/66 - (-30729)\/33. Let u = 933 - m. Suppose 4*i - 1 - 27 = 0. Solve -l + u*z = 0, -l - 3*z + i = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/2*-2. Let t(m) = -m**2 + m + 1. Let u be (-6)\/8 - 22\/(-8). Let p(l) = 6*l**u - 5*l + 10 + 15*l - 18*l**2. Calculate d*p(h) - 10*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1674735?\nAnswer: 5024205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose 146*v + 87 = 149*v. Let r = -23 + v. Is y at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**3 + 89*w**2 + 129*w + 259. Is c(-55) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 28. What is the greatest common factor of 104 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-21) - 2\/(-7). Let x(u) = -25 + f*u + 25. Let h(y) = -2*y. Determine h(x(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -37*i - 1194. Let j be o(-34). Is j < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446940 divided by -89388.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:20 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(10\/(-2))*-1*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**5 + 25*u**4\/4 + 162*u**3 + 410. Find the third derivative of y(h) wrt h.\nAnswer: 120*h + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.56 - 0.56. What is the second biggest value in -2, l, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591*h = -590*h - 52. Suppose 12 = 2*p - 4*n, -3*p - p - 3*n = 31. Let q be ((-6)\/p)\/(39\/h). Solve -q = -3*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 88 = c. Let n = -1 + c. Let k = -14 - n. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4451*a**2 + 242*a**3 + 2226*a**2 + 2225*a**2)*(-3 + 6 - 2) in the form c*a + o*a**2 + v + k*a**3 and give k.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -26. Suppose 0 = 54*a - 321 + 51. What is the remainder when v is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1134 + 16*z + 1134)*(-3*z**3 - 2*z**3 + 6*z**3) in the form k*z**2 + b*z**4 + x + f*z + p*z**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*r**3 - 7033*r**2 + 879323*r wrt r?\nAnswer: 108*r - 14066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f + 1. Let h be n(-1). Let m be h\/(-5)*(-120)\/528. What is the third smallest value in 0.2, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 4.3215 (c) 1\/10 (d) -16 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 - 61 + 61.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*g**2 - 893*g**2 + 716*g**3 + 1823*g**2.\nAnswer: 716*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -20. Solve x*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 - 2*b + 6. Give y(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwowwwowwhhow. What is prob of sequence oh?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564358499*i**2*s + 4*i*s - 34*i - 34*s - 6131 wrt i?\nAnswer: 1128716998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1010230?\nAnswer: 1010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 8*w**2 + 16*w + 2. Calculate h(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7 = f. Let g = f - 4. Put -2\/3, 1, g in increasing order.\nAnswer: -2\/3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 876573, 876574, 876575, 876576, 876577?\n\"Answer: v + 876572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f. Solve f = 4*w - 3*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from qboreqooqoqbobboxx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -23)*(-4)\/3. Let j be ((-2)\/t)\/((-2)\/4). Suppose -3*p = p - 311 + 299. Which is the third smallest value? (a) 0.5 (b) p (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -58*u + 79*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 186*f - 540. Let x be a(-3). Let b(n) = n - 5. What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 312?\nAnswer: -311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 divided by 2?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -1689, -3743, -6635, -10365, -14933, -20339?\nAnswer: -26583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3558898\/195 - -91256\/5. Calculate the common denominator of -79\/2522 and m.\nAnswer: 37830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1525, 3631, 5749, 7885, 10045?\n\"Answer: g**3 + 2099*g - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14*(-140)\/(-1040))\/(((-2880)\/108)\/(-80)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/1)\/(7\/(-14)). Let r = k + 17. Suppose 40 = 3*i - 5*v - 3, 3*i - 3*v = r. Calculate the lowest common multiple of 18 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 2*x**2 - 2*x**4 + 7*x**4 - 1 + 2*x**3 as d*x**3 + n*x**2 + i*x**4 + y + b*x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 15, -q = 5*w - 24 + 50 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13530 and 268818.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 9*b - 1. Let l be 3\/(-6)*-6 + -11. Let x be s(l). Suppose 0 = -t + x - 1. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j - 2. Let m(p) = -4*p + 2. Let z(n) = 3*b(n) + 4*m(n). Let s(c) = 2*c - 2. Let g be 0 + (-33)\/3 + (-1 - -23) - 9. Calculate g*s(t) + 3*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -2. Let a(m) = 2*m + 1. Let j(w) be the second derivative of -w**3\/6 + w**2\/2 - 3*w - 1. Let x(u) = -2*a(u) - 2*j(u). Calculate x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let r(s) = -2*s**2 + 184. What is j(r(n))?\nAnswer: -4*n**4 + 736*n**2 - 33856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/7, 10\/19, 127, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - (-1797)\/60*-58991. Let c = -1767364 - y. Let s = c - -583. Is 0 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21000100112010 (base 3) to base 13.\nAnswer: -a06557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*a = 301*a - 4. Let m be a\/5*9 + -4. What is the nearest to m in 2, 0.11, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 13. Suppose -u = -5*i + 2*u + 33, 0 = q*u - 16. Solve i = 4*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 297 + 52 = 0. Suppose 4*c = -5*o + 59, 3*o - 2*c = -c + g. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108931950 divided by -15.\nAnswer: -7262130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-27)*18\/(-4). Let x be (-1)\/2 - (-6)\/24. What is the closest to 1\/4 in o, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12595080, 25190157, 37785234, 50380311, 62975388?\nAnswer: 75570465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzzjjjjjjjjjzjjzzj. Give prob of picking 2 j and 1 z.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 23475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -27, 0, -3\/17, -5, 4\/9, 2\/7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*u - 14 + 14.\nAnswer: 333*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 35 - 26. Let n(x) = x**3 + 5*x**2 + 5*x + 7. Calculate the remainder when n(w) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4825784.9 - 4825783.39999922. Let n = 1.5 - m. What is n rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:16 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 692.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 743 + -737. Solve -n - d*n - 28 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -6. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -504*b + 20. What is the hundreds digit of s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (20 - 12) + -15 - 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 240526035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6, l: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-25 + 10004\/246)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 6*q**2 - 15*q - 5. Let k be y(8). Let a(m) = -m**2 - 1. Let r(s) = -8*s**2 - 3. Let t(v) = k*a(v) - r(v). Let o(n) = 8*n. Give t(o(i)).\nAnswer: 320*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 22709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278*o - 484*o + 1904*o**2 + 72*o**2 - 4*o**3 + 6*o**3 - 613*o wrt o?\nAnswer: 12*o + 3952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + -9 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -661.6 - -678.6. What is the second biggest value in d, 8\/7, -3\/10?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7185 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27*(4 - 20\/6). Suppose -15*a = -i*a + 21. Factor 15*h + 3*h**3 - 8*h - a*h - 3*h**4.\nAnswer: -3*h**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o**2 - 2*o - 1. Give w(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 times -0.2\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2511 + -1610. Is t a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -16. Let l = 15 - w. Let z be (-4)\/5*(-70)\/l. Solve -4*p = 2*x - z, -3*p + 5*x + 0*x = 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/60 - 11*z**5\/6 - 29*z**4\/6 + 112*z**3\/3 - 472*z**2. Solve d(p) = 0.\nAnswer: -2, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3078)\/342 + (2 - (0 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 76986?\nAnswer: 92\/38493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 - ((-266)\/(-147) - 3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-36)\/(-108).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.2? (a) -6 (b) -2.31 (c) -3 (d) 2\/19 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7 + 2*a**3 + 1 - 5*a + 5 to the form m*a + n*a**3 + x*a**2 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-690)\/(-3220)*((-6)\/(-8))\/((-9)\/(-24)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3372305 divided by -5\nAnswer: 674461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7407, -6574, -5741?\n\"Answer: 833*v - 8240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Let j be 10*(44\/(-10) + u). Find the common denominator of (10 + -1)*(-12)\/j and -11\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6. Suppose -5*a = f - s, 0 = -4*a - f + 1 - 0. Solve -3*b = 4*o + 8, 0 = -0*o - o - b - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238520 divided by 5963\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n - 57*n - 35*n - 91*n.\nAnswer: -142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 70, 112, 182, 286, 430, 620?\n\"Answer: o**3 + 5*o**2 - 2*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -369843*c**2 + 630*c + 45. Let j(m) = -16811*m**2 + 28*m + 2. Calculate 2*g(r) - 45*j(r).\nAnswer: 16809*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/30 - 2\/(-4). Let n = 2 + -2. Which is greater: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1288*q**2 - 2580*q.\nAnswer: q*(q - 2)*(q + 1290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3926580 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {y: 1, i: 2, u: 1, r: 2, d: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2 - 19052*c*x**3 - 9152*x**3 wrt c.\nAnswer: -4*c - 19052*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdpjbbpbbppppppj. What is prob of sequence jpjp?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:39 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.00562 or -1\/4?\nAnswer: 0.00562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007459243988 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 16. Let b(m) = m**2 + 2*m - 19. What is the remainder when k is divided by b(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7400640 and 468.\nAnswer: 22201920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81921 and 77812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14 = -5*f - 8, -2*f = l - 15. Suppose -8 = -q + 16. Suppose -16 = -f*c, -s = s + c - q. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411494, -822983, -1234474, -1645967?\nAnswer: -2057462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92006 (base 10) in base 8?\nAnswer: -263546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 820*a**2 - 28768*a + 1453248.\nAnswer: -4*(a - 27)*(a + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 153.6 (b) -20 (c) 2.39 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 510611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12312409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396875 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/81*15)\/((-5)\/14997) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-2*i**2 + 3*i**2 + i**2)*(-190 + 31*i**2 + 190).\nAnswer: 62*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 - 3019596*y - 63409752 = 0 for y.\nAnswer: -754878, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -26. Let j(s) = 2*s - 1. Determine j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7712 (b) 2 (c) 36.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.71 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2376644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786960 divided by -4.\nAnswer: -196740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103, 97, 81, 49, -5, -87, -203?\n\"Answer: -z**3 + z**2 - 2*z + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96304151 + -0.04792.\nAnswer: 96304150.95208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/51 and -17\/177.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**3 + 4*v**2 - 14*v - 16. Let n(b) = -11*b**3 - 3*b**2 + 15*b + 17. Let l(d) = -4*n(d) - 5*r(d). What is l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = 3*n - 7, d - 3*n = -6. Suppose 2 = -z + d*z. Solve 1 = r - z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(1701) + sqrt(1701) - sqrt(1701)))\/(-6*(sqrt(1764)\/sqrt(7) - sqrt(7)))*-2.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 0.07, 17, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 - (1 - 4). Suppose -3*q = q - 32. Suppose 0 = 2*p - 5*u - 18, 0*p - a*u = -p + q. Solve 5*o + 4 = 5*l + p, 4 = -l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925*p + 2668*p - 200*p**3 - 943*p - 800*p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 76799?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwekmd. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h, j + 0*h - 5*h = 2. Let i(d) be the first derivative of -1 - 2\/3*d**3 - 2*d - 2*d**j. Factor i(v).\nAnswer: -2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19695*x - 1057787 = -3210026 - 742926 for x.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c7 - -2883d?\nAnswer: 28a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17670557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79388.4601 rounded to the nearest 1000?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1847248 and 27\/89024.\nAnswer: 7388992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.4 - 1721.4. Is -1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169948496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1606*u + 1393*u + 1917 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1)*(-20)\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + y = -10*g - 189, -360 = -2*g - 4*y. Let s be (-4)\/14 - g\/(-14). Suppose s*z + 57468 + 904532 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Suppose 3*s - z*l = -4 - 4, -5*l = -2*s - 9. Let v be (42 + 4)*1\/(s\/100000). What is v rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:28 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(56)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = -2*d - 3, 0 = -2*y + 2*d + 6. Suppose -15 = -y*c - 5*c. Solve -3*k + 18 = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 8975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1, -2\/21, 2\/47, 6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112) + -2 + 4 + -4)**2*4.\nAnswer: -384*sqrt(7) + 2784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8*m. Suppose -7*c = -11*c + 5*t - 2703, m = -5*c + t - 3363. Let d = -5 - c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*m + 26, 5*m - 3*r = -2*r + 34. Let h = 9 - m. Solve -2*z - 4*y = -14, -z - 9 = -4*y + h*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7274769l to millilitres.\nAnswer: 727.4769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 0 - 6\/3. Let z be 0*((-9)\/6 - l). Solve z*j + 5*j = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/432*((-8)\/6)\/1)\/(3\/675)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -46 + 10. Let u(v) = -3*v**2 - 12*v**t - v + 24*v**2 - 4 - 4*v**2 + v**3. What is u(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 equal to 101.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -630\/13?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -66*i + 739. Let s be k(12). What is the second biggest value in 11\/5, -2\/15, s, -0.5, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 9 - 13)*((0 - 1 - 1)*(2*m + 5*m - 5*m) + m + 4*m - 3*m + 2*m + m - 5*m + (-4*m - 2*m + 3*m)*(0 - 2 + 0)) in the form i*m + l and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 88*j**4 + 89*j**3.\nAnswer: -j**3*(j - 1)*(j + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9052883079322 - 0.5.\nAnswer: 9052883079321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11168137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24\/69815, -1\/4 in descending order.\nAnswer: 24\/69815, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1263.939 + -1264. Let q = 2085.661 + -2101.5. Let j = q + b. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 420*k**4 - 7218*k**3 - 41520*k**2 - 93225*k - 58500.\nAnswer: 3*(k - 156)*(k + 1)*(k + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -8. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6104 + -6029. What is the remainder when 139 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**3 + 2846*a + 278906.\nAnswer: -30*a**2 + 2846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.1, -5\/4, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 117 - 119 = 0, 5*p + 26 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 15, n: 5}. Give prob of sequence qnq.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348854354.\nAnswer: 2, 277, 629701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 4}. Give prob of sequence fff.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-4*sqrt(735))\/(-3*-2*sqrt(3) - sqrt(12)*2))**2.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (82*f + 26*f - 23*f)*(-1 + 1 + 1 + (-2 + 1 - 1)*(-2 - 1 + 1))*(-2 - 1 - 1) in the form y*f + s and give y.\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39282209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*c - 23580 = -30*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 43*f = -46*f - 170822, -2*h + 68335 = 5*f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjbjbbbjbjj. Give prob of sequence bjb.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*x - 5*x - f, 0 = -x + 3*f - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -527 (base 10) to base 15.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2027.974 - 2029.1740024. Let y = -1.2 - m. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -378*v**2 - 387*v**2 + 756*v**2 + 4*v. Let y(x) = -28*x**2 + 13*x. Suppose 28 = -5*l + l. Let j(s) = l*r(s) + 2*y(s). Factor j(u).\nAnswer: u*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 19 + (-9)\/(-3). Suppose 0 = -3*i - 5 - 1, 5*p = 2*i + s. Suppose -2\/9*b**5 - 4\/9*b**4 + 0 + 0*b**p + 2\/9*b + 4\/9*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -19 - 12) + 0 + 1 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and 0.0849?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppippippppipippppipp. What is prob of picking 1 p and 3 i?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 42. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031253 (base 7) to base 10.\nAnswer: 242980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42505251 (base 6) in base 14?\nAnswer: -248967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.916, 8.36 in descending order.\nAnswer: 8.36, 0.916, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2*l**2 + 12*l + 5. Is r(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/141030 and -70\/42309?\nAnswer: 423090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 43?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 17. Let s(u) = u**3 + 17*u**2 + 23*u - 21. Suppose 3 = -9*j - 132. Let p be s(j). Calculate the greatest common divisor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19331150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.010572.\nAnswer: 0.0042288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44101422 + 14?\nAnswer: -44101403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/7 + 24*c**2 + 1404*c\/7 - 5832\/7.\nAnswer: 4*(c - 3)*(c + 18)*(c + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 8)*(3*g + g - 3*g) + 0 + 2 + 87*g + 2*g.\nAnswer: 98*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 55*g + 3551. What is u(58)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 738683223 to the power of 1\/3, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3667*u + 17473*u**2 + 3667*u - 17477*u**2.\nAnswer: -4*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.158 + -70.842. Let r = w + 71.000148. What is r rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73656015.\nAnswer: 3, 5, 821, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -368900 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26817.\nAnswer: 3, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*0\/1*-1. Suppose -4*t - 16 = 0, -q = -4*q + 3*t + 24. Solve v*a + q = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 214\/13*d - 2\/13*d**2 - 48.\nAnswer: -2*(d - 104)*(d - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 4. Let w be i(0). Suppose 176 = 3*u + o, 3*o = 7*o + w. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (238095\/(-2035))\/(36\/(-8))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -14. What is the nearest to v in -8, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4992 = 471*z - 783*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -4. Suppose -5*p = -3*p + 3*z + 25, 4*z = a*p + 74. Let t = p + 14. Solve -4*k + t*k = 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 + 0*a**3 - 1\/12*a**4 + 4*a + 0*a**2. Let r(f) = -39*f**2. Calculate c(r(z)).\nAnswer: -1521*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -16*s + 11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -182, -365, -548?\n\"Answer: -183*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/15)\/(1*(-1)\/(-5)). Suppose 2*a - 3*b = -w*b + 307, -b - 149 = -a. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.2 + 59. Let z = i - 14. Let f = 2.2 + z. Which is the nearest to f? (a) -4\/7 (b) 1\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i\/i**2))*i)\/i*i)\/i*(i*i\/(i**8\/i))\/i*((i\/i**(-2))\/i)**40)**33 assuming i is positive.\nAnswer: i**2442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + -3 + 2 + -2 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3102.2 + -294.6. Round q to the nearest ten.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51475375, -102950752, -154426129?\n\"Answer: -51475377*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 118503.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 7*o**2 + 10*o - 13. Let b be y(-6). Which is smaller: -35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110101010010100000 - -11010011?\nAnswer: 100110101010101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s. Let y(m) = -216458233*m. What is y(q(h))?\nAnswer: 432916466*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Put 0, h, 4 in ascending order.\nAnswer: 0, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 295, 1251, 3179, 6403?\nAnswer: 11247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-23)\/(-7))\/((-2)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*36\/24*4\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 45\/2 - 21*m**2 - 12*m - 3\/2*m**4 + 12*m**3 = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -12*k**5\/5 - 35384*k**4\/5 - 34645008*k**3\/5 - 11264579976*k**2\/5 + 3758710748*k\/5 = 0.\nAnswer: -1103, -923, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 3, u: 7, q: 1, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(385)*2)\/(sqrt(35)\/(sqrt(5) - -1*sqrt(5))))\/((1*sqrt(3000))\/(2*sqrt(864) + sqrt(6))))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 63 = -3*n - 4*h, 0 = n + h + 69. Let b = n + 54. Let f = 88\/5 + b. Which is bigger: f or 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17350 + -17341. Solve -7*y + 3*w = 9 + 7, 4*w - f = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 14*g + 45 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-100 - -2)*26\/(-91)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*j - 279*j + 299*j - 117*j - 288*j.\nAnswer: -819*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -16, -35*d + 147 = -40*d + 10*d - 3*f for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 141, 230\/14817 in decreasing order.\nAnswer: 141, 230\/14817, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 + 3864*h**2 + 23072*h + 30720 = 0. Calculate h.\nAnswer: -960, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20626 - 1621 = 35*k. Is 531 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (0 - 147))\/2. Let l = v + 74. Let q(y) = 8*y - 87. Let k be q(11). Which is greater: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 4*m**4 - 245 + 247 + 19*m**2 + 0*m**4 - 20*m**2 to p*m**4 + u*m + v*m**3 + f*m**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -123.941. Let y = -0.05899 + u. What is y rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4615 and -11?\nAnswer: 50765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.11 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11472 and 630313744.\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 65, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 20*m = 3*j - 289, 2*j = -5*m + 202. What is the greatest common factor of j and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3122908*m**2*s - 7*m*s + 63556*m + 1 wrt m?\nAnswer: 6245816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = 1. Suppose 0 = d*g - 4*u - u - 15, 2*g + 5*u = -15. Let c be 0\/(1\/(1\/(-1))). Is c at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/3, -1, -93, 4\/75 in decreasing order.\nAnswer: 1\/3, 4\/75, -0.2, -1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*-4*sqrt(51))\/((sqrt(588)*-3 - sqrt(588))\/sqrt(4)) + 1.\nAnswer: -5*sqrt(17)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 times 527?\nAnswer: 66402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 13*o - 0*o. Suppose 0 = o*l - h - 568, -16 + 7 = 3*h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -21. Let s be (-2 + 1)\/(u\/(-475)). Let w = -154 - -130. Which is greater: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.007602 to one decimal place.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.8. Let t = -4 - -3. What is the closest to -0.2 in t, w, 3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 32 + 3 = 7*j - 22, 4*j = -4*x - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*h**2 + 22*h**2 - 50*h**2)*(-275 + 275 - h**2 - 8*h).\nAnswer: -14*h**4 - 112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 3707 - 4938 = 0. Let j = v + -567. Calculate the highest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 - 6*z + 5. Let t be c(5). Suppose 4 = -2*a, t*x + 4*x = -a + 38. Suppose 2*k + x - 32 = 0. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 24 = 28. Solve -w*g + 7*g = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151241229?\nAnswer: 113, 1301, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-8 - (-3 + (-2 - -5) + -7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 7230879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 - 3*i**3 + 11*i**2 + 12*i. Let g be y(18). What is the derivative of -g*c**2 + 289 - 303 - 12*c**2 wrt c?\nAnswer: -68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8129*s - 8138*s + 16267*s + 4071*s**2 as b*s**2 + p*s + j and give b.\nAnswer: 4071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 35*p**2 + 5*p - 3. Let j be m(17). Let n = -144 - j. Suppose 3*v - 63 - 36 = 0. What is the remainder when n is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y*y**(-4)\/y*y*y*y)**46)**35 assuming y is positive.\nAnswer: y**(-4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q\/q**13 assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 28519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 - 4*k + 6. What is g(4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/348 (b) 3 (c) -81.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v - 295*v - 4770 - 6390 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k + 10 = 0, 0 = -s - 2*k + 7. Let x = -7 + s. Put x, 2\/7, 0 in descending order.\nAnswer: x, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1999, -2003, -2007, -2011, -2015?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 12*h + 17. What is g(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.2 + 17. Which is the smallest value? (a) 4 (b) s (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/170 and 1869\/(-1925) + (-2)\/(-22).\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13 = z, 4*z + z + 3*y = 87. Suppose z = q - 7. Let b(w) = 15*w - 2. What is the remainder when q is divided by b(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4 - 1 + 2 - p**2 - 13*p - 6. Let l be v(-12). Solve 0*g - 4*d = -4*g - 20, -l*d = 5*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 + -4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49*(-51)\/(3927\/22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:34 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let q = 5797 + -5801. What is the second biggest value in -2, 3, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 81 = -226*h + 229*h, 2*y - 2*h = 58. Solve y*w - 33*w - 35 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 1 q when three letters picked without replacement from {m: 6, r: 2, w: 1, k: 1, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(1*2*-1). Suppose 2*a - o = 1. Solve a*x = x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - k - 14 = 0, -f - 27*k + 11*k = 69 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + j - 33 = -136, 3*j = 2*p - 64. Let h be -4 - -1*(-4 + p). Suppose 24 = 3*s - h. What is the remainder when 33 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-14))\/((-4)\/14). Sort f, 0.4, 1\/4 in ascending order.\nAnswer: 1\/4, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 > 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4 - 17 = 0. Solve -6 = -h*b - 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112010202120120 (base 3) to base 12\nAnswer: -2624613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let p(j) = 482763*j. What is p(w(n))?\nAnswer: -965526*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 4. Suppose 0*h - 4*f = -h + 25, -2*h + 4*f = -30. Determine m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2503615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -8. Let p(j) = -3*j**2 - 14. Let x(v) = v**2 + 5. Calculate q*p(a) - 11*x(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0397549 and -10.\nAnswer: -0.397549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05416498 rounded to three decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lom when three letters picked without replacement from lloooommmom.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/565 and 80.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2113.1 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47294164 + 47294170.0000022. Let x = i - 6. What is x rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 266. Let j = 41.05 + d. Which is the closest to 0? (a) 1 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5200\/12 - 2\/(-6)*-1?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 747 and 2739?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5219844*u**4 - 43819245 wrt u.\nAnswer: -20879376*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 59.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 126\/(-35))\/((-4)\/(-80)*4). Solve 3*c + 3 = -3*x, -9*c = -6*c + y*x + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**2 + 10*b - 9. What is the units digit of d(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*o - 170*o + 840 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 19. Let y be l(9). Let j(q) be the third derivative of 0 - 1\/30*q**5 + 0*q - 2*q**2 - 1\/6*q**3 - 1\/12*q**4 - 1\/24*q**6. Determine j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 61*r**2 - 77*r + 229. Determine b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i - 3. Let g(t) = t**2 - 3*t - 4. Let o(f) = -4*d(f) + 3*g(f). Let h be o(5). Is 7393\/15 - h\/75 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/((-1)\/((-25)\/5))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 185445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.32 + -1.32. Which is the nearest to g? (a) -5 (b) 0.2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and 7\/4028?\nAnswer: 36252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 22 - 20, 5*s + 3*k = -1734. Is -348 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + sqrt(7) + 1) + -3.\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n - 5*n**3 + 18*n + 0*n**3 - n**3 + 0*n**3 + (4*n - 2*n + 2*n)*(n + n**2 - n))*(0*n + 6*n - 2*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 9*f**5 - 2914*f**4 - 114327*f**3 - 1088576*f**2 - 1188852*f - 211680 = 0?\nAnswer: -21, -14, -1, -2\/9, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -156, -219, -280, -339?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 226, -2 in ascending order.\nAnswer: -3, -2, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**3 + 4*k - 5. Give h(2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7338120831.\nAnswer: 3, 271782253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -10 + (-15 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d4 (base 16) to base 5.\nAnswer: 21432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54721\/390150 - 2\/7803. Let z = r + 3\/50. Which is the biggest value? (a) z (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 5*d + d - 4. Suppose 4 = 4*t - 4*g, -141*g = -136*g + 15. Let b be u(t). Solve -5*j - 5 = -b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elr. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwgnnnnnijnnwgwwj. Give prob of sequence gw.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:05 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1419*y**2 - 42*y - 3. Let c be o(-21). What is c rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17174, 17148, 17104, 17042?\n\"Answer: -9*x**2 + x + 17182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(95)\/sqrt(5) + sqrt(19)))**2 + -5.\nAnswer: 7595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*a + 116, -243*u + 26*a + 156 = -245*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.03 - 1.02999913. Round s to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 45. Does 6 divide l(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 4555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 1:28 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 15 = -4*d, -20 = -5*l - 34*d + 29*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 106, 128, 146, 160, 170, 176?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 42 = d, s - 3*d = 3*s - 26. Let v be (-2)\/s + (-1)\/(-5). Suppose 2*i - 2 = 8. Solve -i*c - 40 = -v*c + 5*b, -5*b = c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1950276\nAnswer: 390055.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/28 + (-1)\/2. Let l = 18 + -17. Put 3, v, l in ascending order.\nAnswer: v, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-1299)\/9. Suppose 0*n + y = -5*n + 2*q, -159 = 5*n + 3*q. Does 4 divide 1\/(-6) - 425\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*1\/(-1)*1. Suppose 3*t - 5*k - 15 = -2*k, 3*t - 4*k = 15. Let x = t - h. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (-21 - -46 - (4 + 5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4155579660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (-4)\/4*1. Suppose 0 = -8*a - l*a - 1455. Let y = a - -287. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5805 + 5911. Which is the biggest value? (a) 1 (b) 0 (c) 4 (d) k (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333174477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24.9, -2\/3, 5\/3, -5, 1 in decreasing order.\nAnswer: 24.9, 5\/3, 1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -4*r - 3650. Let y = -167 + r. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15 and -31\/576?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 922947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:49 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -3 + -12 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -279*x**2 - 81*x. Let h(u) = -14*u**2 - 4*u. Let y(t) = 81*h(t) - 4*z(t). Let k(w) be the first derivative of 0*w + 1\/2*w**2 + 47. Calculate k(y(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318557745 or 0.2?\nAnswer: -318557745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(3)*5) - (-1*sqrt(112) + sqrt(112) + sqrt(7))*5.\nAnswer: -51*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 5, s: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, -61 in decreasing order.\nAnswer: -1, -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bzzsbboboss?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257c57 (base 13) in base 4?\nAnswer: 220101101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:01 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15358 - 1351477\/88. Find the common denominator of 3\/40 and p.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 136?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**3\/6 - 10*l**2 - 1. Let v(p) = -p + 6. Calculate -5*i(u) - v(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 14. Let q be (-9)\/((12\/14)\/((-12)\/21)). Let m be (-1)\/(-3 + q + 50\/(-17)). Is s < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 443183935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010100011 + 11111011?\nAnswer: -11101110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22521166 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - (-27)\/18. Find the second derivative of 3*x - x + 5*x**z - 6*x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/10 + z**4\/24 - z**3\/6 + 9*z**2. Calculate c(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 18. Let r be z(4). Suppose 2*a - 3*a = r, -a + 1228 = 5*m. Suppose 6*n - 144 = m. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 240*r**2 - 3*r - 11. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6)*-5)\/(108\/(-810)). What is the greatest common divisor of 25 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**4\/6 + 5*c**2. Let u(y) = 23*y + 3. Let r(i) = 130*i + 17. Let g(f) = -6*r(f) + 34*u(f). Determine g(o(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 44. Let n be d(-16). Let t be (n - 9)*(-2)\/5. Solve 2*u - 2 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.045 - 4.645. Let p = 5 + s. Let c = -3.67 + 3.67. What is the nearest to 0.19 in p, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 times -70478?\nAnswer: -535632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 889095 by -5.\nAnswer: -177819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 1 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 3*a + 1. Let s be b(3). Suppose 5 = 3*x - 1. Let k(j) = -3 + j**3 - j**x + 3 + j. Determine k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 11. Suppose -w - 3 = u. Is 5\/w - 327\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 99294*n + 67013. Let w(f) = 1839*f + 1241. Let c(j) = 323*w(j) - 6*x(j). What is the first derivative of c(d) wrt d?\nAnswer: -1767","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 smaller than 9620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758479001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 62 - 68*g**2 - 62 + 67*g**2. Let x(k) = -3*k**2 - 5*k - 1. Let r be (-1 - -4) + 2 + 0. Calculate r*d(j) - x(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91 + 20*g**2 - 21*g**2 + 105 + g - g to a*g**2 + c + h*g and give c.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 110*j**2 + 3 + 79*j + 110*j**2 - 3 - 221*j**2. Let u(i) = -i. Determine x(u(r)).\nAnswer: -r**2 - 79*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 5\/24*u**4 + 0*u**5 + 0*u**6 + 1\/105*u**7 + 0*u + 0 + 6*u**2 + 0*u**3. Find the second derivative of s(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g**2. Let f(p) = p**3 - 8*p**2 + 7*p + 3. Let t be f(7). Let l(x) = -5*x**t - 5*x**2 - 4*x**2 + 6*x**2 + 12*x**3. Determine l(v) - 3*m(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250 is divided by 217.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -935 + 6539\/7. What is the smallest value in 0.4, k, 0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*o - 20 = 0, 2*s + 3*o + 36 = -3*s. Let r = -3 - s. Solve r = g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 4*g**5 + 4*g**5 + (-4 - 1 + 2)*(-29*g**5 + 3*g - 3*g).\nAnswer: 91*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 times 838?\nAnswer: -310.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + t + 2. Let q be ((-4)\/(-6))\/(2\/6). Calculate the least common multiple of f(q) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.504 + -5.05. What is the third smallest value in -0.5, w, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 - 9*n**3 + 11*n**3)*(2*n**2 - 5*n**2 + 12*n**2 + (0*n + 0*n - 3*n**2 - n**2 + 3 - 3 + (-2*n + 4*n + 0*n)*(-2 + 2 - 2*n))*(1 - 8 + 1)).\nAnswer: -342*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226903 is divided by 201.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5*h**4\/12 - 4*h**2 + 7*h. What is the derivative of r(q) wrt q?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 6*z**2 + 0*z**3 + 7 + 12*z + 6 + z**3 in the form n*z**2 + y*z**3 + p*z + u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/((-10)\/45))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 10589 + 10346. Solve 9*g + k = 90 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/24 + 30*g**2. Let f = -130 - -116. What is the remainder when 67 is divided by z(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17743 - -17694. Which is the nearest to -1\/3? (a) -9 (b) y (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i - 6. Suppose 0*v = -3*v + i. What is the second derivative of 2*t**3 + v*t**4 - t - 2*t**3 wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - f + 3 = 0, 5*p - 12 = -3*f - f. Suppose 2*d + p*d = 0. Is -1\/5 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 - 208. Suppose -5*c = -6*c + t. Calculate the lowest common multiple of c and 12.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmk when three letters picked without replacement from {m: 2, k: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 126\/7) + 45. What is the greatest common divisor of 3263 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 0. Let v = a - 11. Suppose 158 = s + v*s + 4*j, 3*s = 3*j + 186. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -166. What is the nearest to 1 in -47, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6009*g = 5985*g + 1296. Calculate the least common multiple of 606 and g.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 1.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 62*j**2 - 3 - j**3 + 0 - 62*j**2 as n*j + x*j**3 + r + y*j**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 70, -5, -859, 5 in descending order.\nAnswer: 70, 5, 0, -5, -6, -859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56182185874.748 and 0.1?\nAnswer: 56182185874.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lffflffff. Give prob of sequence lff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001476 to seven dps.\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((sqrt(4608)*2)**2 - sqrt(4608)) + 1 - sqrt(4608)))*6 - (1*2*sqrt(4608) + (-3*sqrt(4608) + -3 - sqrt(4608))).\nAnswer: -480*sqrt(2) + 110589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = 56. Calculate the remainder when 44 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.602297 minutes to microseconds.\nAnswer: 216137820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5653241414 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138172507.\nAnswer: 11, 83, 151339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/110)\/(49\/35)*252\/(-90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - b + 3433*b**3 + 3440*b**3 - 6900*b**3 in the form n*b**3 + k*b + w + d*b**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48963 - 184979 = -8*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/((-11935)\/558)*7\/11.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -12, -23, -34, -45?\n\"Answer: -11*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.6? (a) 2565 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -967898*5.\nAnswer: -4839490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 238399342*t**3 + 14208562043306917*t**2 + 56834245312435596*t + 56834244358838244.\nAnswer: (t + 2)**2*(t + 119199669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5547.23 - 5481. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*3\/2 - (18 - 15). Suppose r = 3*n - 3*a - 282, -2*n + 4*a = n - 278. Calculate the highest common factor of n and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20*75\/(-125))\/((-6)\/(-4)))\/34.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxj when four letters picked without replacement from ndxdjndntttdd?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.4 (c) -5 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p**2 + p - 2. Let z(u) = u**2 - 1. Let j(l) = d(l) - 2*z(l). Calculate j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*r + 167 - 167.\nAnswer: -934*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110254773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 12, 24, 52, 102, 180, 292, 444?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 269?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, 2\/26531, -0.1?\nAnswer: 2\/26531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) 0.1 (c) 1\/7 (d) -2606.3 (e) 4 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7920 - 7504. Calculate the smallest common multiple of 16 and h.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + -0.3. Let p = c - -0.69. Put 0.3, -0.3, p in increasing order.\nAnswer: -0.3, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3*a - 8, 16*a - 2 = 5*c + 13*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.7 + 34362.\nAnswer: 34376.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070063 to four decimal places.\nAnswer: 0.0701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 856035 - (-17)\/((-476)\/(-64))*7\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1, 0.6, 4, -1\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 6?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4746 and -115\/43764.\nAnswer: 4945332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**3 + 12*q**3 - 30*q**2 + 17*q**3 - 55*q**3.\nAnswer: -q**2*(q + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = 4*g. Let c(l) = -l - 1 + 10 - 6*l**3 + 5*l**g. List the prime factors of c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcoi when four letters picked without replacement from {c: 2, z: 2, v: 3, o: 2, b: 2, i: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-495)*(-10)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00249372 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.44277 - 151.17. Round h to three dps.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -2113881160?\nAnswer: -2113881159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87673.3649 + 87677. Let f = -4.48 - -0.83. Let n = d + f. Round n to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 419 - 223. Let w = -95 + a. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 - 169*b + 18. Calculate f(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/13 + 668*d\/13 - 55778\/13 = 0. Calculate d.\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/6 - 13\/42. Is b not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76632*t**3 - 56341*t**2.\nAnswer: 459792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 22*q**2 + 6*q - 64. Let u be g(26). Let t = u - 1039. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 2, u: 3}. What is prob of sequence oo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 67.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 55*g**2 - 4*g + 151. Give w(55).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 0.16. Let u = 0.2 - q. Let s = 0.5 + -1. Which is the third smallest value? (a) -0.4 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854461681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3*l. Let w be x(4). Let r be (0\/(-4))\/2 + 32. Suppose 0*q - w*d = -4*q - r, -5*d + 4 = q. Let b(z) = z**2 + 6*z + 2. Calculate b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -918b + 4?\nAnswer: -9187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.152016 to two dps.\nAnswer: -15.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -0.05, -2\/11, -5, 22\/9 in descending order.\nAnswer: 22\/9, -0.05, -2\/11, -3\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -3, 1000?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.03, 6, -2\/7, -9, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34066? (a) -5 (b) 5 (c) 4 (d) -3\/4 (e) -2\/9 (f) 208\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 0. Let m(s) = -3 - s**3 + c*s**3 - 3*s - 4*s**2 - s + 2. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5, 0 in descending order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 9597937 = -3002063. Round u to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1009*n**3 + 4*n**2 + 5*n - 1065. Let l(d) = 3026*d**3 + 11*d**2 + 15*d - 3174. Let p(j) = 4*l(j) - 11*t(j). Find the first derivative of p(y) wrt y.\nAnswer: 3015*y**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19074 and 67818?\nAnswer: 86892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 - u**2 + 3*u**2)*(3 - 7 + 1) to the form k*u**2 + f + a*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -459*a**2 + 1514 + 3411*a**2 - 1515 to the form z + q*a**2 + l*a and give q.\nAnswer: 2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 2, j: 6}. What is prob of picking 1 u and 1 x?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -7*d**3\/3 + d**2 - 18263. Let b(c) be the first derivative of -2*c**3\/3 + 2. Determine y(b(v)).\nAnswer: -28*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let o(c) = 104626489*c**2. Calculate o(s(g)).\nAnswer: 104626489*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.83 + 5.23. Round n to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from bggbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y + 375 = 0. Let s be (28 + 0 + 4)*y. What is s rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 + 18*m**4\/5 + 7*m**3\/5 - 6*m**2\/5 = 0?\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53106323 to the nearest integer?\nAnswer: 7287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:34 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 6283.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 11. Let s be z(-4). Suppose 4*b - 19 = w + 8, s*b = -3*w + 38. Suppose 2*o - 29 = -b. What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120131121 + -223?\nAnswer: -120132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -1325826?\nAnswer: 1325819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1752)\/10)\/((-310)\/775). What is the greatest common divisor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -41*c**2 + 2*c. Let l(s) = 940*s**2 - 47*s. Give 47*h(u) + 2*l(u).\nAnswer: -47*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/109977 - 1674041\/2932720. Calculate the common denominator of -83\/1320 and z.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84433158, -84433149, -84433140, -84433131?\nAnswer: -84433122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*a - 6. Let m be (1 - (2 + -1))\/1. Suppose -a*f + 10*f - 55 = m. Solve 5*j - f = -d + 2*j, 0 = -4*d - 5*j + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676436.134488 + -0.01\nAnswer: -676436.144488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 388*a**4 + 7*a**3*g**2 - 59*g**2 - 2*g - 57 wrt a.\nAnswer: 1552*a**3 + 21*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -19339.633487.\nAnswer: -19339.333487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 1830, 4126, 7328, 11430?\nAnswer: 16426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -1108, -5 in increasing order.\nAnswer: -1108, -5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + v + 2 + 3, 4*v + 20 = -5*w. Find the common denominator of w + 2 - (-426)\/84 and 49\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/207654 and 56\/173045?\nAnswer: 1038270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:38 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29180\/7 or -4170?\nAnswer: -4170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1242082, -1242083, -1242084?\nAnswer: -1242085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0. Let f = -86629 - -86630. Which is the closest to f? (a) m (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + s - 3*s = 2, 2*s - 6 = -3*n. Suppose 2*a + 76 = -n*a. Let d = -12 - a. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 2. Suppose 0 = -54*k + 8*k + 22*k - 120. Give g(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 9 + 25, 0 = 2*a - 3*d + 8. Let y be (a - 2)*2\/(-2). Let p(q) = -q + q + q + y. Let c(g) = -4*g**2. Calculate p(c(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 1)*(-3)\/64. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - m**2 + 6*m**4 - 3*m**2 + m**3 as u*m**4 + c*m**2 + x + v*m**3 + b*m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -32879118 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.66 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-561)\/(-935)*(-40)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31943786.\nAnswer: 2, 7, 325957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499992447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 181818 divided by -27\nAnswer: -6734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -67 - 353. Suppose 3*i = -i + q. What is the remainder when 10 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.3425um in meters?\nAnswer: 0.0007563425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 17*q**3 + 4*q**2 + 4*q + 2. Let h = -13 + 11. Let p be b(h). Let t = -87 - p. Calculate the remainder when t is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s + 324 = 0. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 4. Let w be n(-4). Suppose -5 = -3*x - 5*f, 7*x - 3 = 6*x - 3*f. Suppose -3*s + 5*s = -3*p + 3, 8 = s - 5*p. Solve -s*z + x*z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/(-1)*2314\/33553)\/((-3)\/40).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 21 + 9, -2*f + 3*q + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13601635 and 2720327.\nAnswer: 13601635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - i = 3*i, 0 = -3*h - 4*i. Solve h*u = 3*q + 5*u + 14, -q = -2*u + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3179*w = -2114*w - 328806 - 171197 + 28926 for w.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12320003133 (base 4) in base 10?\nAnswer: 1802463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbmbb. Give prob of picking 2 b.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118187320.\nAnswer: 2, 5, 2954683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108871 is divided by 1377.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 1021, 1056, 1091, 1126?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5086417979 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 501590 - 501588. Determine s, given that -40*s - 23\/3*s**4 + 167\/3*s**x + 119\/3*s**3 + 1\/3*s**5 - 48 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133481815, -266963623, -400445431?\nAnswer: -533927239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 0 - 4 - -1 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:52 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*q)*(0*q + 0*q - q**2) + (7*q**2 - 4*q**2 + 0*q**2)*(q - 4*q + q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*o**3 - o**3 + 46*o**3 + 14242*o**4 + 1441*o**4 + (-5 + 6 + 0)*(-8*o**4 - 12*o + 12*o) as l*o**4 + t*o + d*o**3 + r*o**2 + j and give l.\nAnswer: 15675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1552.2.\nAnswer: 1551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.27 - -23. Let h = -0.13 + o. Let v = -1462\/5 + 292. Which is the nearest to v? (a) h (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279.4 or -9609?\nAnswer: -9609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4 - 6\/1. Let h be (-4)\/u - 1\/(-2). Let q(i) = -i**2 + 1 - h. Let c(j) = j. What is q(c(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12443 + 27156. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -644, -2352, -5728, -11342, -19764, -31564, -47312?\nAnswer: -67578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**4 - 3*o**3 + 3*o**2 + 4 - 3*o**2 - 2 - 55 to w + g*o + m*o**3 + z*o**2 + y*o**4 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018955 times -6?\nAnswer: -6113730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 2 - 2 - 2. Let t(a) = -6*a - 11. Let k(m) = -17*m - 7. Let c(v) = -k(v) + t(v). Calculate -5*b(y) + 2*c(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -250890 less than or equal to 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -881 - -1363. Solve t - 495 = 13*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 0*q**2 + 220970 + 3*q + 230311.\nAnswer: -q**2 + 3*q + 451281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21508 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 w(r) = r**3 - 3*r**2 - 2*r - 24. Let l be w(6). Calculate the common denominator of (-82)\/(-123) - (-95)\/l and 109\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310695367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -19, 3 in decreasing order.\nAnswer: 3, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*h - 67, 2 = -4*h + 2*h. Suppose -2*t + 2 = -0*t. Suppose 0 = 2*g + 2*w - 4, -g - 3*w - 3 = -t. What is the highest common divisor of g and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8850 and 1200.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -725.685 to 1 dp.\nAnswer: -725.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 132 - 132 - 17*r in the form n*r + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -35. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:20 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*g = -5*g + 13, -5*g - 14 = -3*p. What is the highest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*h + 452080 = -20*h + 458230 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/2*(4 - 2). Let d(u) = u**2 + 7*u + 5. Let g be d(i). Factor 8*r**4 + 6*r**3 - 3*r**2 - r**2 - 4*r**3 - 6*r**g.\nAnswer: -2*r**2*(r - 1)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + u = -0*m - 15, 0 = -2*u + 10. Let d = -110 + 109.995. Let k = d + 4.005. Which is the closest to k? (a) -3 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*u + 13 + 15, -5*u - 35 = 4*c. Let z be ((-5)\/c)\/((4 - 1)\/(-12)). Which is smaller: z or -14\/25?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 728.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 + 4*y - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q. Let l = 102 + -100. Let r(i) = -32*i**l - 31*i + 51*i - 20*i. Determine z(r(p)).\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcmcpccmcl. Give prob of sequence cv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17933163 and 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -121\/2. What is the biggest value in -3, -1, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vevgzgeplzveepezve. Give prob of sequence gpgz.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-180) + (-3)\/(-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:28 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 250, 5, 1, -136, -3 in ascending order.\nAnswer: -136, -5, -4, -3, 1, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1054 + 1054.3465. Round n to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6723, 13458, 20183, 26892, 33579?\nAnswer: 40238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**7\/2520 + x**6\/720 + 101*x**5\/60 + 8*x**4\/3 - 24*x. Let i(d) be the third derivative of j(d). Is i(0) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 31 - 34. Let o(q) = -1 + 2*q + r*q - 3*q. Let k(h) = 3*h - 1. Give -3*k(b) + 4*o(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*29\/(1450\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 11539552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 9. Let w = 74 + -78. Let j be (4\/(-10) - 0)\/(w\/40). Let q be y(j). Put q, 0.5, -1\/5 in decreasing order.\nAnswer: q, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849.806 bigger than -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/49 + -11\/49. Which is the closest to 0.1? (a) t (b) 0.1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(sqrt(2057)*-1*-2 + (-2 + sqrt(2057) - sqrt(2057) - sqrt(2057))*6))**2.\nAnswer: 38016*sqrt(17) + 1190016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + 1. Let x(f) = -3*f**3 - 4*f**2 - 2*f. Let m(q) = -4*c(q) - x(q). What is the units digit of m(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -176, -221?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axlillrllixlallae. What is prob of sequence ae?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05617, 5, -17.592?\nAnswer: -17.592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*((-2 - 3 + 3)*(-p + 2*p + 0*p) - 8 + 16*p + 8)*(0*p**3 + 0*p**3 - 2*p**3).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -v + 251, -4*v - 1005 = -4*r - 9*v. Let p = r + -171. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 14. Let m be y(-16). Let i = 43 + m. Suppose -i*z + 32 = -31. What is the lowest common multiple of 8 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13611655.\nAnswer: 5, 1637, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 125*m**2 + m. Let w be p(-1). Let q = w - 1239\/10. Let g = -23329.8 + 23330. Put -0.1, q, g, 1\/2 in increasing order.\nAnswer: -0.1, q, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220452.6 weeks to microseconds.\nAnswer: 133329732480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(9\/(-6) + 2). Suppose -5*u + 76 + 59 = z. Suppose p - 5*x - u = 0, 0 = -x + 4*x - 6. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Suppose 15 = 5*y + 35, 0 = -3*u + f*y + 34. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 13*z = 390. List the prime factors of z\/(-4) + (-3)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 1 - 3*n**2 - 21*n**3 + 0*n**3 + n**3 to the form h*n + l*n**2 + r + k*n**3 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 185*l - 181*l - 8 = -29, 11*o + 3*l = 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -54, -61, -90, -147, -238?\n\"Answer: -u**3 - 2*u**2 + 22*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12235\/8 - 1523. Let n = -28189\/40 + 1407\/2. Find the common denominator of n and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f - 2. Suppose 5*l - 20 = -0*l. Suppose -4*z + 2 = -2*x, -z - l = x - 0. What is the units digit of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203866.86 rounded to the nearest 100?\nAnswer: -2203900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -683 - -484. Let i = n + 198.99999166. Round i to 7 dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 116*g - 57*g - 54*g. Let w(x) = -11*x. Let r = -7 - -13. What is r*w(f) + 13*c(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/9 (b) -10.535 (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 416.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4315*h**2 - 3*h - 9?\nAnswer: -8630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5054\/3 or 141?\nAnswer: 5054\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -93*d. Let s(j) = 435*j - 29. Let k(m) = 5*r(m) + s(m). What is k(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*d + 41. Suppose d*v = 2*v + 80. What is the remainder when 31 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*v**2 - 3*v**4 - v + 37*v**3 - 2*v**4 + 10*v + 11*v**4 - 12*v**4 = 0. What is v?\nAnswer: 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -2264?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 5*u + 4*u + 2*u**3 + u in the form n*u + w*u**3 + a*u**2 + v and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttjtjt. What is prob of sequence tjj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 14082.\nAnswer: -5\/14082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15138\/7 - -2163. Which is the nearest to -0.04? (a) -4 (b) k (c) 1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39028479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1. Let u(c) = -2*c**2 + 3*c + 3. Let p(z) = -3*j(z) - u(z). Let g(q) = -q**2 + q. Let h(y) = -3*g(y) - p(y). Let t(x) = -11*x**2. Determine h(t(w)).\nAnswer: 121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578245457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 5*i**2 - 2*i - 3. Let t(n) = -4*n**3 - 9*n**2 + 3*n + 5. Calculate 3*t(z) + 5*w(z).\nAnswer: -2*z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 0)*(2*w**2 + 3*w - 3*w) + (-453 + 702 - 397)*(w**2 + w**2 + 0*w**2) to q*w + b + r*w**2 and give r.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676 is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r*t**2*u**2 - 22*r*t**2 - r*t*u - 5*r*u**2 + 53*t**2*u - 126*t**2 - 2*t*u**2 - 90157*u wrt t.\nAnswer: 4*r*u**2 - 44*r + 106*u - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 54 = -h. Let a = -70 - -104. Calculate the remainder when a is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -2\/17 (b) -2 (c) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/50 and -79\/270.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.75 - 0.25. What is the biggest value in -4, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -30. Let x(f) = f**2 + 10*f + 9. Let v be (-3)\/6*(16 + 2). Let b be x(v). Sort b, o, -3 in increasing order.\nAnswer: o, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -4dadb?\nAnswer: -4dae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (9 - 5)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*g - 2021, 0 = i - 4*i - 15. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340397957.\nAnswer: 340397957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((52\/(-936))\/((-40)\/54))\/((-1)\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590256 divided by 196752.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3827 and 59081048?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = 2*p - 3*o, -o - 289 = -p + 15. What is the greatest common factor of p and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -19*z**3 - 44*z**2 - 40*z + 5. Let m(l) = -22*l**3 - 44*l**2 - 40*l + 6. Let t(j) = 6*f(j) - 5*m(j). Factor t(c).\nAnswer: -4*c*(c + 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1614784205*f**2 + 9165210*f + 13005.\nAnswer: 5*(17971*f + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 7*y**2 + 3*y**2)*(y**2 - 1 + 1) - y**2 + y**2 + 2*y**4 + (-y + 0*y + 2*y)*(-9*y**3 + 23*y - 23*y).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 22 = -u - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000909684 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.12 (b) -9\/4 (c) 3 (d) 215\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*0 - 0. Suppose 0 = 4*x - 2*t - 318, 7*x - 2*x + 4*t - 417 = f. Let w = -57 + x. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 160 = -40. Suppose -3*a + 4*p - 1 - 3 = 0, 5*a + 5*p + d = 0. Sort 4, a, -3 in descending order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*x - 3234*x**6 + 78*x**2 + 490*x**6 - 71*x**2 wrt x.\nAnswer: -329280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1234 + -2465\/2. Which is the second smallest value? (a) -4 (b) i (c) -2\/5 (d) -1898\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -444119418 - -0.4.\nAnswer: -444119417.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33846 is divided by 16903?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1439 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26313.1 and 366309?\nAnswer: 392622.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3226*q**6 + 38*q**2 + 5*q wrt q.\nAnswer: 387120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -122101 (base 4) to base 15\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 19, 41, 67?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12256 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68273, 136545, 204817, 273089, 341361, 409633?\n\"Answer: 68272*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let i = n - 1. Let w be 90\/(-324)*(-3)\/5. Which is the nearest to 0.2? (a) w (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 55614433.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28 - (-3)\/(3\/2). Which is bigger: p or -30?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 140 = -40*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/6 + 3\/(-9). Let t be 123\/(-12) - 3\/f. Let w be t\/(-2) - 6\/4. Solve -2*c - 2 = r, 0*r = -w*c + r - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 16 + 10. Let a = d + -40\/3. Let o = 151 - 1357\/9. What is the closest to a in -0.3, 2, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 7. Let y be -5 + -47 + (4 - 1). Let h = y + 49. Give r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/171 - (384\/(-480))\/(6\/5)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ingiqivgiqigqgvi. Give prob of sequence gg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = n + 49, 3*a - 3*n = 50 - 2. Let h be a + (-2 - (-1 - 1)). Let j be h\/(-22) + 7\/30. Is -1 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154490329, -154490331, -154490333, -154490335, -154490337?\nAnswer: -154490339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.953 take away -0.0421?\nAnswer: -20.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 187, 0, 4, -2, 14.\nAnswer: -3, -2, 0, 4, 14, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6268.46908 to the nearest ten.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 8844*x**2 - 8999*x**2 + 10.\nAnswer: -155*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(-h + 2*h + h)*(-3 + h - 2*h + 1) - 2*h**2 + h**2 + 2*h**2.\nAnswer: 5*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/3)\/n)\/n*n**26 assuming n is positive.\nAnswer: n**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 5*h - 80. Let t be m(-7). Sort -4, -3, 0, 238, t in descending order.\nAnswer: 238, t, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -19. Suppose 3*w - 10 - 36 = 2*a, 0 = w - 2*a - b. What is the greatest common divisor of 48 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1\/3)*j)*j)\/j)**43)**(-3\/2)*((j**(-2\/5))**4)**(-28) assuming j is positive.\nAnswer: j**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + w = 2*b - 75, 2*w + 15 = b. Let c be (6\/b)\/((-1)\/5). Does 20 divide ((-60)\/c)\/(24\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5119.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 113578*s + 8871252 = 0. Calculate s.\nAnswer: -56867, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 18*o**2 + 182*o - 81. Calculate the remainder when 234 is divided by x(25).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 0, 3 = -3*a + 91*u - 90*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:54 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 45. Let n(w) = -w**2 - 8*w - 5. What is the remainder when y is divided by n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4717)\/18868*656\/(-10)\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1853, 3706, 5559, 7412?\nAnswer: 9265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.4 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8643 and -131\/402.\nAnswer: 17286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)\/y)\/((y*y**(-3\/4)*y*y)\/y) assuming y is positive.\nAnswer: y**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.1. Suppose 0 = 2*k - 2*j + 16, 2*k + 2 = 3*j - 15. Let v = 36\/5 + k. Which is the closest to -0.1? (a) r (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - 2.8. Which is the closest to 5? (a) n (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -225, -273, -321?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423*n**2 - n + 372 wrt n.\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.3 (c) -1\/4 (d) 58310 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -2\/11, 0.49 in decreasing order.\nAnswer: 3, 0.49, -2\/11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481 - 480.6. Let k = 3.1 - -1.9. Which is the closest to 3? (a) h (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 8. Let a be k(10). Let l = 0.1 + -0.1. Let i = 1 - l. Put i, a, 0.4 in decreasing order.\nAnswer: a, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from szaaazaffajffz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10278 and 216.\nAnswer: 123336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 10. Let u be l(12). Suppose 3*q + u*d = -0*d + 8, 2*d + 4 = 3*q. Solve 0 = 4*j + j - 4*s - 3, -q*s - 6 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 - 0.75. Sort j, 0.3, 5 in descending order.\nAnswer: 5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.43 - -63.4303353. Round d to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 + 6288*c**4 + 62624*c**3 + 225144*c**2 + 337500*c + 168696 = 0.\nAnswer: -1562, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u = 32*u + 540. Is 30 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1089 - -1084. Put 15, a, 5 in ascending order.\nAnswer: a, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-13340)\/15 - 2\/(-3). Suppose -6*r - k + 1773 = -4*r, r = -k + f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 173 + -65 + 115 + -123.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-12))\/(1\/(-6)). Let f be (70\/(-40))\/((-1)\/16). Calculate the greatest common divisor of b and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2. Let m be u(0). Let x = 2.1 + -0.1. Let t = x - 1.9. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 v when three letters picked without replacement from vvqqqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/51 or -1\/23?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*o + 1311 + 398, 5*s - o = 2857. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-9 - -7) + -1 + 0 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 648034.\nAnswer: -1\/324017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.19, 3\/8, 0 in descending order.\nAnswer: 1, 3\/8, 0.19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-3)\/(-4)). Suppose 3*l - j = 61. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/50 and -21\/2635?\nAnswer: 26350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (267 - 228) + (-34 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 (base 16) in base 8?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:11 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/49))\/(p*(p*p\/p**(-9\/4))\/p) assuming p is positive.\nAnswer: p**(-629\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912857872 to the power of 1\/2, to the nearest integer?\nAnswer: 43736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15710069\/2565 + 91874\/15. What is the common denominator of q and 73\/456?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -44232 - -44242. What is the nearest to 8 in r, 3\/10, -0.3, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/21)\/(-4))\/(77\/3696)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5 - 6268287*d**4 - 106*d + 559434.\nAnswer: 60*d**3 - 75219444*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 455*o**2.\nAnswer: -5*o**2*(o + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.758 - -30.758. Let z = -17 + 18. Which is the nearest to m? (a) -3 (b) -1\/6 (c) z (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 2*z**2 + 0*z)*(31 + 50 - 15) to c + k*z + t*z**2 and give t.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 162 - 154 = 0. Let f(t) = 13*t**2 + 48*t. Let c(b) = -51*b**2 - 191*b. Let z(x) = n*c(x) + 9*f(x). What is the second derivative of z(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - f - 26, 4*n - 5*f = -7 + 4. Suppose -b + 7 + 5 = -4*p, 3*p - 8 = 5*b. Let g = b - n. Solve -g*d + 3 = 3*i, 0 = -2*i - 0*i - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16*i**3 + i**2 + i. Let t be p(-1). Let u = t + 38. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911980.7 micrograms to tonnes.\nAnswer: 0.0000009119807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14.231 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.7*-48031.\nAnswer: -1090303.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -60. Let u = 31 - s. Solve u = 2*l - 4*b - 20, 4*l + 2*b + 3 = -7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*f**2 + 36*f**2 - 85*f**2 + 352*f**2 - 2*f**3 + 712*f**2.\nAnswer: -2*f**3 + 1109*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9343.088 tonnes to grams.\nAnswer: 9343088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1573681 or 15736803\/10?\nAnswer: 1573681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 79.1. Sort u, 1\/2, 0.2, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, 63, 86, 129, 198, 299, 438, 621?\n\"Answer: o**3 + o**2 - o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8580 and -19\/3432.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/7*w**2 + 4\/7 - 8\/7*w - 1\/7*w**3 = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c**2 + 704*c + 2849. Calculate j(-4).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229*k + 56886 + 3335 = 0 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 48*j**3 - 6*j**2 + 6*j. Let g(d) = -146*d**3 + 20*d**2 - 19*d. Calculate -3*g(h) - 10*y(h).\nAnswer: -42*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356 - -508. Suppose -8*i + o = -128. Let b = -30 + i. Calculate the remainder when 12 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5332 rounded to two decimal places?\nAnswer: -6.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, i: 8, e: 2, z: 1}. What is prob of sequence uezi?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/65 (b) -4\/3 (c) 2 (d) 0.1 (e) -4.9 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -1 + (-8 - -7). Suppose 45 = -2*r + 5*r - 5*l, 5*l + 25 = r. Let t be ((-9)\/(45\/r))\/(-4). Which is the nearest to -4? (a) t (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6506, 5, -1\/3 in descending order.\nAnswer: 5, -1\/3, -6506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351 + 119 - 26*a + 114 + 118.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1626 - 1131. Calculate the least common multiple of r and 550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*q - 20 - 208 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/9 and 5 + (-2 + 2 - 3\/(-8)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 4*t - 124, 0 = -2*o + 12*t - 8*t - 108 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13770 and 0.080547.\nAnswer: 13770.080547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022000101021 + 1?\nAnswer: 12022000101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 238 - 799 = -a, 0 = 4*u - 20. Suppose -m + 5 = 0, 5*g - 3*m + 853 = -a. Let x = g + 559. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -57 - (0\/2)\/2. Let o = w + 229\/4. What is the closest to o in -0.4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/60 - f**4\/4 + 2*f**3 + 640*f**2. Give i(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - d - 2*d)*(-6 + 2 + 3) + d + 5*d - 5*d + 0*d + 4*d - 2*d)*(2*d**2 + 5 - 5) - 5*d**2 + 5*d**2 + 2*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 39*p - 5*p - 31 - 6*p**2 - 10*p + 5*p**2 - 23. Let k = -29 + 43. List the prime factors of q(k).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 30. Suppose v = 6*v - k. Suppose 0 = n - 5, -2*m - v*n - 30 = -7*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g + 5. Let l(d) = 2*d**3 - 8*d + 8. Determine -5*l(u) + 8*x(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14127077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/50409 - -157175171\/655317. Let b = n + -240. Suppose 4*f = 4*x - 32, 2*x - 1 = -f - 0. What is the second smallest value in b, -1, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.004, 6, 1\/137 in decreasing order.\nAnswer: 6, 1\/137, -0.004, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 23. What is the closest to -2\/7 in -3\/4, c, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))\/((m**(-11\/2)*m)\/m)*(m*m**(2\/15))\/(m**(-1\/6)\/m*m) assuming m is positive.\nAnswer: m**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - 20. Let t = 71 + j. Suppose t - 3 = x. Round x to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34378.\nAnswer: 2, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 + 120. Let j be (-5 - -3) + 35\/15. Which is the fourth biggest value? (a) j (b) z (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:50 PM?\nAnswer: 565","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 406 = 5*d + 2*l, -4*d = 4*l - 400. Let c = d + -48. Suppose 0 = -q + 5*q - 44. What is the remainder when c is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 154, 159, 174, 205, 258, 339?\n\"Answer: r**3 - r**2 + r + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -27 + 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 39. Suppose 2*o - 3*g - 19 = 0, 0 = -3*o - 2*g - 3*g - m. Calculate the lowest common multiple of -1*(-14 + 2)*(-14)\/(-28) and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 + 60*n + 75. Let o be u(30). Let r be ((-2)\/5)\/((-15)\/o). Calculate the highest common factor of r and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -510, -2\/13, 3?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbbjjbbjjbj. What is prob of sequence jjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 5*q**3 - 401*q + 347*q - 6*q**3 - 9*q**3 to g*q**2 + j + t*q**3 + x*q and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 96\/40*45\/27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25082, 49994, 74906, 99818, 124730?\nAnswer: 149642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/5 - 127160*p**2 + 50551179866*p\/5 - 3333608901348\/5 = 0.\nAnswer: 66, 158917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + b - 5*b)*(-145 + 29 - 196)*(0 + 0 - 10) to the form p*b + d and give p.\nAnswer: -3120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4\/(-5))*10. Let x be (65\/20)\/(2\/q). Suppose -2*t + x + 21 = 0. What is the remainder when 32 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - 12\/(-20). Let x(g) = -g**2 + g. Let a(z) = z**2 + z - 1. Calculate l*x(c) - a(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230612.4 times 4?\nAnswer: 12922449.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927491 is divided by 1333.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 317864\/125 - 2543. Let t = 1251\/11375 + z. Let h = -192\/455 + t. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 - 23 + w**3 - w + 45 - 22 to r*w**3 + a + g*w**2 + o*w and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) - -3*sqrt(76)))\/(sqrt(64)*-1) + (sqrt(228) + sqrt(228) + sqrt(228) + -2*sqrt(228)*3)\/((sqrt(60)\/sqrt(5)*4 - sqrt(12)) + sqrt(12)).\nAnswer: -23*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 37*q - 15 - 2 + 33 in the form u*q + j and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011 + -1000111100110001011?\nAnswer: -1000111101000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(6 + 1160\/(-193)). Let a(k) = -24*k. Let l be a(2). Let b = l + p. What is the second smallest value in 1, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 4*t + 132, -5*t - 100 = -4*q. Let a = q + -9. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -38. Which is the nearest to 2\/7? (a) z (b) 2\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 272580144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p + 5. Let z be c(0). Suppose -19 = -2*j - 5*n + 42, n - 95 = -z*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 16 - 18 - 20*b + 19*b. Let p be -6 - (0 - (3 + -1)). Determine y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 1, -1, 15, 55, 125?\n\"Answer: j**3 - 21*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 + -1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)*g**(-1\/8)\/g*((g\/(((g**(2\/5)\/g*g)\/g*g)\/g))\/g*g)**(2\/23) assuming g is positive.\nAnswer: g**(-15627\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639 divided by 5?\nAnswer: 2639\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -36.999899. Round a to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 3*o**2 - 3*o**2)*(-6 + 36 + 6 + 25).\nAnswer: -122*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79069.5 rounded to the nearest 100?\nAnswer: -79100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241 - -3?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4 = 8. Let g = 8 + f. What is the remainder when 38 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 386*f**2 + 5*f + 21*f + 12 - 11.\nAnswer: 386*f**2 + 17*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 > -82662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0.3, 0.14, 0.1, -1.\nAnswer: -25, -1, 0.1, 0.14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 77771.\nAnswer: -7777.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 8, d = g - 3*g - 4. Suppose -4*r - 220 + 268 = g. Solve -r - 16 = 7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 10*s**2 - 17*s + 13. Let p(j) = -j**3 - 21*j**2 - 2*j - 34. Let q be p(-21). Does 4 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.45, -5, -1\/4 in decreasing order.\nAnswer: -1\/4, -1.45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/((-6)\/(-2)))\/(-1). Suppose -4 = g - 2*g - i*p, 4*g = p + 58. What is the greatest common divisor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1)\/(-3)*-21. Suppose -1 = v + c. Calculate the remainder when 4\/((-2)\/v + 0) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -25, -52, -77?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -93.4. Which is the closest to -0.1? (a) -4 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*d - d**3 + 2*d**3 + 2*d**2 - 376*d + 2 + 190*d to the form a + q*d + o*d**3 + u*d**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -30 (b) 12 (c) 10\/1767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.74 - 27. Let l = d - -0.06. Put 0, -1\/6, l in descending order.\nAnswer: 0, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 2682487607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.24 (b) 10657 (c) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -45*m - 2. Let l be b(-2). Let f be -28 + 24 + 462\/5. Let z = l - f. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 14 - -62) + 84?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r - 51 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*c + 20, 23 = c + c + 3*a. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 + 18*k**3 - 10226*k**2 - 224826*k - 582120 = 0. What is k?\nAnswer: -63, -20, -3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 11*w + 7. Calculate b(13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = -54. Let f = g - -31. Suppose 3*w - f = 32. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*u, 3*i - 2*u = 961. Let h = i - 166. Let l = 331 - h. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 644, 643, 642, 641, 640?\n\"Answer: -d + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 486*g\/5 - 19683\/5.\nAnswer: -3*(g + 81)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-963)\/428)\/((-10)\/16). Let k(y) be the first derivative of 0*y**2 - p*y**5 + 6*y - 2 + 0*y**3 + 0*y**4. Find the first derivative of k(c) wrt c.\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2076*o + 18603. Calculate p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352.82255 + 510.82322. Let p = -158 + g. What is p rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 0. Let l(o) = o**2 - 1 + 2*o**2 + 4*o**2 + 10*o**u + 2*o. What is the units digit of l(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.10317 - -1.1854. Round o to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + -0.3. Let x = y - -2.4. Let g = x + -0.7. Sort -2, g, -3.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v**2 + v)*(-2 + 4 + 0)*(-16*v + 20*v - 8*v - 3).\nAnswer: -8*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -68280*y**2 + 2*y. Let d(w) = -8*w**2. Give p(d(v)).\nAnswer: -4369920*v**4 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 1245*j**2 + 128544*j + 129792 = 0. Calculate j.\nAnswer: -1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 + 1784*d\/7 - 1788\/7.\nAnswer: 4*(d - 1)*(d + 447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 3:25 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {y: 10, m: 4, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a week in hours?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x + 4. Let r be j(0). Which is the fourth biggest value? (a) -1\/3 (b) 2\/7 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.404 less than -5?\nAnswer: -2.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Suppose 3*t + 3 = 0, p = -5*z - t + 4*t + 533. Suppose 0 = -5*q + 4*m + z, -q - m + 3*m + 26 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*m*w - 2*j*m - 69241*j - 1660205*m*w**2 + 2*m + 1 with respect to w.\nAnswer: 3*j*m - 3320410*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*w - 113 - 12, 5*w = -3*c + 115. Calculate the highest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16342\/5 + -3263. Which is the nearest to q? (a) 0.2 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**3 - 12*l**2 + l + 13. Let p be 2*1\/(6\/(-4) + 2). Is b(p) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319845 is divided by 159911.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 + -1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5561532 (base 7) to base 11\nAnswer: -42a416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094944 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565980 is divided by 94254?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 7423.\nAnswer: 3, 7, 7423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -997.9 + 998. Which is the nearest to 2? (a) 1 (b) -11\/5 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 20. Suppose 9 = -u + c + 3*c, 6 = 4*u - t*c. Let s = -188 + 952\/5. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-78)\/28899*19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -0.044, 0.9, -2 in increasing order.\nAnswer: -2, -0.044, 0.9, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001507883 rounded to 7 decimal places?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 6*i - 2. Let l be o(-3). Let m be (2 - 7)\/(1\/l). Let k = -13 - m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 + -564. Let u = -232 - t. Suppose -4*v = -6*v + u. What is the highest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 11. Let y = v + 4. Let w = 7 + y. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*u**3*z - u**3 + 4690*u**2*z - 2*u**2 - 815192*u - z wrt u.\nAnswer: 258*u*z - 6*u + 9380*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204507184 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from {w: 2, d: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 3 + 0 + -7. Let a be l\/(-11) - (-112)\/11. What is the highest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47497*v + 1 + 38*v**2 + 47497*v.\nAnswer: 38*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2860*j**2*n*r**3 + 4*j**2*n*r**2 + 11*j**2*r**3 - 152*j*n*r**2 - 109*n*r wrt r?\nAnswer: -17160*j**2*n + 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -22*o**2 - 1\/30*o**6 - 1\/6*o**4 + 2 + 7\/20*o**5 - 11*o + 0*o**3. Find the third derivative of g(n) wrt n.\nAnswer: -24*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 34*u**2. Let q(n) = 32*n**2. Determine q(y(v)).\nAnswer: 36992*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 83 = -12. Solve 0 = -0*j + v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16 + 972*y - 11*y**2 - 1930*y + 966*y. Let z(w) = -w**2 + w + 2. Let n(p) = -3*q(p) + 24*z(p). Let g(f) = -5*f**2. Calculate g(n(s)).\nAnswer: -405*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -50. Let c(v) = v**2 - v + 22. Is c(r) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4238 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852784 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1881*n - 1882*n = -27. Solve n = 4*l + 39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 11*u**5 + 95*u**2?\nAnswer: 240*u**3 - 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 498688 less than 19448879\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080 divided by 272?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120440*f - 38912 = 119416*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/60 - 5*g**4\/24 + g**3\/2 + 14*g**2. Let f be b(5). Solve f + 17 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - 395?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1647 and 669.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53898191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 3. Let t(n) = 5*n - 6. Let w be t(4). Let q(m) = 13*m + 10. Let r(j) = 2*j + 4. Let s(i) = -q(i) + 5*r(i). Give w*y(f) - 4*s(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 208, -5, -0.13?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 564 (base 13) to base 5\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -211821989 divided by 1447\nAnswer: -146387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from uubbbbbbbbbbubbbbbbb?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.07, 0.1, 3\/2, 2\/9, -7, 8\/123, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69874 by 8.\nAnswer: -34937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 59 = 3*p - 3*c, -4*p = c - 75. Find the third derivative of p*l**6 + 2910*l - 8*l**2 - 2914*l + 7*l**6 wrt l.\nAnswer: 3120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 40. Let k = -9 + s. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1355, -1360, -1367, -1376, -1387, -1400?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -3*d**5\/20 + 3*d**2. Let b(k) = 2*k + 6. Let s(w) = 2*w + 3. Let y(v) = 2*b(v) - 4*s(v). What is y(x(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365 and 1241.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1231 times -84.5\nAnswer: 104019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/72 and -163\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 13*t + 33. What is g(-10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 12*i + 2. What is the tens digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*c + 9 = 0, 0 = 4*z - 9*z + 4*c + 165. Suppose 5*h + 644 = -3*a, -109 - z = h - 4*a. Round h to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2062750, -2062792, -2062834, -2062876, -2062918, -2062960?\nAnswer: -2063002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -365.6 + 367.6. Let c(w) = 2*w - 1. Let g be c(1). What is the closest to g in -0.9, p, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315 + 315. Let o(t) = -t**3 - t**2. Let i be o(-2). Solve 3*y = -y, -3*k - i*y - 3 = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/3 + 4114*x**2\/3 + 16480*x\/3 + 5496 = 0.\nAnswer: -2, 2061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**3 + 9*p**3 - 23*p**3.\nAnswer: -70*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4343 and 47672.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*d + 190*d + 758 = -1147 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l - 3*b - 8, 0 = 4*b + 4. Let n = -3 + l. Suppose -n*z - 5*s - 17 = 0, 1 = 4*z + 2*s + s. Solve 2*t + 2 = 2*k - z*k, -3*t - 11 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 5. Let q be y(5). Let b = 9 + q. Differentiate -2*v + 4*v - 2 + b with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 840*c**3 + 9738*c**2 - 22004*c + 11424 = 0. What is c?\nAnswer: -408, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 4.2, -14, 2, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-4))\/(-3) + 3. Suppose z - m*z = -y - 5, 2*y = 3*z - 10. Let u = 0.36 + 0.74. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1)*j)\/j*j*j**0)**(-37))**10 assuming j is positive.\nAnswer: j**(-370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.7 + -75. Let g = -13 - j. Sort 1, 4, g.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82233*n + 56658.\nAnswer: -82233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/30 - 4\/10. Let h = -53.7 - -47. Let b = -1.7 - h. What is the closest to -0.8 in i, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -830 + 1541. Let t(i) = 55*i**2 - 62*i - 5. Let a be t(8). Suppose o = 10*q - a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12) + (sqrt(12) - (sqrt(12) - 1*sqrt(12)))\/sqrt(4))**2 + (-5 + (sqrt(27) - sqrt(432)))**2.\nAnswer: 90*sqrt(3) + 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003575 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6*p = -27, 4*n = 2*p - 27 + 47 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {a: 5, f: 4, v: 5}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11380 (base 12) to base 7\nAnswer: 124014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8277*t**2 + 120*t - 64*t - 56*t + 1801*t**2 as x*t + h + b*t**2 and give b.\nAnswer: -6476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.967 + -0.033. Let l = -33 - -28. Put -1, 1, l, a in descending order.\nAnswer: 1, -1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12273811 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*h - 80*h - 3*j = -82, -h + 2*j + 19 = 0. Calculate the remainder when 183 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**7\/40 + 89*s**6\/120 - 13*s**5\/20 - s**3 + 5*s**2\/2 + 54*s. Let i(q) be the second derivative of b(q). Factor i(k).\nAnswer: 3*k*(k + 13)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 1. Suppose d = n*d - 22. Calculate the lowest common multiple of d and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.1 (c) 19 (d) 2\/37 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135830086, -271660170, -407490254, -543320338, -679150422?\nAnswer: -814980506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 - 204. What is the remainder when 42 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-55)\/1)\/(-5))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 37. Calculate the remainder when 42 is divided by k(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3 = -q + 4*q, 15 = -5*a. Suppose 0 = 5*w - 44 + 14. Suppose -2*r - w = -5*r. Let t(k) = k**3 + 3. Let m(x) = 2*x**3 + 4. What is q*t(b) + r*m(b)?\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/40 - 2*k**3\/3 - 4*k**2. Differentiate s(h) with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*a = -8, -25*a = -30*a + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -5\/6*y**4 + 13*y + 0 + 13\/2*y**2 - 7\/6*y**3 - 1\/20*y**5. Suppose -2*x - 2*x + c = 41, 2*x - 5*c = -43. Determine s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2485 = 39*g - 1571. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3242 - -3332. What is the remainder when 348 is divided by c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084514 is divided by 9189?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/9 + 149330*r\/9 - 18572500\/3 = 0. What is r?\nAnswer: 375, 74290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409966, 1639883, 3689750, 6559567?\nAnswer: 10249334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 220 = 3*c. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52581 is divided by 8710.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let a(k) = -3*k - 5. Let i(n) = a(n) - 2*w(n). Let v(x) = -x**3 - 5*x**2 + 52*x + 16. Let q be v(-10). Determine i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263425?\nAnswer: 5, 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 26855037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 14*b**2 + 50*b + 15. Find the common denominator of i(-3) and 4\/42*6\/(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15286 - 15281. Which is the fourth biggest value? (a) 2\/5 (b) t (c) -0.1 (d) 4\/9 (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/3 - 492232*l**3 + 30021024*l**2 + 184556248*l\/3 + 31005492 = 0. What is l?\nAnswer: -1, 63, 369113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398187, -796084, -1193981?\nAnswer: -1591878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222046 - -725?\nAnswer: 222773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 181346, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(4*o**3 + 18*o - 18*o).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428000 by 13600.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) 93 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17831157613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610619.\nAnswer: 610619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.123688391 + 23.876310759. Let o = -33.52 + 8.52. Let b = o + n. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let a(o) be the second derivative of 5*o**3\/6 - 3*o**2\/2 + 3*o. Let j be a(t). Calculate the greatest common divisor of j and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 at least as big as 505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 340511.77742 to the nearest one hundred.\nAnswer: 340500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 533*b**3 + 407*b**3 + 63*b**2 - 1157*b**3. Let u(q) = -7*q**3 + 2*q**2. Give 2*o(k) - 63*u(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -202*b - 18. Determine l(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -537568*i**2. Let c(v) = 2*v. Determine c(a(q)).\nAnswer: -1075136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 (base 7) in base 5?\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*l + 2)*(-2 + 167*l - 132*l - 3)*(0 + 0 - 2*l).\nAnswer: -210*l**3 + 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*y + 20, 0*y + 3*y + 11 = 5*f. Suppose 5*k - 28 = 4*m + k, -f*k + 8 = -2*m. Let d = 38 - m. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 922 and 37?\nAnswer: 34114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74733 and 6501771?\nAnswer: 6501771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 785483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + -7 - 10) + -5 + 31 + -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) 9\/5 (c) -3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 6209610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-15)*10\/(-14). Let w be 1 + (-2 - (-10 + 3)). Which is the second smallest value? (a) -0.5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2075*n - 7089*n**2 + 594*n + 7090*n**2 to the form v*n**2 + w + r*n and give r.\nAnswer: -1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31a (base 15) in base 7?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -21.04. Let w = p + 3.04. Which is the second biggest value? (a) 1 (b) -12 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712 = 173*j + 192*j - 1938 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g**3\/3 - g**2\/2 + g. Let q = -25 - -23. Let a be y(q). Is a < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 146*b - 2159. Determine f(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980675*p + 490339*p - 27*p**3 + 490333*p.\nAnswer: -27*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.935 - 102.255. Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3058439.97 rounded to the nearest 1000?\nAnswer: -3058000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(24\/(-180)). Solve -2*c - f*p - 17 = 0, -5 = -0*c + 5*c + 5*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(sqrt(405) + sqrt(405)*2 + sqrt(405))*5 - (sqrt(405) + 1)*6*-2))**2.\nAnswer: 18144*sqrt(5) + 5080401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 5284*y**2 + 3115202*y + 507875016.\nAnswer: 2*(y - 1387)**2*(y + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.152, 1\/2, 3, -173?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3395997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**3 - 1692 + 15*u**2 - 2763 + 1412 - 2947 - 4*u**4 + 824 wrt u.\nAnswer: -16*u**3 + 6*u**2 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125539 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 118434 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 29*d**5\/60 - 17*d**2. Let t(h) = h. Determine u(t(v)).\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43611 (base 9) in base 15?\nAnswer: 8887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (-2 + sqrt(1573) - sqrt(1573)) + (sqrt(1573)*-2 - sqrt(1573))*6 + 4)*6)**2.\nAnswer: -456192*sqrt(13) + 293561856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13283 - -13282.7. Which is the fourth biggest value? (a) s (b) -0.4 (c) 2\/7 (d) -1591\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11048, 28201, 45354, 62507?\nAnswer: 79660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162\/665 - 4\/95. Let y = -4 - -3. Which is the nearest to 0? (a) x (b) y (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 20 - 16 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 486, 822, 1548, 2802, 4722, 7446, 11112?\n\"Answer: 23*q**3 + 57*q**2 + 4*q + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:52 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(48)\/sqrt(4)*2 - sqrt(12)))\/(-5*(sqrt(6) + (5*sqrt(216) - sqrt(6)))))**2.\nAnswer: 1\/11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (21 - -3) - -1*9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 28\/16)*((-2)\/(-2) + -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*d = 319, i + 4*d = -0*d - 111. Let t = i - -209. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61255470, 122510943, 183766416, 245021889?\n\"Answer: 61255473*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 - 4*c\/3 + 5\/3 = 0 for c.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - (41 + -57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**3 + 3*l**2 + 7*l - 15. Does 4 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 40 = 4*v + 19, 3*k + 15 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -45. Let v be (-411)\/4 + (-4)\/o. Let k = -71 - v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*k - 339 = -1155 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2*j)\/(j*j**(-9)))**(17\/4) assuming j is positive.\nAnswer: j**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54327, -217340, -489033, -869406, -1358459, -1956192?\nAnswer: -2662605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*t**5 - 1960*t**4 - 5895*t**3 - 8080*t**2 - 5115*t - 1210 = 0. Calculate t.\nAnswer: -11\/4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + 1 - (-20 - -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308723325 to the nearest integer?\nAnswer: 17571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + (-51)\/(-15). Suppose -x*d + 4*a = -2*d - 183, -3*d + a + 604 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 8 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/56)\/(72\/(-96)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 49510496*m**2 + 153205476864336*m + 612822699625536.\nAnswer: 4*(m - 6188814)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2 + 2)*(174 - 125 + 330)*(-2 + 2 - 1) as q*a + t and give q.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 e when four letters picked without replacement from uueuuuuubbueuu?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12125, -12126, -12127, -12128?\n\"Answer: -n - 12124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -424*o**3 + 1196*o**3 - 462*o**3 + (-2*o - 3*o + 3*o)*(14 - 14 + 8*o**2).\nAnswer: 294*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 53954\/(-2703))*(-2 - 1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/12 and -145\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let f be (-1)\/((-27)\/(-15) + u). Let l(d) = d**2 - 12*d + 4. Let n(j) = j**2 - 11*j + 4. Let v(a) = 6*l(a) - 7*n(a). Determine v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 42 = 5*y - 12, 3*y + 5*d = -30. Let i(b) = 3*b + 40. What is i(y)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 23282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*3*4\/6. Let g(h) = -h**2 + h - 1. Let b(q) = -q**2 + 4*q - 6. Calculate f*b(r) + 4*g(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10003 divided by -1\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 17 = 4*n, -45*j = -5*n + 49*j - 97*j + 37 + 1 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-27)*51\/68?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196, 1742, 2644, 3896, 5492, 7426, 9692?\nAnswer: 12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w**3 + 4*w**3)*(2 + 2 - 2) + w**3 + w**3 + 0*w**3 - w**3 + w**3 - 2*w**3 + (2*w**2 - 3 + 3)*(4*w + 3*w - 6*w) + 2*w**3 + w**3 - 2*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 20973883\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1487944km?\nAnswer: 148794.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -25. Let d = f - -63\/4. What is the closest to d in 0.1, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let g(p) = -12*p**2 - 11363355*p. Determine g(t(y)).\nAnswer: -48*y**4 + 22726710*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 0*c**2 - c**2 - 1 + 4*c - 2*c. Let g(n) = n**3 + 4*n**2 - 4*n + 5. What is -g(m) - 5*r(m)?\nAnswer: -m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*n - 2 = h, -3*h = 5*n. Let m(v) = 5*v + 1. Suppose -q + 3*s = q - 7, -2*q + 2*s + 4 = 0. Let o be m(q). Sort -2, o, h in descending order.\nAnswer: h, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*((-35)\/(-21) - -12). Suppose 4*k - 4*o = 156, -2*k + 76 = -0*k - 3*o. Calculate the highest common divisor of v and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*u**4 + 0*u**4 + 3*u**4 - u**4 + (0 + 2*u**3 + 0)*(u + u + u) + (-5*u + 5*u + u**4)*(-2 - 1 + 5).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c5 - -4?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1066, -1, 4, 5, -4 in increasing order.\nAnswer: -1066, -4, -1, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60702 - -60701.9. Let v = -0.6 - -0.12. Which is the closest to v? (a) -0.2 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 = -l, -l + 4 = l. Solve 5*a = z*g, 3*a + g - 4*g = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 7. Let w(c) = -c**3 - 11*c**2 - 10*c - 13. Let k be w(-10). Let p(i) = 4*i - 15. Calculate k*x(r) - 6*p(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, -558, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -216747, -216748, -216749, -216750, -216751, -216752?\n\"Answer: -l - 216746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/51*(-84)\/56*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v + 1\/15*v**5 + 5\/6*v**4 + 0 + 8\/3*v**3 - 4*v**2. Factor n(w).\nAnswer: 4*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 9*p**4 - 4260*p**3 + 22509*p**2 - 21006*p - 25272 = 0.\nAnswer: -2\/3, 3, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 + m + 2. Let t be k(8). Suppose -2*c = -7*c - 2*d + t, 4*d = c - 2. Solve 4 = 2*z - c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)\/(-2) + (5 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.05, 343, 0.39, -1, 2 in descending order.\nAnswer: 343, 2, 2\/5, 0.39, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3, 7*y = 2*r + 9*y - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -79 (b) 5 (c) 2 (d) -0.1 (e) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118492, -236982, -355472, -473962?\n\"Answer: -118490*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109352 = 341*i - 6980161 - 3744709. Does 47 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -32) + 72 + -52?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*b = -5*g, -4*b = -2*g. Suppose 0 = 2*p + 5*m + 11, -3*p + 2*p = -2*m - 8. Suppose g*y - 4 = -p*y. What is the greatest common factor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 - 330. List the prime factors of v*(-15)\/20 - -59.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 + 5*u**2 + 7*u**3 - 8*u**2 + 4*u**2 + u**2.\nAnswer: 7*u**3 + 2*u**2 + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.33071 (b) 7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.657 and 2440.\nAnswer: -4043.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**2 + c - 481*c**3 - 39*c**2 + 72*c**2 + 9*c**3.\nAnswer: -472*c**3 + c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56019*t**5*v - t**5 - 1302*t**2*v - 2*t**2 - 2*t*v - t + 57*v wrt t.\nAnswer: -3361140*t**2*v - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 189?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1574544 (base 8) to base 9.\nAnswer: -765864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 1524 = -113*t - t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2418 and 143?\nAnswer: 26598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.74215 decades in centuries?\nAnswer: 3.574215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*s - 1, -4*s - 54 = 4*v - 38. Let b(f) = 4*f - 4*f - 4*f. Let a(q) = -q. Determine v*b(h) - 8*a(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.1. Let u = -8 - -8.2. Let w(x) = -x + 2. Let k be w(0). What is the closest to c in u, 0.3, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(30\/44)*3. Suppose 4*y + 3*o + z = 71, -2*o = 2*y - 26. Is 764\/10 - (-6)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-2250))\/(22\/33).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36346839*j**3 - 36346815*j**3 + 72693655*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27101 + -27099. Suppose -7 + 1 = -2*d. Suppose -d*i + 7*i = 20. Solve 2*s + i = 5*y, -q*s + 3 = -y - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 3864168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 97 - 13)*(i - 21 + i + 33).\nAnswer: 236*i + 1416","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-2)*50\/(-30). Let m = h - -34. Suppose 16*o - m*o = 90. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 14\/8. Let t = -5 + 3. Let m = -0.13 - 0.87. Which is the closest to m? (a) z (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 + 585*m**3 - 22080*m**2 + 264500*m = 0. What is m?\nAnswer: 0, 25, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 112 = 36. Let m = -68 - n. Let j = m + -77. Sort j, -2, 1 in descending order.\nAnswer: j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 0.06 (c) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*q + 1, 14*q - 18*q + 2*h = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/187068 and 87\/9170.\nAnswer: 935340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 + 7*q - 9. Suppose -2 = -2*x - 2*d, 5*x + 3*d - 4*d = 35. What is v(x)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o, 4 = w - 4*o - 4. Let l be 84\/(-216) - w\/(-18). Let j = -0.7 - -0.67. Which is the third biggest value? (a) -2\/19 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1129732 divided by -564866\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 - 8)*(n**5 - 3*n**5 + 3*n**5).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3854 and 50799?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-85)\/55)\/(-1)*51. Let r = 79 - x. Which is the smallest value? (a) 3\/5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 192156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 48 = -5*m. Calculate the greatest common divisor of m and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-65)*(-325)\/(-350).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 2*i**2 - i + 110. What are the prime factors of s(0)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22503000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25883 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q - 9. Let z be g(-6). Solve -z*h + 6 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 33. Let i be q(20). Solve v - k + i = 4, 2*v + 26 = 4*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 + 39709 - 39698 - w + w + 2*w**2.\nAnswer: -4*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-5)\/55*(-2)\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 - w + 2. Let q be 10\/2 + (2 - 6). Is u(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 5595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 115.5. Let p = 2.5 - 6.5. Which is the nearest to 1? (a) t (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1*sqrt(432) + -2 + sqrt(432) - (sqrt(432) - 1*(2 + sqrt(432) + sqrt(432))))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 33369*i - 33362*i. Let x = -3 + 7. Solve i + x = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**2 - 5*m**2 + 18*m**2. Let p(s) = 3*s. What is p(i(l))?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504058039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 times 8?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16764 and 3577332.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. Let n = 8 + v. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10334 (b) 628 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.07 (c) 402 (d) -0.1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -35*m + 170*m - 45*m - 36*m - 40*m. Let l(y) = 25*y**2. Give l(c(d)).\nAnswer: 4900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23564898 and 2604?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 14?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914916 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23405 or 30\/89?\nAnswer: -23405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + 0.37. Let x be 2 + -1 + 2\/(-2). Let r = 4.1 + -4. What is the closest to r in 0.3, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 9:58 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p = 57*p - 15. Calculate the common denominator of (1\/p)\/(18\/216) and ((-8)\/(-12))\/(6\/74).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243))*3 + -4 - (-6*sqrt(45)\/sqrt(3))\/(2*sqrt(405)).\nAnswer: 5 + 82*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 + 32*a**2 - 103*a**2 + 30*a**3 + 32*a**2.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1080\/6090)\/(-18)*(-2)\/((-8)\/(-14))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*j**4 - 159057\/5*j**2 - 51520536\/5 + 7638219\/5*j + 237*j**3 = 0. Calculate j.\nAnswer: 8, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6518072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q - 1. Determine p(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a - 6*a + 24 - 21)*(-8 + 1 + 2)*(-1 + 3 - 1) to the form l*a + d and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 1. Let p(o) = 3*o**2 - o + 1. Let q(s) = -4*i(s) - p(s). What is the units digit of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 2:18 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3606, 3600, 3594, 3588, 3582?\nAnswer: 3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -55 - (-2 + 12)) + (-2 - 20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)\/(7\/21). Let a be -5 - (b*-4)\/4. Let y = 0.1 + -0.1. Sort a, 1, y in ascending order.\nAnswer: a, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -7651457?\nAnswer: -7651450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let b(z) = -8*z**2 - 5*z**2 + 3*z**2 + z**2. Calculate b(v(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116683 and 752080?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0613 + 10.9013. What is a rounded to one dp?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -211\/12? (a) 1\/3 (b) -0.2 (c) -0.01 (d) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 9) to base 4.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -180 and 6856.\nAnswer: -1234080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 + 1074*s**2 - 210*s + 1376. Calculate b(-215).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - 221?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/3*(-26 - -182). Suppose 5*i - 1299 = 3*k - 255, 0 = -5*i + 5*k + o. What are the prime factors of i?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1\/2*3. Let f be (-154)\/(-33)*18\/7. Is ((-34)\/j)\/(f\/198) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -969 = -5*u - 199. Suppose u = 5*h - 2*k, -4*h + 166 = h + 2*k. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7 (b) -2\/3 (c) -40 (d) 1\/3 (e) -176.8 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 2 n when four letters picked without replacement from abnaannbnanbabnbnnw?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2595\/(-1557)*(-3)\/20. Which is greater: -32\/25 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-427)\/14. Suppose 2*p - 84 = 18. Let w = p - k. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/5 - k**4\/6 - k**3\/2 - k**2\/2 + 58*k. Let p be b(-1). Solve -p = -n - n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l + 8. Let z be d(-9). Let p be (8\/z)\/((-3)\/15). Let f = 3.7 + 1.3. Which is the second smallest value? (a) 0 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 1232299*g.\nAnswer: g*(g - 1232299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 6*a**3 + 9*a**4 - 9 + 11 + 2*a**4 + 0*a**4 - 2*a**2 + a to l*a**3 + z*a**4 + y + i*a**2 + k*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22303132002 (base 4) to base 13.\nAnswer: 7821c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 547170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 70 - (-1 + 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.1836 times 0.07\nAnswer: 0.082852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 + -1.947. Let l = 1.9784 + m. What is l rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 2)*(-89 + 89 - 144*j**2) + j**2 + 2*j**2 - 5*j**2 to the form d*j + n*j**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -18?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156309 + 156309 + 37*s.\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1056301558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-50)\/(-6)*3\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -229*d + 3892. Calculate a(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let i(x) = 35*x + 42. Let y be -3 - (3\/(-2) + 81\/2). Suppose 0*j - 4*j = 4*q, -j - 3 = 4*q. Determine q*i(w) + y*a(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -1 + (-33 - -30) + -12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -42. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4 - 16*v**3\/3 - 2*v**2 - 45. Let b(s) = 8*s**3 - 33*s**2 - 9*s. Let n(d) = -4*b(d) + 9*m(d). Let n(p) = 0. What is p?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 362*a - 933. What is the smallest common multiple of 7 and d(3)?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 7557538.\nAnswer: -7557541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 84. Which is the nearest to -5? (a) s (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*p + 365 - 357 = 0, -p = 5*o + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 43, 5, 23 in ascending order.\nAnswer: 1, 2, 5, 23, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*j + 5*j - 103914, -2*j + 103910 = 2*w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113951 is divided by 213?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*d - 20 = -4*r + 1321*d, 21 = 5*r - 3*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/(-1484))\/(3\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 3*t + 8. Let k be c(2). Suppose 0 = -2*h + 6. Let n(z) = -2*z - 3 + z**3 + 0*z**3 - z. Let r(g) = -2*g - 2. Calculate h*r(j) + k*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 8236 + 8236.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*y**2 - 111*y**2 - 134*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -5*p**3\/3 - 3*p**2\/2 + 17*p + 2101. What is i(4)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8*m + 12. Let a(k) = 0*k**3 + k - 2*k**2 + 3*k**m - 4*k**3. What is a(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.1 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 86817403346497 - -0.4\nAnswer: 86817403346497.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let o(i) = -7*i - 2629*i**2 + 7*i + 794*i**2. Give o(u(m)).\nAnswer: -7340*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2763, 3388, 4015, 4644, 5275?\n\"Answer: n**2 + 622*n + 2140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10648917*q - 248*q**3 + 10648917*q.\nAnswer: -248*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6231*-15924\nAnswer: -99222444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/972 and (-2)\/13 - 14810\/28600*11.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/16 - 8*12\/128. Let l(n) be the third derivative of 7\/6*n**3 + j*n - 1\/3*n**4 + 1\/60*n**5 - 7*n**2 + 0. Suppose l(a) = 0. What is a?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l + 7. Let g be u(6). Let h = g - 8. Let k(i) = 4*i + 0*i - h*i + 0*i. Let r(y) = 2*y. Give r(k(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 335 = -2*l + 5*m, 5*m - 25 = 0. Let q = -41 - l. Calculate the remainder when 81 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*g - 31, 0 = -3*g - o - 5 - 20. Sort 1, g, 4.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from xxbbxxbxxxxxxx.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13551281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, u: 5, s: 1}. What is prob of picking 1 s and 3 k?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1283\/7 - -7705\/42. Factor -1\/6*u**4 + 0*u + c*u**3 + 0 - 1\/6*u**5 + 1\/6*u**2.\nAnswer: -u**2*(u - 1)*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqttqrqrqq. Give prob of sequence qrt.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 1, -1, -5, -11, -19, -29?\n\"Answer: -k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/5 - 94*x**3\/5 - 108*x**2\/5 + 576*x\/5 = 0. Calculate x.\nAnswer: -3, 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7562587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -2. Suppose 4*h = 2*f + 18, 4*f + k = -5*h + 35. Let j be 5\/(-2)*f*6. Which is greater: j or -16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7941 or -8265?\nAnswer: -7941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.025 - -0.025. What is the nearest to 3 in -2\/3, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000678834526 rounded to 7 dps?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s = 8. Let i = 5 - 5. Find the third derivative of -c**6 + 0*c + 0*c**2 + i*c + 2*c**s wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (25 - 36 - 64)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 733440 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 170*a**2 + 3. Let t(g) = 4*g**2. Calculate l(t(d)).\nAnswer: 2720*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from vvrbbrvvrvvrb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8970 + -8958. Calculate the lowest common multiple of q and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38.239 greater than or equal to -1041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8051705952 - -0.161.\nAnswer: -8051705951.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -416?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away 436570538?\nAnswer: -436570588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3771, -7546, -11321, -15096, -18871, -22646?\n\"Answer: -3775*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 73, -1, 5, -4, 35, 293.\nAnswer: -4, -1, 4, 5, 35, 73, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 8411.\nAnswer: -588.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 184692538122.7+0.2\nAnswer: 184692538122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 115, 176, 237?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/282 and -63\/20.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929*z**3 + 1157*z**3 + 1116*z**3 - 3189*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 788795.\nAnswer: -2\/788795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388648.1cm in millimeters?\nAnswer: 3886481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*198\/132?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*x + 78*x + 79*x**3)*(-11*x - 7*x + 7*x) + (-2*x - 2*x + 2*x)*(-5*x**2 + 5*x**2 + 2*x**3) to c + v*x**4 + i*x**3 + k*x**2 + f*x and give v.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:26 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and -26\/1775811.\nAnswer: 10654866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1901622263 to the nearest 100000.\nAnswer: -1901600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -515236 (base 7) to base 2\nAnswer: -10101100011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11118 * -154.\nAnswer: 1712172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = 12. What is the units digit of (2 - 2)\/j + 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12074 less than -2021148?\nAnswer: -2021147.87926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*2\/(-22) + 5\/((-15)\/(-3))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8578182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 291326 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(4540\/(-3) - 7). Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/4)\/9 + 1326\/(-1872) + 5\/6?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjej when four letters picked without replacement from {i: 4, f: 3, j: 2, e: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((117 - 68) + 19).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(931) - (-4*((-1*sqrt(209))\/sqrt(11) - sqrt(19)))**2.\nAnswer: -1221 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 + 36*s**2 + 160*s - 12. Let q be f(-4). Calculate the greatest common factor of 1333 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822249824.\nAnswer: 2, 88195307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + y + (y - y - y)*(3 + 1 - 5) - 2*y - 2*y + 2*y + y + 0*y + 9*y - y + 3*y + 3*y + 2*y + 3 - 3.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0 - 5\/2*x**2 - 6*x - 7\/3*x**3. Is 4 a factor of s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from jwjjwpji?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39209 + 39362. What is the remainder when z is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddoo when four letters picked without replacement from oooododdddb.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2428*g**4 + 6*g**3 + 4*g**2 - 144141*g.\nAnswer: 29136*g**2 + 36*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23 - 21*s**3 - 1 + 5 - 6 with respect to s.\nAnswer: -63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-5625) + 4767\/(-3150).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 10. Solve -g + z = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let f(h) = 29*h. Give y(f(m)).\nAnswer: 1682*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195*21.\nAnswer: -4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, y: 12, c: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 737657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5437627 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from dadfaafffadddadaaaa?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -16. Let u = 136 + -104. Let m = u + j. Solve -2*i = 2*i + m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3208 and 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*f**2 + 22188*f - 9513.\nAnswer: 3*(f + 1057)*(7*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 10) in base 12?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 18*g**2 + 17*g + 19. Calculate m(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 6*t - 30. Let g(w) = w + w - w - 5 + 0. Let z(a) be the second derivative of -a**3\/6 + 3*a**2 - 3*a. Determine t*z(p) + 6*g(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from {x: 5, b: 2, i: 2, u: 1, r: 2, l: 2}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 1. Let t be g(1). Let k(j) = j**3 + 7*j**2 + 4*j - 4. What is the lowest common multiple of 1\/2 + (-7)\/(-2) and k(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let t(w) = w - 9*w + 1 - 2*w. Let f(x) = -a(x) + t(x). Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(2\/(8\/2)). Let l be (-1)\/4 + 2\/u. Solve l - 2*q - 1 + 0*q - q**2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 5*m - 16. Let y be a(8). Let d be 192\/6*6\/y. Calculate the greatest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 1\/6*b**3 + 0*b**2 - 3*b + 1\/12*b**4. Factor g(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*s - 20, 4*g + 12 = 5*g - 4*s. Let b(q) = -42*q + 36. Let u(w) = -3*w + 4. Let f(k) = -b(k) + 9*u(k). Let t(v) = 7*v. Determine g*f(n) + 9*t(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -2, -2\/11, 965, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6640 by -5.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 222736361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(-1 + (sqrt(176) - (0 + sqrt(176)))*-4 + -5))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -49*g + 11. Let b(x) = 2*x**2. What is v(b(a))?\nAnswer: -98*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*f - 71 = -4, 5*c = -3*f + 160. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 + 4*h + 4. Let l(i) be the second derivative of -2*i**3\/3 - 8*i**2 - 7*i. Let s be l(-3). Let w be q(s). Solve m = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14022528 and 17\/384?\nAnswer: 14022528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 12*i**4 + i**4 + (-5*i**3 + 2*i**3 + 4*i**3)*(-i + i + 2*i) - 61 - 12*i**4 + 61 + 2*i**2 - 2*i**2 + 2*i + i**4.\nAnswer: -18*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-535)\/(-99) - 12\/66) + -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-56))\/(-11)*(-4)\/(-3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3216*y. Let f(j) = -11*j - 5*j + 15*j. Determine f(u(l)).\nAnswer: 3216*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -983957969*w - 259988653 with respect to w.\nAnswer: -983957969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3122914.91 to the nearest 1000.\nAnswer: -3123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - x - 2*p, -22 = -x - 5*p. Solve -3*n + 0*n = -4*j + 27, -5*n - 31 = -x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -52 - 22*h + 19*h + 17*h. List the prime factors of f(19).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - (-137 - -64) - -86?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Let r(p) = -p**2 - 5*p + 2. Let i be r(-4). Suppose -5*x + i*y - y + 15 = 0, 3*x + 2*y = -6. Solve s*n + x*n = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11899 - 12093 = 1456*p + 1340 - 4948 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 12*d + 16. Let l = d + 41. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42169644?\nAnswer: 2, 3, 11, 83, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = 4*j, 18 = n - 3*j + 4. Let v be -4 + 14 + (0 - n). Let c = 21 - v. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 864*j - 163*j + 9113 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918548 is divided by 2992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -51, -58, -15, 108, 341?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, 0.6, -3, -109, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwew when four letters picked without replacement from {b: 1, r: 1, t: 1, w: 4, e: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1 - 2. Let c(v) = v**3 + 0*v**3 - 8*v + 6*v + 2*v**2 + 3 - 1. Determine c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 72. Let v be j(-10). Factor 7 - v*i + 80*i**2 + 11 + 30*i**4 - 5*i**5 - 70*i**3 - 3*i - 8.\nAnswer: -5*(i - 2)*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 1 - 2 + r**2 + 0. Suppose 0 = -3*t + t + 20. Let f = 13 - t. What is k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 39*h**3 + 39*h**3 - 121*h**3 + 42*h**3 + 7*h + 7 + 6*h**2. Let x be z(7). Solve 4*k + x = -9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*n - 22, -3*s - 5*n = -n - 23. Let i be (-64)\/30 + s + 1. Which is the third smallest value? (a) -4 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -10 - 5. Let c(t) = -13*t - 5. Let g be c(w). What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.97721 to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from hqbkbhqhbqqxqkqqb?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6657480?\nAnswer: 2, 3, 5, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.13 (c) 36270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**21\/((i*i\/i**1)\/i)**(-41))\/(i**3\/i*i*(((i\/(i**(1\/4)\/i))\/i)\/i)\/i)**(2\/119) assuming i is positive.\nAnswer: i**(-477\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 183*y - 3039. Determine k(-18).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 h when three letters picked without replacement from nhnnnqtqn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 131*v\/2 + 10395\/4.\nAnswer: -(v - 297)*(v + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let w(j) = -10*j - 5. Let q(c) = -5*c - 2. Let h(y) = 5*q(y) - 2*w(y). What is h(m(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-360) - 4\/(-18))*4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/15 + 63*a**2. Let o(u) = 23*u. Give q(o(v)).\nAnswer: 2116*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:56 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 134916.06 to the nearest 1000.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1567 or -1569?\nAnswer: -1567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-175*l + 175*l - 25*l**3) - 1132*l + 331*l**3 + 1132*l.\nAnswer: 356*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -190489476.6 rounded to the nearest one hundred thousand?\nAnswer: -190500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*c - 29505*c - 13664*c.\nAnswer: -43976*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21366282 and 1341568?\nAnswer: 20024714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*y**4 - 236*y**3 - 234*y - 15 wrt y?\nAnswer: 444*y**2 - 1416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -31*x**2 - 1\/420*x**6 - 2\/21*x**5 + 1\/84*x**4 + 0 + 2*x + 20\/21*x**3. What is l in m(l) = 0?\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 41*i**3 + i - 1. Let g be o(1). Suppose 3*m + 8 = g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 4, l: 2, d: 4, m: 5}. Give prob of picking 1 l and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 175261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 - -38. Let x = u + 200. Calculate the remainder when (-10 + -1)\/(1\/(-2)) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**2 - 20*a**4 - 4 - 2\/3*a**3 - 219*a. What is the first derivative of o(u) wrt u?\nAnswer: -240*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose 169 = x*p + 33. Is -22 + 20 + (p + 1)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582450.5l in millilitres?\nAnswer: 582450500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 + 6*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. What is the lowest common multiple of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1493.919309 to 1 decimal place.\nAnswer: 1493.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qppp when four letters picked without replacement from ppqppppppppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4 + 2*j - 13*j**3 + 0*j + 10*j**3. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -727cd (base 14) to base 10\nAnswer: -275953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004993650321 to 7 decimal places.\nAnswer: -0.0049937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlxs when four letters picked without replacement from {l: 1, w: 2, d: 6, f: 5, x: 2, s: 1}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (94\/(-470))\/(2\/(-57370))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 14143318.\nAnswer: -2\/7071659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 2*u)*(0*u**2 + 2*u**2 - 4*u**2)*(1 - 3 - 1) + 3*u**3 + 17*u**3 - 1 + u**3.\nAnswer: 27*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*w + 16 = 0, 38*w = 35*w - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 147*c + 8. Let n(m) = m**2 - 13*m + 13. Let f be n(12). What are the prime factors of g(f)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 + -487\/5. Let n = 167 - 172. Which is the nearest to l? (a) n (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 363*t + 3 - 14902*t to the form v + u*t and give u.\nAnswer: -15265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, s: 5, f: 5}. What is prob of picking 2 w?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.17 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 9. Let u be m(-3). Let b be 4\/(-16) + (-35)\/u. Find f, given that 2*f**2 + 8\/3*f - b = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.3 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let t be g(-1). What is the first derivative of -t + 251*d**4 - 261*d**4 + 9 wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 8\/79367 (b) 0.2 (c) 4\/5 (d) 3\/4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3 + 242*l**2 + 2682*l + 1872.\nAnswer: -2*(l - 39)*(l + 8)*(4*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 51. Let j = 2210 - 2209. Put j, -1, -4, d in decreasing order.\nAnswer: j, -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) 6 (c) 3 (d) -680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35713 + 19?\nAnswer: -35694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -4. Let y be (m - 1)\/(-3 + 4). Let g(o) = -o**2 - 6*o - 5. Let c be g(y). Solve -2*b = -4*v, -2*b + c*v - 2 = -2*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -579439.139 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -971209 divided by 1.\nAnswer: -971209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-510)\/26)\/3)\/((-9364)\/(-121732))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let d be 0\/(-4) - p*-6. Suppose d = w + 2*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223213030 (base 4) to base 16.\nAnswer: -2b9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-840)\/(-16))\/21*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from vcvcvcvcvkkcccvccvv.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -27. What is the tens digit of d\/(-2 + (-11)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**3 + 8*h**2 - 16*h + 4. Let q be 55\/(-65) + (-6)\/(-117)*-3. Let y(g) = -g**3 - g + 1. Let r(w) = q*o(w) + 12*y(w). Solve r(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157139300 to the nearest one million.\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 4. Let i be o(3). Let t = 3 - i. Let p(w) = -w**2 - 6*w + 3. What is p(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 4252 + 7*q + 298.\nAnswer: 6*q + 4550","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-49) - (227490\/(-35) + -1). Suppose -k = -108*g + 97*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -29*x - 2. Let w(j) = 1247*j**2 + 609. Let l(i) = -6*i**2 - 3. Let k(d) = 609*l(d) + 3*w(d). Determine a(k(r)).\nAnswer: -2523*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1740 - 680. What is the hundreds digit of m\/(-15)*6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6458 divided by -3.\nAnswer: -6458\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(2*(-3)\/(-2)))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000100100 (base 2) to base 13.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2. Let d = 528 - 527.8. What is the biggest value in 7, m, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14407 - 1103?\nAnswer: -1550a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5869.\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h - 1. Suppose 5*r - 55 = -0*r. Let a = -9 + r. Suppose -3*b = -l + a*b + 27, 20 = -4*b. What is t(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {l: 6, g: 4, z: 4, e: 2, t: 1, x: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -642500 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -36. Calculate the remainder when 22 is divided by (-50)\/(-4) - (-4)\/d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*m + 100*m + 4*u = 50, -5*m - 2*u = 65 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -7 + 20 - 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1242 + 0.5242. Let d = 3 - 8. Which is the nearest to 1? (a) g (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 4:56 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r**2 + r**3 + 14*r**2 + 2*r + 6 - 2. Suppose u - 17 = 5*t, 0 = 2*t + 3*u + u - 2. Calculate c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 3}. Give prob of picking 1 c and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10718592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 831161869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/7 + 121398*z**4\/7 + 263143170*z**3 - 5527099198*z**2\/7 + 485616*z\/7 + 7369465608\/7 = 0?\nAnswer: -30351, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (10 + -16 + -3 + 15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by 141\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63762013 is divided by 15940501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-43)\/(-473) + (-2 - 15159\/11). Is x bigger than -1380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 33*i - 226. Let q be f(-23). Suppose 15 = 4*g + 5*o, -o + 4*o - 2 = -g. Solve -g*d + q = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71273149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136412897 + -37947103. What is r rounded to the nearest 1000000?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**8\/840 - j**7\/210 - j**6\/60 + 11*j**3\/3 - 4*j**2. Let p(f) be the first derivative of b(f). Factor p(u).\nAnswer: 2*u**2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 + 6*p**2. Let m be 4\/14 + 10\/14. Let f(u) = -m - u**2 + 1. Calculate f(y(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l + 37. Let n(h) = -h + 1. Let t(z) = -i(z) + 3*n(z). Give t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 893*g - 4*g**2 - 2*g**2 + 3*g**2 - 944*g.\nAnswer: -3*g*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*n + z, 0*n + 5*z + 14 = -n. Suppose -283 = -4*d - h, 2*d + n*h - 137 = h. Suppose -986 = -15*s - d. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/8)\/((-18980)\/(-60736)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + 41*a. Let b be s(6). Let t = b + -52. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228429 divided by -1493?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/129 and -54\/301.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + (19 + -21 - (0 - 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 16*w**2 + 2*w + 2. What is the units digit of m(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*2\/(-4) - -3. Suppose c*i - 8610 = -2*u + 9978, -3*i = 12. What is u rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 + 6*w**3 + 69*w**3 - 8*w**3.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.7777765 rounded to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/18 and 85\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2 + 6055. Let a(l) = -2*l + 1363. Give b(a(f)).\nAnswer: 4*f - 2726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.7 - 0.9. Let u = o - -7.5. Let d = u - 16. What is d rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6 - 7*t**2 - 1 - t**3 + 0. Let l = 11 - 18. Let d be c(l). What is the greatest common divisor of d and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737756 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2136, -4358, -6580, -8802, -11024, -13246?\nAnswer: -15468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -2 in descending order.\nAnswer: 0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65823996*b**2*j - 159637999*b**2 wrt j.\nAnswer: -65823996*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.433 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.875 + 0.125. Is w >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 776\/627 - -2\/57. Calculate the common denominator of 99\/34 and r.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147146 (base 9) to base 5\nAnswer: 10344034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**3 - 7*j + 4. Let m(t) = -t**3 - t + 1. Calculate b(y) - 4*m(y).\nAnswer: -2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 1\/6, -2\/13, -0.216, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 2*z**2 + 0*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/(-10) + 1\/5 + 1079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243240 (base 5) to base 13.\nAnswer: -4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 906*x + 5479. Suppose -2*i = -3 - 31. What is the remainder when i is divided by c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + 1. Let f(d) = -2*d**4 - 76*d**3 - 44*d**2 - 96*d - 18. Let q(l) = 2*f(l) + 36*g(l). Factor q(k).\nAnswer: -4*k*(k - 24)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -1384, -3217, -5810?\nAnswer: -9163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.05072235 rounded to 2 decimal places?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -276.76828 - 0.23172. Which is the nearest to 0.2? (a) 1 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -14 (c) 75 (d) -1\/4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.024*-1630\nAnswer: 39.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 - (2 - 11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 14. Let k(z) = -1. Calculate 4*k(j) - u(j).\nAnswer: -8*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 85, -12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2*x. Is -3 + x + -4 - -98 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -64. Let t = h - -43. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 - 3 = 0. Let c be -1 - -6 - (d - -3). Let j(q) be the third derivative of q**6\/120 - q**5\/15 - 5*q**3\/6 + 37*q**2 - 5*q. Give j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -2d35?\nAnswer: 2d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 0*f**3 - 1\/4*f**4 + 1\/4*f**2 - 1\/8*f**5 + 1\/8*f + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12822992 divided by -1831856.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 16712904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -da?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 61325.744 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*585\/(-78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 456\/(-1728) - (-6)\/16. What is the smallest value in c, -2\/17, -0.1, 6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1011*b - 317. Is 22 a factor of w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-4) + 5\/4)*42 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 211 + x + 0*x**2 + 252 to k*x + v*x**2 + h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 64 - 11. What is the third derivative of s*z**2 - 2*z**5 + 24*z**3 - 24*z**3 - 7*z**5 wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/30 + 4*v**2. Let d(i) be the first derivative of -i**2\/2 + 16. Give d(x(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y. Let d(r) = 304*r**2 - 2. What is v(d(k))?\nAnswer: 4560*k**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from ifwwwwwww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300421501 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*l + 1, -13*l + 322 = 3*s. What is the remainder when 476 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*g + 57 = 0, -2*i - 3*g = -0*g - 25. Calculate the smallest common multiple of i and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -15, -29, -63, -123?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27220596 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -279 + 18. Calculate the remainder when c is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*b + 262*b + 130*b + 726*b.\nAnswer: 1243*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(612) - (sqrt(612) - sqrt(612)*-2) - sqrt(17)) + (2*sqrt(136) - sqrt(136))\/sqrt(8) - sqrt(68)\/sqrt(324)).\nAnswer: 109*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/56*40\/6. Suppose x*m - 3*p = 25201, -3*m - 19*p = -18*p - 15115. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3*s**2 + 10*s**2 + 10 as j*s**2 + f + c*s and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 minutes after 10:39 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 13724903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -0.5 (c) -1\/4 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 213*s - 85. Let i(q) = 2*q + 12. Calculate i(g(h)).\nAnswer: 426*h - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 147*h = 75*h - 2842 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-240)\/13)\/(-3) - 654\/109. What is the third smallest value in 1, h, -1\/3, 1\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 6340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {e: 4, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*i + 26 = 0, 3*g = -3*i - 24 - 18. Let k(q) = -26*q - 40. Is 12 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/((-5)\/60*-6). Is 8\/17 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57\/50 + -917\/300. What is the common denominator of 4\/72*(-327)\/2 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -624 (base 11) to base 16\nAnswer: -2f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -109. Let b(v) = 36*v**2 - 23 - 42*v**2 + 29 + v + z*v. Let s(x) = x**3 + x**2 - x - 1. Give b(i) + 6*s(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 19\/6853?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*30\/(-4). Suppose -5*b - o = r, -2*r - 3*b = -2 - 2. What are the prime factors of r - (0 + (-3 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 219, 124, -135, -642, -1481, -2736, -4491, -6830?\n\"Answer: -14*g**3 + 2*g**2 - 3*g + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r + 2. Let t(n) = -489*n**2 + 3*n - 6. Calculate 3*b(c) + t(c).\nAnswer: -486*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/55 - (-203)\/(-5). What is the smallest common multiple of 19 and -1 - (-1 - v\/(-5))?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 5*d - 3. Let u be (-35)\/15 - -3 - (-17)\/(-3). Let y be b(u). Let w = y - -15. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 28*j**2 - j + 1. Suppose 4*w = -0*w + 4. Let a be f(w). Let k = 40 + -33. What is the greatest common divisor of k and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0504 - -2.4204. Round y to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -535 + 186 + h**2 + 180 - 15*h + 175. Calculate w(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-11)\/231). Let r(j) = j**2 + 7*j - 3. Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 757*k**2 - 1685*k - 374 = 0 for k.\nAnswer: -187, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*n = -2*n + 9, -4*n = -12. Suppose -3*q - 5*k = -1297 - 486, -l = 3*k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 13372?\nAnswer: -13374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and 439739?\nAnswer: 1011399.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4) + 2 - 5\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 2018368*x + 6055095.\nAnswer: (x + 3)*(x + 2018365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1405680?\nAnswer: 1405680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 - 3708*u**2\/7 - 2112*u.\nAnswer: -3*u*(u + 4)*(u + 1232)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -124300 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/640*-6)\/((39\/(-24))\/13).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277.730399 + 0.059601. Let i = d - 279. Round i to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126\/31? (a) -0.4 (b) -2\/17 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d2c (base 15) to base 16.\nAnswer: -25f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvovz. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-2)*152\/(-760)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1954596 and 17724.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:08 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -5 (b) 2.58 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129503093 > 129503093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6) - 5\/15. Suppose 5*d - 6 = a - l*a, -a - 6 = -2*d. Suppose g + 2*v = 10, -3*g = -g - d*v - 2. Solve 6 = -p + g*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/572 and -18\/793.\nAnswer: 34892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - -4)*4\/(-6). What is the third derivative of -6 + m**w + m**2 + 6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.2 + -10.115. Round p to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*f + 138. Let v = -51 + f. Solve -7*n + 35 = -v*n - 5*x, -4*n + 5*x + 30 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282013.8 kilometers to meters.\nAnswer: 282013800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195146 and 841337?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1224 + 44069\/36. Let i(z) be the second derivative of 0 + 8\/9*z**3 - 5\/12*z**5 - w*z**4 - z - 2\/3*z**2. Suppose i(q) = 0. What is q?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00068391 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = b + r, 0 = 3*r + 33 - 21 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/2)\/((i\/(i**(-2\/7)*i))\/i)*((i*i**(2\/13)\/i)\/i*i)\/(i\/(i*i*i*i*i\/((i*i\/i**(-1)*i)\/i)*i*i))*(i**3\/((i*i**(-3))\/i))**(4\/15) assuming i is positive.\nAnswer: i**(6341\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -16, -1\/4, -1160, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*b + b + 84 = 0, 2*u = 5*b + 100. Let r be 32\/u*(-5)\/(-2). What is the nearest to r in -0.1, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*z**4 + 1660*z**2 + 3*z - 4239169.\nAnswer: -228*z**3 + 3320*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*i*m**3 + 2*i*m - 2*m**3 - 26*m with respect to i.\nAnswer: 21*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 33*r + 424. What is c(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/7 + -1\/14. Let r = -1545 + 1545. Which is the second biggest value? (a) x (b) r (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19674.\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674 by 3.\nAnswer: 674\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*l + 28, -28*t = -5*l - 29*t - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b + 50 = 103*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24101 and 55.\nAnswer: 120505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = 69*d - 0 - 0. Let s(y) be the first derivative of 8\/3*y**3 + 18 + d*y**2 + 0*y. Let o(c) = 4*c**2. Determine s(o(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*v - 24*v = -47085. Suppose -61 + 1 = -3*p. What is the remainder when v is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -10. Suppose f - 7 = -s + 2*f, 0 = -5*s + 4*f + 30. Is r + -1 + s + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39954 (base 10) in base 6?\nAnswer: -504550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116571 divided by -16653.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273.94 - -277. Let x = b - 0.06. Which is bigger: 107 or x?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2)*(-24)\/112)\/((-2400)\/2800).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**5\/390 - n**4\/52 - 3*n**2\/2 - 1. Let o(i) be the second derivative of p(i). Find h, given that o(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 16*t - 138. What is the least common multiple of d(-10) and 782?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k + 5. Let x be u(7). Suppose 5*b - 30 = x. Let b*i**2 - 2*i**2 - 3*i + i = 0. What is i?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -258*(-40)\/(-16)*(126\/(-5))\/2. What is the highest common divisor of q and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.428\nAnswer: -2.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*j + 125. Suppose -5*h = -j - 64. What is the tens digit of h\/(-1)*5\/(80\/(-172))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -182c - 0?\nAnswer: -182c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10355?\nAnswer: 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40861, -163492, -367867, -653980, -1021825?\n\"Answer: m**3 - 40878*m**2 - 4*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 31160312.29 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55371 - 1266?\nAnswer: -56637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43479\/22658 or 3?\nAnswer: 43479\/22658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 2. Let m be o(3). Suppose 3*z - 5 = m. Let y(f) = f**3 - 3*f**2 + f - 3. Let x be y(z). Solve d + x*d - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r = 55*r + 342 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 725 and 45090.\nAnswer: 6538050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -23, 0, 4.\nAnswer: -23, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6, 0*n - 2*g + 74 = 2*n. Suppose -19*i + 21*i = n. Solve 3*t + z = 12, 4*z - i = -5*t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29685?\nAnswer: 3, 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/20)\/(3\/60). Let o(a) = a**2 - 2*a - 9. Is o(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 411.505, -9\/131 in increasing order.\nAnswer: -9\/131, 4, 411.505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6274 or -2140?\nAnswer: -2140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/5)*k)\/k**6)\/((k\/(k*k**(-11\/5)*k))\/k**(3\/14)) assuming k is positive.\nAnswer: k**(-503\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = 0, -y + 2*q - 291 - 1084 = 0. Let n be (-4)\/10 - 14122\/(-5). Let s = n + y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11908139473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**4 + 0*h**4 + 2*h**4)*(6 - 4 + 1 + (3 - 2 + 1)*(-24 - 6 + 6)) to the form l*h + t + c*h**2 + u*h**3 + p*h**4 and give p.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*n - 9650002, 2*n + 2 = -2. Let l be 10\/(-5) - (b + 0). What is l rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from ssll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (-2 - 1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - (4 - 3). Suppose 5*s + 9 = -1. Let y be 0 + 1 - (-8)\/s. Sort y, 1, c in increasing order.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*x + 783*x + 54120 = -380*x for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 9*q - 10. Let x be k(8). Let y be (-3 + 2)\/(x\/4). Let h be 1\/y*(0 - -6). Solve r = -h*d + 12, 3*d = -2*r + 7*d - 26 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 8*b**3 + 0*b + 0*b**2 - 30 - 1\/4*b**4. Let r be i(24). Sort -0.2, -0.3, 0.5, r in ascending order.\nAnswer: -0.3, -0.2, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3446208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*(-220)\/(-3080)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 divided by -22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85353101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408850, -817702, -1226554, -1635406?\nAnswer: -2044258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6*15\/(-150))\/((18\/(-8))\/(-22 + 12))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 3\/52 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 16*k - 12. Let z be m(-10). Solve -177 - z = 45*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-7))\/((-1)\/1). Let k = 2.63273 - 2.43273. Suppose 3*s - 4 = -1. What is the third biggest value in i, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 422 and 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12525116779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 5, 4503, 2, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1153 + 462?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/55 + 5\/11. Suppose 15*q - 51 - 9 = 0. Find b, given that 2\/5*b**5 - k*b**q + 0*b**3 + 0*b**2 + 0 + 0*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11258.\nAnswer: 2, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 99. Which is the nearest to -0.2? (a) -0.5 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.04 + -0.04. Let b = 1.749 + -4.749. Sort 0.3, l, b, 2\/11 in descending order.\nAnswer: l, 0.3, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*q + d - 228 = -249*q, 0 = 3*q + 3*d - 351. Solve 108*i + 9 = q*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, 315312 in decreasing order.\nAnswer: 315312, 4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + -58)\/(-8) - -8. Let t(a) = 6*a - 94. Let l be t(q). Solve -3*x + 15 = 3*b - 12, l*b + x = 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrrddwrdrdvrwd. Give prob of sequence dwrv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -4614594906781?\nAnswer: 4614594906781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578085056.\nAnswer: 2, 3, 2739731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from nvnvcqkqqcunnccvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56026750 to the power of 1\/2, to the nearest integer?\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) - 44\/(-10). Let v = 1.1 + -1. Let h = 17 - 16.9. Which is the nearest to h? (a) v (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - -22 - 21 - 33 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m**5 + 0*m - m**3 - 3 + 1\/2*m**6 + 0*m**2 + 0*m**4. Find the third derivative of y(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 15*o + 48. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqss. Give prob of sequence ssss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(-244)\/(-12)*-3. Suppose -4*a + 7*a = d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/5)*r*r**(-2\/9)\/r)\/((r*((r**(4\/7)\/r)\/r)\/r)\/((r**(3\/5)*r*r)\/r)))\/((r\/r**1)**(1\/27)\/(r*r**0)**39) assuming r is positive.\nAnswer: r**(13106\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-16*(-190)\/(-1216)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -33. Let q be ((-26)\/(-273))\/(2\/(-70)*6\/(-28)). Is l < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/55)\/(-9))\/(1\/5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/20)\/(35\/6145300).\nAnswer: 5, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = m - 19, -4*m = t - 2 - 17. Calculate the common denominator of -139\/174 and (177\/(-4) - 3)*t\/36.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 517, 473, 389, 253?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 13 = 3*i, 0*l - 1 = 2*l - 3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6))**(-4\/7)\/((q\/(q*q\/(((q\/q**35)\/q)\/q)))\/((q\/(q*q*((q\/(q\/(q\/q**(-23)*q))*q*q)\/q)\/q))\/q*q)) assuming q is positive.\nAnswer: q**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 4 = -3*m + d + d + 24, 2*m + 6*d = 54 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let o = -9.01 - -13.14. Let p = -0.13 + o. Which is the third biggest value? (a) p (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6558 + -3423. Suppose c = 6*v - 4089. Suppose 2*r = 286 + v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -11*a + 62. Suppose 2500 + 158 = a*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, i: 1, l: 2, k: 1, w: 1}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5035785?\nAnswer: 3, 5, 335719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by -1667\nAnswer: 191\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 121, 0.3 in ascending order.\nAnswer: -5, 0.2, 0.3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 936 - 131 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.25 - 1.55. Let o = -3.171 + 0.171. Sort -39, o, t in descending order.\nAnswer: t, o, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(4)\/sqrt(2)*-2)**2 + (2 + sqrt(98))*3.\nAnswer: 21*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 1 + 7\/3*j**3 + 0*j**5 + 0*j**4 + 0*j - 7\/6*j**6 + 0*j**2. What is the third derivative of g(v) wrt v?\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/537*22\/176.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*u + 149 - 433, 5 = -x. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*z - 94384 = -94300, 5*p + 5*z + 105 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/7)\/(-2)*39\/26. Let -p*g - 1\/2 - 1\/4*g**2 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - g + 5. Let i be q(3). Let w = i + -14. What is the units digit of -5 - -45 - w\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -55745800.\nAnswer: -55745800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2524, -9131, -20140, -35551?\n\"Answer: -2201*w**2 - 4*w - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188 is divided by 911.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z**5 - 34407*z**4 - 2523450*z**3 - 28847682*z**2 + 20078037*z - 3393495 = 0 for z.\nAnswer: -1197, -63, -15, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 82757.64 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 861680081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 11 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 2*a**3 + a**3 + 15*a**3 + 20*a**3 - 7*a**3 + (-6*a**3 + 3*a**3 + a**3)*(-2 + 3 - 4) to the form j*a**3 + p*a**2 + r + u*a and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from buuduozbuuzubab?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k - 32. Give n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from ffll?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28492 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsjjsjjjj. What is prob of sequence js?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-33)\/6 + 4 - 0). Suppose 0*l + l - 27 = b*t, 15 = -3*t. Let m(v) = -v**2 + 16*v + 53. Calculate the lowest common multiple of m(l) and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(18\/(-3))*-12. Let c(g) = -g**2 + 8*g - 8. Let y be c(x). What is the greatest common divisor of 32 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 11*v - 2. Let o be y(-10). Solve 5*c - 28 = -o, -2*r = 3*c - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.3 - -7.2. Which is the second smallest value? (a) 0.2 (b) 4 (c) n (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 34*q**3 + q**2 - q - 2. Let i be d(2). Calculate the highest common divisor of i and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334562 (base 10) to base 8.\nAnswer: 1215342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -198 and -2488.\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50\/9 - -491\/90. Let i = 0 + -2. Let j = i - -2.1. What is the second biggest value in -0.5, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428243.\nAnswer: 2428243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*b**2 - 256*b + 514*b - 258*b + 142*b**2.\nAnswer: 306*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s. Suppose 4*k + 4 = 4*o, -2*k + 2 = -5*o + 7. Let a be k - (-2)\/((-1)\/1). What is the smallest common multiple of m(a) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**5*c*c*c**(1\/15)*c assuming c is positive.\nAnswer: c**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 2. Let j be h(0). What is the tens digit of (4\/j)\/((-3)\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 = -y, -6*y + 2*y + 12 = 4*v. Suppose v*f + c = 9, 4*f - 3*c = 2*c + 3. Find i, given that f*i + 2*i**2 + 2*i**4 - 14\/3*i**3 - 4\/3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99873 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (4 - 3 - 6). Let a be 34\/4 + j\/4. Suppose c - 6 = a. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8)*-4*(1 - -12). Suppose -a*w = -15*w + 48. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 + 0 + -17). Let s be (6 + 125\/(-20))*-4. Let h be -5 + 2 + (12 + -8 - s). Put 4, -4, f, h in decreasing order.\nAnswer: 4, h, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2072712*y**6 - 512960*y**2 wrt y?\nAnswer: 248725440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 11) in base 3?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*l = -398*l - 287 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2 - (8\/(-2) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24410606824 and -1598.\nAnswer: -24410608422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 73744 - 5492 = -87*v. Is v a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 92, 118, 144, 170, 196?\n\"Answer: 26*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200))\/sqrt(5) - sqrt(40))\/sqrt(8)*5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 0. Let o(h) = -8*h - 104. Let t = 336 + -347. Let j be o(t). Sort 3, j, d.\nAnswer: j, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = 8. Sort c, 5, 2 in descending order.\nAnswer: 5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.02 (b) -0.4 (c) -7\/115 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1930, -7260, -16050, -28300, -44010, -63180?\nAnswer: -85810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1389 in -6, -1\/8, 1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/44 - (-35)\/11. Suppose s*o + 12 = 6*o. Suppose 3*a - 57 = 4*i, -o*i - 9 = -a + 18. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i - 24. Let d be -96*2\/i*-3. Let l = 89 - d. Is l at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -773, 5.\nAnswer: -773, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -75, 5, 117, 261, 437, 645?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 135*p**2. Let x(g) be the first derivative of -1\/2*g**2 + 0*g + 6. Calculate s(x(f)).\nAnswer: 135*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g + 89375 - 89060 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -2 (c) 2\/773 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/84 and -15\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1368974927?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.5 (c) 82 (d) -5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 674465 and 367890.\nAnswer: 4046790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575580.455 rounded to the nearest one hundred?\nAnswer: -1575600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.2771.\nAnswer: -0.02771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + (-4 + -2 + 5 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 327433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) -43 (c) -5 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -8\/9, -128, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/1380*-8*-3\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-52564.\nAnswer: 683332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14706)\/190)\/(2\/(-110)). Round r to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*o + 3*f, -3*o + 2*f + 1 = 0. What is the tens digit of (-2 + 0 + o)*-16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 6. Suppose o - r = -3*s + 3*o, 3*s + 3*o - 33 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38\/117 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 121. What is the greatest common divisor of l and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*j**5 - 2*j**4 - 6*j**3 - 1691*j + 2 wrt j.\nAnswer: 440*j**3 - 24*j**2 - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k**2 + 2241*k + 388. Calculate f(141).\nAnswer: -1727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 36990226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 - (-9 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 5*b - 4*s, 0*s + 141 = 4*b + 5*s. Suppose 6*h - 41 = 4*h + 3*k, 2*h - k - 31 = 0. What is the highest common factor of h and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10143221 (base 5) to base 6\nAnswer: 1445430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**7\/420 + i**6\/90 + i**5\/60 - i**3 - 4. Let g(j) be the third derivative of p(j). Let g(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:41 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(27 - 8*y**4 + y**2 - 27).\nAnswer: 8*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + (-221)\/(-4). Suppose 10 = o - k. Suppose 3*q - 4*p = o, -3*p + 66 + 81 = 5*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*u - 5 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*28.79488.\nAnswer: 5.758976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + d = 15, -5*d + 38 = 5*o + 8. Suppose 31*c - 5*a - 23 = 27*c, 0 = -5*c - 3*a + 1. Solve 3*z - 9 = -5*m, 3*z + o = -c*m + 3*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(156) + 4*(sqrt(156) - -6*sqrt(156) - sqrt(156) - sqrt(156))))\/((-4*sqrt(300) + sqrt(12))*-1).\nAnswer: -42*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -8*w + 44, 3*w - 795307*f - 8 = -795302*f for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (1110\/(-4))\/(-5)*24\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-8)*t)))\/t**(-2))**(-14)*(t*t**(-5)*t)\/t**(-2\/9)*t**8*t**(-6) assuming t is positive.\nAnswer: t**(-1519\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-4)\/16*-4. Let x be 3*d\/9*2. Suppose -12 = -i + x. Solve -2*q - b + 6 = 0, 4*b - i = -q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/(8\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*w + 30 = -0*z, 0 = 4*z - 2*w + 48. Let k be 5\/(-3)*(z + 8). Suppose s - k*a - 7 = -21, 4*s = 4*a - 8. Which is smaller: s or 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 38 = 4*q - 72, -5*w = q + 135. Let s = w - -37. Suppose 2*a - 81 = -3*o - a, 4*a = -5*o + 130. What is the greatest common factor of s and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let x(g) be the second derivative of g**4\/12 - 5*g**3\/2 - 2*g**2 + 9*g. Let y be x(16). What is the units digit of k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 4*w - 1002. Determine r(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888400.6 seconds to nanoseconds.\nAnswer: 888400600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 173*o. Let h(z) = -8631*z. Let q(b) = -8*h(b) - 399*y(b). Let a(t) = 89*t**2. Determine q(a(c)).\nAnswer: 1869*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {n: 2, l: 4, b: 2, a: 5}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d + 6. Suppose 4*g - 4 = u, -3*u = -3*g - 0 + 12. Suppose g = -4*t + 2*t + 14. What is the units digit of f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1\/12*a**4 + a**2 + 1\/3*a**3 + 1\/60*a**5 + 0*a + 0. What is t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -8.2747?\nAnswer: -7.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 37 = -7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -5*p + 84, -5*p + 13 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(28)*-2)\/sqrt(4) + 1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*u + 26, 4*l - 3*u - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 37920.\nAnswer: 151680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 744317 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c + 3*w - 19 = 0, -5*c - 4*w = -24. Suppose -3*f - c*d = -0*d + 224, -f - 64 = 4*d. Let z = 80 + f. Sort z, -1, -4 in descending order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573212741?\nAnswer: 11, 1549, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151267502 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/23 (b) -2 (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 9. Suppose f = -5, -5*h - 5*f + 3 = -h. What is the remainder when 88 is divided by d(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.2. Suppose -5*k - 20 = 3*j, -5*k + j - 12 = 8. Let s be 3 - (16\/4)\/k. Sort -0.1, g, s in increasing order.\nAnswer: -0.1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5\/3, -1349, 2\/3, -1\/3?\nAnswer: -1349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 3}. What is prob of picking 2 y and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -36. Suppose -3*c + b - 5 = 0. Does 6 divide c\/3*(-9)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40090 plus 25224.6?\nAnswer: -14865.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*i*q + 41*a*i - 3*a*q - 3*q - 2 wrt i.\nAnswer: -2*a*q + 41*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -151*d + 1. Let q = 34 + -35. What are the prime factors of t(q)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 15, o: 3}. What is prob of picking 4 j?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 16, -2, -4, 101, 1\/5, -0.4?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from rrrurrrurrerrru.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26354*g - 239. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((2*sqrt(152))\/sqrt(8) - sqrt(19))) + -5 + sqrt(19)*-1 - (sqrt(19) + 5*(1 + sqrt(19) + sqrt(19)) - (sqrt(1539) - (2 + sqrt(1539))))**2.\nAnswer: -2353 - 155*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131982 (base 12) in base 3?\nAnswer: -120221221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4338, -4132, -3924, -3714, -3502?\n\"Answer: p**2 + 203*p - 4542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n - 2. Let f(x) = -13*x**3 - 5*x**2 + 25*x + 39. Let w(i) = 12*a(i) + f(i). Give w(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118293274.\nAnswer: 2, 11, 61, 181, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*i - 7, -24*i - 12 = -4*z - 20*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 162*j + 736. Let i(k) = -53*k - 245. Let v(s) = 2*d(s) + 7*i(s). Does 13 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 - (-17 - (-9 + -9 + 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160290 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j - 159*j**2 - 25*j**3 + 8*j + 27*j**3 to the form s*j + i + f*j**2 + m*j**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15*c*c\/(c*(c**13*c)\/c))**35 assuming c is positive.\nAnswer: c**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from kagckklackczakckall.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 68653*c\/2 - 240261.\nAnswer: -(c + 7)*(c + 68646)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -185*a**2 + 81*a + 109. Let t(s) = -41*s**2 + 20*s + 27. Let o(j) = -2*h(j) + 9*t(j). Give o(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 54. Let l be (i\/6)\/((-3)\/(-6)). Suppose -l*j = -14*j - 9. Sort 0.3, j, 3 in decreasing order.\nAnswer: 3, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n - 5. Let y be v(0). What is the fourth smallest value in y, 0.3, 4\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34609 + 19399. Suppose -g = -3*n + 30, -4*g - 62 = n + 58. Let m be f\/g + 0\/(-1). Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 p when four letters picked without replacement from pprreprepppppr?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93339661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 0, -1.7, 3\/2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 3. Let b be l(-10). Let s(f) = f**3 + 4*f**2 - 3*f + 7. Let t be s(-5). Let v = b + t. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 48820 + 48245 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = 3*h. Let g = 26 + h. Suppose 5*p + 36 - 426 = -3*w, -138 = -w + p. Calculate the highest common factor of w and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 3 (c) -21494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*c - 26 = -8, 4 = 2*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 452c9a (base 14) to base 11\nAnswer: 1366673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = -8. Suppose -3*r + 8*r = w*a - 18, 0 = -a + 5*r + 12. Let p(n) = -n. Let k(o) = o. What is a*k(g) + 3*p(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2339 divided by 4520\nAnswer: 2339\/4520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 2)) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 7. Let b be l(-6). Let o = -2 - b. 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 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568379 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 3, -45\/2, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 6. Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p + 4. Let g be h(-4). Suppose 4*m - 7 - 1 = 0, s = 3*m + 34. Calculate the greatest common factor of s and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 92 = 7*n. Let x = 26 + n. Let s = 8 - x. Solve 0*y + 4*y - 20 = -2*b, s = 4*b + 5*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + 7*l. Suppose 20*m + 7*m - 891 = l. What is the remainder when 96 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337329.\nAnswer: 7, 191047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 491 = 5*m, -7*m + 12*m - 15 = 0. Let -7942 - 129*v - 226*v - f*v - 3*v**2 - 10781 = 0. Calculate v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 11*s**2 + 77*s + 30. Let f be r(-16). What is the greatest common divisor of f and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 = d. Let b(p) = 2*p**3 + 3*p**2 + 3*p - 2. Let t(o) = 5*o**3 + 7*o - 153 - 146 + 296 + 7*o**2. What is d*t(i) + 7*b(i)?\nAnswer: -i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15644, 122888, 413938, 980696, 1915064, 3308944, 5254238?\n\"Answer: 15317*k**3 + k**2 + 22*k + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6237 is divided by 174?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2016287*d**5*p + 2*d**2*p - 2304*d**2 + 664*d wrt d?\nAnswer: -120977220*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4374859*d - 5153176 wrt d?\nAnswer: -4374859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liinillillinlll. Give prob of sequence lil.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -13.57 not equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7056)*-1)\/((sqrt(77)*1)\/sqrt(11)) + ((sqrt(847) + sqrt(847) + -2*sqrt(847) + 4)*-5)**2).\nAnswer: -12*sqrt(7) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(0*x + 5*x - 6*x)*(-373 + 883 - 296) + 2*x + 0*x - 3*x + (2*x + 2 - 2)*(2 + 1 - 2) + (2 + 0 + 0)*(3*x + 2*x - 6*x).\nAnswer: -857*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 85. Let g(a) = a. Let q(t) = 2*t**2 - 6. Let u(m) = k*q(m) + g(m). What is the tens digit of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257053 is divided by 257046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 5\/7 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(12\/(-3)) + 0. Let m(x) = x + 9. Let b be m(p). Suppose v + 14 = -3*i, -5*v - b*i - 1 = 9. What is the highest common factor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*h - 81 - 5, 130 = 5*h - 2*i. Let t = h + -5. Solve -l = 4*b + t, -4*b + 0*l + l = 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 82?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-4) + (-6)\/8*4. Let c be (7 - g)\/(1\/7). Solve 0 = h - c + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-11)\/3080*-20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 - 5*n**2 + 11. Let w(r) = r**3 + 4 + 3273*r**2 - 4 - 2 - 1638*r**2 - 1634*r**2. Give -11*w(l) - 2*z(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2266 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10893 - 13517*j**4 + 38278*j**4 - 18778*j**4 wrt j?\nAnswer: 23932*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -398 + 5972\/15. Let w = -0.49723 - 0.00277. What is the closest to 0 in o, w, -3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 5*n**2 - 9 + 4*n**3 - 33*n**2 + 1 + 28*n.\nAnswer: 4*(n - 2)*(n - 1)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272) - 2*sqrt(272)*-3 - (2*(-2 + sqrt(272)) + sqrt(272) - sqrt(272)) - (1 + 1 + sqrt(272) + sqrt(272) - (sqrt(272) + 4 + sqrt(272) + 2)))**2.\nAnswer: 320*sqrt(17) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1683 and -79\/2176.\nAnswer: 215424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203261 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230113 (base 4) in base 12?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100406492 rounded to 6 decimal places?\nAnswer: -0.001004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -5\/4*x**4 - 12*x - 5\/2*x**2 - 9\/4*x**5 + 25\/6*x**3 + 0. Find m such that w(m) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5681*p + 83340 - 25673 = -36585 - 201160 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*(0 + sqrt(1053) + -1) - ((3 + sqrt(1053))*5 + -4)**2))*2.\nAnswer: -52886 - 1962*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002105 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31e7 (base 16) to base 4.\nAnswer: 3013213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 + 3 - 3)*(b + 0*b - 2*b) + 2*b**5 - 4 + 4 + (-2*b**2 - 1 + 1)*(0*b**2 + 0*b**2 - 2*b**3) - b**5 + 3*b**5 - b**5 - 13*b**4 - 10*b**5 + 13*b**4.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 116536?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.99 - -55. Let b = 0.01 - t. Let z = -24.5 - -24. What is the second smallest value in b, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(6) + 1*sqrt(6)*-3) - (sqrt(66)\/(sqrt(77)\/sqrt(7)) - sqrt(6) - sqrt(6)))\/((sqrt(288)*1 + sqrt(288))*-2*4).\nAnswer: -sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50774741 to the nearest integer?\nAnswer: 7126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(-12)\/72 - (-38)\/8?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 - 6*y + 5. Let h = 7 + -14. What are the prime factors of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -21705?\nAnswer: 282165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -529*u**6\/30 + 137*u**4\/6 + u**3\/2 + 18*u. What is the third derivative of q(f) wrt f?\nAnswer: -12696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:22 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/220 and 71\/280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 234. Calculate s(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000678679 to seven decimal places.\nAnswer: -0.0000679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 7 - (-3 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 229, 1\/41, 18, 0.03?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 0.53 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 21*f**2 - 27*f + 215. What is x(20)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 1.012. Let t = -0.12 - b. Round t to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from bhmmdhdmmnhvndnnhh?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 12*i + 16. Let r be m(-11). Suppose -r*d - 2 + 27 = 0. Calculate the highest common divisor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 77. Suppose -a*i - 8 = 0, u = 2*i + 9 + 24. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:54 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 87 - 339. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1353?\nAnswer: -4\/1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + (-48 - -58) + (-2 - -5 - -45)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 841897501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 39.8. Let s = y - -18. Is s < -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 l when three letters picked without replacement from {l: 6, q: 9, y: 2}.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*a - 3*r, 0 = -3*a + 14*r - 15*r + 47. Calculate the remainder when 934 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750386 and 1736.\nAnswer: 3001544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 3897876?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 4 (c) 2\/5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*m - 16622 = 0, 3*k - 24968 = 19*m - 18*m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024702.\nAnswer: 2, 7, 53, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 8. Let d(m) = -m + 27. Let b be d(22). Let n(q) = -q - 7. What is b*n(k) - 4*j(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*r + c, -4*r = -6*c + 3*c + 23. Let m(s) = s**2 + 2*s. Determine m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -351 at least -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597369.\nAnswer: 7, 277, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/15)\/(1*-1). Suppose 0*v + 2*v = -y*z + 2220, 3*v - 1102 = -2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m - 28. Let t(r) = -r + 0*r - 6*r + m*r. Let k(v) = 7*v**2 + 13. Let c(q) = 3*q**2 + 6. Let l(x) = 13*c(x) - 6*k(x). Calculate l(t(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, e: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 4\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144787*n**2 - 1 + 1 - 145333*n**2 + 435450*n**2 - 145329*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:10 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52269 and 119700.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 + 25 + 4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uugg when four letters picked without replacement from ggggguuugg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.006 and 4755231867.\nAnswer: 4755231866.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*u - 200*u + 369*u - 37632 = -215*u for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 102991875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-2\/31)*f**(-3)*f\/(f\/f**(1\/2))*f assuming f is positive.\nAnswer: f**(-89\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17847551263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*f + 101, 814*r + 5*f = 812*r + 75. Calculate the remainder when 2 - 1*(-202)\/2 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by ((-5)\/2)\/(19\/(-190)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13814031.\nAnswer: 3, 7, 11, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 704859.1 minutes in seconds?\nAnswer: 42291546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h*h**7)\/(h*h\/(h**1\/h)*h\/(h\/h**(4\/3))))\/((h*h**(-1))**(17\/4))**8 assuming h is positive.\nAnswer: h**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3*v - 4*v)*(-4*v**3 - 5*v**3 + 3*v**3 - 5*v**3 + 2*v**3 + 2*v**3 + (4*v**2 + 0*v**2 - v**2)*(1 - 1 - 2*v)).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(10\/(-36)))\/(1653\/(-2755))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-527 - -517) + 1*(-68)\/(-7). Let c = -78 + 142. Put c, s, -5 in decreasing order.\nAnswer: c, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 20, -29*r + 25*r - 7492 = 4*a. Do r and -1879 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27329.7 rounded to the nearest one hundred?\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*z = 75574 - 74764 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - y - 10. Let h be s(-3). Suppose 4*c + h*d + 74 = 1386, 2*d = -4. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, -2\/5, 366, -1, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, 1\/6, 2, 0, -3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.2. Let v(o) = -o**3 + 7*o**2 - 9*o. Let t be v(5). Let m be (-5)\/(-6)*t\/(-100)*6. Which is the nearest to m? (a) -1\/2 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 317\/536 + -48\/67. Put 0.0027, b, -4, 1\/5, -0.4 in decreasing order.\nAnswer: 1\/5, 0.0027, b, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(1 - 3 + 3)*(-2 + 23 + 1)*(2 + 1 - 4)*(-31*a - 35*a - 5*a).\nAnswer: -1562*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:36 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, g: 2, z: 10, o: 3, t: 1}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 143, 331, 605, 971, 1435, 2003, 2681?\n\"Answer: y**3 + 34*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 2, s: 3, k: 6, h: 3}. What is prob of picking 1 h and 1 k?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 146 (b) -0.07 (c) 1839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + 4*w + 2. Let z be v(-2). Let r(i) = 3*i**2 + 5*i - 137. What is the tens digit of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/(-12) + 4\/6. Find the third derivative of 7*d**2 - d**y - 8*d**6 + 3*d**6 wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f - 0*f. Let r be f\/(1*1\/(-2)). Solve -8 = -4*b + 4*m, 0 = -b - 3*b + r*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -3214989635172.\nAnswer: -3214989635171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -1 + 1 + 0. Let c(v) = 3*v**2 - 21*v + 12. Let k(o) = -o**2 + 7*o - 4. Suppose 0 = -0*a - 5*a - 55. Let r(h) = a*k(h) - 4*c(h). Calculate r(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*o + 1 + 241*o**3 - 22*o**2 - 429*o + 12*o**2 + 9*o**2 to t*o**2 + d + w*o + f*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/4 - 41*y**3\/4 + 141*y**2\/4 + 369*y\/4 - 297 = 0?\nAnswer: -44, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 235 = 1085. List the prime factors of 1197\/(-2)*a\/99.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 476, 1688, 4050, 7946, 13760, 21876?\nAnswer: 32678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 102 - 3. Let r be (-1)\/((-18)\/n + -1). Calculate the highest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 41*i. Let y(w) = 4*w. What is y(c(s))?\nAnswer: 164*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8670852*q**4 - 4152350*q wrt q.\nAnswer: -104050224*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320369?\nAnswer: 3, 67, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/120 + n**5\/10 - n**4\/8 + 2*n**3\/3 + n**2. Let c be 4 + (2 + -5 - -3). Is u(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 0.01. Which is the closest to -1\/4? (a) 2\/5 (b) -2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/630 and 2\/(-4)*(8891\/1190 - 9).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*m**3 + 189*m**2?\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/4, -8, 0.1502 in descending order.\nAnswer: 1\/4, 2\/9, 0.1502, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let s = 4686 - 51544\/11. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 1. Let t be l(5). Let g = -1.6 + 1.2. Let x = g - 0.6. Which is the second smallest value? (a) t (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 148, 222, 298, 376, 456?\n\"Answer: x**2 + 69*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 507\/5. Let r = 47.1 + -47. Is u not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 1085500?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*i**2 - 33*i**2 + 22*i**2)*(-3*i + i + 3*i) - 18*i**3 + 24*i**3 + 48*i**3.\nAnswer: 76*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16703 divided by 1\nAnswer: -16703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710888855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6612 by -3.\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5. Let j be (-17)\/(-4) + 1\/(-4). Suppose 0 = -0*v - v - j. Let p(z) = -z - 1. Let o be 8\/(-24) - (-6)\/(-9). Calculate o*g(q) + v*p(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9081.941us to nanoseconds.\nAnswer: 9081941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 37 = -19. Suppose s - 43 = -3*x, 0 = -s + f*x + 35 + 8. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-42) - 6\/(-18). Let b = -317\/15 - -21. Let f = -29\/12 + 8\/3. What is the closest to -1\/3 in f, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 9*s**2 - 7*s + 8. Let i be j(-8). Let q be (0 + 3)\/(1 - i). Solve 0 = -g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w + 2*n, 5*w - 9 = 2*n - n. What is the smallest common multiple of 25 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(0*c + 4*c + 13*c) - 5 + 2*c + 5 + 3*c + 2*c - 3*c in the form r + k*c and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -5*s**3 - s + 8 + 7\/2*s**2 + 9\/4*s**4. Suppose d(o) = 0. What is o?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -1338?\nAnswer: -26.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -61*h**5 + 11*h**3 + 62*h + 11. Let z(l) = 20*l**5 - 4*l**3 - 21*l - 4. Let x(r) = 4*v(r) + 11*z(r). Find the second derivative of x(y) wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15868245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 15 + 11641*h**3 - 5 - 1.\nAnswer: 11641*h**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.3659 + -13.43. Let m = 47.0641 + d. Let r be (-22)\/26 - -1*1. Sort m, r, 3\/5.\nAnswer: r, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*c + 13, -2*c + c - 1 = -w. Let o = -338708 - -338740. Put -2, c, o, -4 in descending order.\nAnswer: o, -2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 25 = 4*v, 2*o + 4*v = -10. Let k(t) be the second derivative of t**4\/12 - 4*t**3\/3 + 3*t**2 - 49*t. Calculate k(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 3 - -2)*(3 - 0). Let n(q) = 2*q**2 - q + 1. Let x = -38 - -40. Let u(l) = 8*l**2 - 5*l + 5. What is g*n(p) + x*u(p)?\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8517, -17036, -25553, -34068, -42581?\nAnswer: -51092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10) - (-553787648)\/(-80). Let o be (s\/15)\/(2\/6). Let n = o - -534469. Round n to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.1, -14, 2\/13, 24, 0.1 in descending order.\nAnswer: 24, 2\/13, 0.1, -0.1, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4166, 8423, 12692, 16979, 21290, 25631, 30008?\n\"Answer: x**3 + 4250*x - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/11268 and 71\/404.\nAnswer: 1138068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 15*b + 378 = 0. Suppose 30*u - 148 - 572 = 0. Calculate the greatest common divisor of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g + 1. Suppose 5*a + 2*x + 35 = -0*x, -2*a + 5*x + 15 = 0. Let w(o) = 7*o**3 + 5*o + 4. Let u = 1350 + -1349. What is a*i(d) + u*w(d)?\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goqlqilc. What is prob of picking 1 g and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -453 divided by 3\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 729880692 a multiple of 7024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18*2)\/((-10)\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*h - 2764 = 0, 5*h + 2185 + 597 = 4*r. What is the highest common divisor of r and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - 1363 - 2*r + 3*r**2 + 1366 - 13*r**2 - 28*r**3 in the form g*r**2 + h*r**3 + f*r + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1094.4 - 1088.4. Sort w, 3\/5, -106, 1\/6.\nAnswer: -106, 1\/6, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -794*t**4 + 113*t**3\/2 + t**2\/2 + 367*t + 1. Find the second derivative of h(v) wrt v.\nAnswer: -19056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.4 + 12.4. Let v = 23 + z. Let a = 26.058 + v. Round a to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1926139 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kdkkdgfkldkddkffkkff.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2871658 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0 + 14*y**2 + 0*y**3 + 0*y**4 + 0*y + 0*y**6 + 0*y**7 + 3\/20*y**5 - 11\/336*y**8. Find the third derivative of j(v) wrt v.\nAnswer: -660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4666831 to the power of 1\/2, to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-7 - -11))*(-3)\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 79*k + 84. What is the remainder when m(2) is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2*y + 5. Let v be p(5). Let n(d) = d**2 + d - 2. Let u be n(2). Suppose 2*s - 4 = u. Solve -b = s*b - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -29553576941 and -5.\nAnswer: -29553576946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 10, 3*r - a + 35 = -3*a. Are r and -15 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*h + 186*h - 81*h + (0*h - 3*h + 5*h)*(2 - 2 + 1) + 2 + h - 2 - 6*h + h + h + 2*h - 5*h + 0*h + (-3*h - h + 3*h)*(-4 + 0 + 3).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 6*i**2 + 90*i - 2. Let d be u(-7). Solve -3*r + 3 - d = 0 for r.\nAnswer: -1","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 nntnnnnnntttntntnn.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139311?\nAnswer: 2139311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80534698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + y = 20, 0 = -b + y - 66 + 56 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g. Let x be (4\/3)\/(((-33)\/(-9))\/(-11)). Let q(i) = 11*i - 2. Let v(y) = x*c(y) + q(y). Calculate v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1065 - -1976. What are the prime factors of d?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and 107\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d. Let q = 306 - 516. Let g be (1\/3)\/(q\/108 + 2). Solve d = -2*z + 2 + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 114*o**3 - 1774*o**2 + 3942*o + 5832.\nAnswer: -2*(o - 27)**2*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - -1) + 1894 + -1911.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 85. Calculate the greatest common factor of l and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 6, r: 7}. Give prob of sequence rru.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*u - u. Let y = 34 + u. Let o(f) = -22*f**3 + f. What is the remainder when o(-1) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1848857 and 34.\nAnswer: 62861138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148 a factor of 1547685552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 times -14196?\nAnswer: 8276268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6310380.238 rounded to the nearest 1000?\nAnswer: -6310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:53 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 23 = -g + 5*j, g - 2*j = 2. Suppose -2*i - 10*u - 31 = -5*u, 4*i - 4*u = g. What is the fourth biggest value in 2, i, 0.3, 1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302111 - 110?\nAnswer: 302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/((1 + -2)\/(-6)). Let p(n) = 4*n**2 - n - 1. Let t be p(-1). Let a be (-51)\/12 + 1\/t. Are x and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -51.6. Let j = b - -3.3. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10 - (264\/10)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by -3\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -943, -990, -1077, -1210, -1395, -1638, -1945, -2322?\n\"Answer: -r**3 - 14*r**2 + 2*r - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1526 and 173278?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.233 (b) -5706 (c) 2\/7 (d) -5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8155 or 8806?\nAnswer: 8806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 682 - 696. Let y = 24.9 - 24.4. Is i less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24610742119439 + -0.1.\nAnswer: 24610742119438.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-813)\/(-271)*-2*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 4*t + 609. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891\/2*t**2 + 447*t - 3\/2*t**3 + 0 = 0. Calculate t.\nAnswer: -1, 0, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, y: 1, i: 1, u: 1}. What is prob of picking 1 y, 1 s, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153856008 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2079227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126.958 + -127. Let w = -896109.95800058 - -896110. Let c = w + r. Round c to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 17*i + 3733 + 1114 = -157*i for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 115 in ascending order.\nAnswer: -5, -4, 1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -847965 (base 14) to base 4.\nAnswer: -101011012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5. Let v(m) = -4*m**2 + 27. Calculate -11*t(g) + 2*v(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23169\/65 or 357?\nAnswer: 23169\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5 - 16*h**4 - 6720*h**3 - 39368*h**2 + 443900*h - 397800 = 0.\nAnswer: -34, -13, 1, 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-10) - ((-42)\/(-28) + -5))\/((-2)\/(-58))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(891) + sqrt(891) + (sqrt(891) + 2)*-2 + sqrt(891)*-2*3 + sqrt(891) + 4 + 2 + sqrt(891))**2.\nAnswer: -648*sqrt(11) + 14337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4694551, 9389101, 14083651, 18778201, 23472751?\nAnswer: 28167301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757908623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 0*h**2 + h**2 + h**2 - 2. Let f be s(-2). Solve 5*d + 18 = -2*p - 0*p, 2*p + f = 3*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745429 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 e when four letters picked without replacement from {e: 9, b: 1, p: 1}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 30 - (-12 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + (5 - -1). Let m(b) = -b**3 + 6*b**2 + 2*b - 1. Let r be m(p). Let k = -0.08073 + -0.11927. What is the closest to r in k, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-16)\/(-10)))\/(116\/(120176\/(-2035))).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.886982l in millilitres?\nAnswer: 8886.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 7. Let t be v - (40\/7)\/(-4). Let o = -44 - -47. Sort o, t, -0.1 in decreasing order.\nAnswer: o, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 7*d**3 + 3*d**3 + (-2 - 6*d + 2)*(2*d**2 + d**2 - 2*d**2) - 29*d**3 - 6*d**3 + 2*d**3.\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -184. Let u = 59 + s. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*g - 4*o, -o = g + o + 3. Let h(f) be the first derivative of f**2 + 6*f**2 - 3*f**2 - f**6 - g. What is the second derivative of h(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 30. Differentiate 2 + 21*i**2 - 14*i**2 + g*i**2 wrt i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 - b - 1. Let r(g) = -7*g**3 + 6*g**2 - 6*g - 7. What is 6*m(o) - r(o)?\nAnswer: o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -19. Suppose 16*b + 915 = g*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2767 (base 9) to base 8.\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**42\/(((q\/(q*q**12*q)*q*q)\/q)\/((q**(4\/7)*q)\/q)) assuming q is positive.\nAnswer: q**(1558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6862 is divided by 181?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 + 2*z - 18. Let q be u(-8). Find the common denominator of (36\/(-48))\/(12\/q) and ((-31)\/(-9))\/((-2)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7616818 is divided by 1523325.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t - 3. Let i be w(5). Let p = -22 + i. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 54316\/21165 and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(2*sqrt(17) + -4 + (sqrt(17) - sqrt(102)\/sqrt(384))))**2.\nAnswer: -391*sqrt(17) + 10149\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 3*u + 7, k + 5 = -u. What are the prime factors of (-10216)\/k - 28\/(-49)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 78964581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2215*x + 83519 - 12639 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vnvgnnvvvvgnv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -64, -87, -118, -157, -204, -259?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(68)*2 + sqrt(68))\/sqrt(4).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85879438 or 0.1?\nAnswer: -85879438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -754 + -2?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 8*b**2 + 6*b + 1. Let s = -8 + 6. Let k be 7\/2*(s - 0). What is the units digit of x(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9356, 37498, 84402, 150068, 234496, 337686, 459638?\n\"Answer: 9381*x**2 - x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*m - 6*l, -338*l = -3*m - 334*l - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.054054\nAnswer: -0.0216216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 - 2*g**2 + 0 + 265*g**3 + 2 - 230*g**3. Determine c(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) - 74\/(-14). Suppose 5*r - o = -p*o + 120, 5 = o. Solve -28 = -2*w + 5*q, -5*w + 3*w = -3*q - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 510138*k - 1020264 = 0. Calculate k.\nAnswer: 2, 170044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -193, 4, 1, 431 in decreasing order.\nAnswer: 431, 4, 1, -20, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -1251, -2813, -4999, -7809, -11243, -15301?\nAnswer: -19983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -17*c. Let l(t) = -28504*t + 28499*t + 1 - 1. What is x(l(f))?\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -23*c**4 - 25 + 15*c**3 - 2263*c**2 - 17*c**4 + 2288*c**2. Let h(j) = 5*j**4 - 2*j**3 - 3*j**2 + 3. Let z(s) = -25*h(s) - 3*v(s). Factor z(f).\nAnswer: -5*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b*b**4)**(-1\/4))**(-44) assuming b is positive.\nAnswer: b**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -35. Suppose 0 = -5*w + 3*w - d. Let k(r) = -14*r**3 + r**2 + 2*r + 2. What is the tens digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1615*u - 38*u**2 - 3237*u + 1622*u.\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 224 times 39420\nAnswer: 8830080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 - n + 1. Suppose -2*p - 10 = 4*f, 4*p + 4 + 1 = -3*f. Calculate the lowest common multiple of y(-9) and ((-14 + -4)\/f)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16626 and 510?\nAnswer: 83130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - 0.91. Let g = 29 + -30.3. Let i = m - g. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/45)\/(2\/(-60)). Let a(x) = x**3 - 11*x**2 - 11*x - 6. Let i be a(p). Suppose -i*h = -11*h - 15. Is h at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, u: 3}. What is prob of sequence jj?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3.93, -2, 0, 3 in decreasing order.\nAnswer: 3, 0, -2, -3.93, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*x + 52 = 394 + 2430. Let -3\/7*p**2 - x*p - 123\/7 = 0. What is p?\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 53*v**5\/5 + 193*v**4\/12 - 17*v + 7. Find the third derivative of w(c) wrt c.\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 885 + -886. Let z = -68.7 - -69. Which is the closest to v? (a) -0.047 (b) -0.3 (c) 3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -14, 582.7, 1\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 4*i + 5. Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2779510028?\nAnswer: 2, 109, 6375023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (352\/(-30))\/(6\/15). Let s = 203609\/9 - 22594. Let o = l + s. Sort o, -2\/11, -2\/3 in decreasing order.\nAnswer: o, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/2 - 935*x**4 - 305709*x**3\/2 - 6399634*x**2 + 13418174*x = 0. Calculate x.\nAnswer: -1694, -89, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34328105*b**6 - 20*b**2 - 6*b + 17375 wrt b.\nAnswer: 4119372600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 14) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233324, 233329, 233334, 233339, 233344, 233349?\n\"Answer: 5*v + 233319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5348598158?\nAnswer: 2, 23, 709, 163997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4134293832 divided by 3.\nAnswer: 1378097944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 25323.\nAnswer: 1, 5, 25323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.86. Let x = -22 + 21.78. Let u = k - x. Round u to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275*f**4*o - 344*f**4 - 4512*f**2*o - 21*f**2 wrt f.\nAnswer: 6600*f*o - 8256*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let y(o) = 7*o - 8*o - 5 + j + o**2. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 + (-45)\/(-4))*(-3820)\/2865.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00352879005 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*o + o - 4*o)*(1 + 0 + 1).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4*3\/690)\/(39\/195*-1)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-13 - -10 - 6 - 10) - (-2 - -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11493125 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 20?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 3*z - 4. Suppose 0 = -5*d - 5*r + 10, -6*d + 5*r = -d - 30. Suppose d*b + 9 = -11. List the prime factors of l(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1. Let j(v) be the third derivative of v**4\/24 - v**3\/3 - 105*v**2. Determine -j(m) + q(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*c**3 - c**2 - 35*c - 18 wrt c?\nAnswer: -522*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6133 - 6112. Let f(z) be the second derivative of 0*z**5 + 0*z**2 + s*z + 0*z**4 - 1\/15*z**6 - 5\/2*z**3 + 0. Find the second derivative of f(q) wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 13) to base 12\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.882722 meters?\nAnswer: 4882722000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8*o - 270 = 0. Calculate the least common multiple of o and 138.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3041242 - -3?\nAnswer: 3041300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*z + 301*z + 593*z**2 - 603*z**2 - 25*z to the form o*z + a + h*z**2 and give o.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6072 - 47.934517?\nAnswer: 6024.065483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let k(g) be the third derivative of g**5\/30 - 5*g**4\/12 - 5*g**2. Give -10*h(z) + k(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39131437 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 220, 33399.\nAnswer: -1, 220, 33399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(8\/5)\/(s**(-6\/17)*s)*(s*s**(1\/5))\/s*s**(-1\/17) assuming s is positive.\nAnswer: s**(93\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let v = -8 - -8. Suppose v = 5*l - 3*l. Solve -4*c - 20 = l, -i - y*i + c = -20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001253568284 to seven decimal places.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -142250 rounded to the nearest 1000?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -39*u + 87 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1830*g - 480. Let v be i(3). Solve 4996 = 7*s + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -778 in 877, 15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 462301 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10255 and -0.03.\nAnswer: 307.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - o**2)*(5517*o - 4326*o + 5661*o + 384*o + 3055*o).\nAnswer: 20582*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1291\/2770 - 1\/1662. Find the common denominator of s and 25\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, u: 2, h: 4, l: 1, z: 3}. Give prob of picking 1 z and 1 l.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4519, -9035, -13555, -18079?\n\"Answer: -2*c**2 - 4510*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 6. Let u be y + 1 + (-28)\/(-7). Suppose 4*v - 1406 = -2*k, -1780 = -5*v + u*k - k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14648, -14646, -14644?\n\"Answer: 2*g - 14650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.11, -1, -1\/6?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 12:37 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**3\/3 + 7*f**2\/2 + 11*f - 13. Let y be r(8). Solve l - 8 = -0*l + 3*m, -5*l + 28 = -y*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1376, -3977, -8312, -14381, -22184?\n\"Answer: -867*u**2 - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3686*f**2 + 7*f**3 - 7374*f**2 + 3688*f**2.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 93286195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4979698 or -4979699?\nAnswer: -4979699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 9*f - 26. Calculate the smallest common multiple of 1 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 12, e: 1, a: 3, z: 2}. What is prob of picking 1 e, 1 z, and 2 a?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let n = -1.4 - 14.6. Let q = -16 - n. Is r not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -72475*j**2. Let r(t) = -3*t**2. Give r(c(l)).\nAnswer: -15757876875*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -89. Let a = 81 - o. Factor 2*u**4 + 6*u + 10*u**3 - a*u + 8*u.\nAnswer: 2*u**3*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/6, -2\/15, -0.4, -1.\nAnswer: -1, -0.4, -0.2, -1\/6, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 8:33 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-16)\/(-12)*(-3)\/(-4). Find the second derivative of -10*p + 13*p**d + 5*p + p wrt p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u + 24. Calculate y(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11447013 divided by 3?\nAnswer: -3815671","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m - 11. Let z be p(0). Let f = -10 - z. What is the units digit of (-1)\/((-1)\/12)*f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 + 47*h**2\/3 + 85*h + 123 = 0 for h.\nAnswer: -41, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 5*r - 996. What is the remainder when r is divided by 66?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let z(i) = 37122*i. Calculate z(x(h)).\nAnswer: -37122*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 144. Let r = n - -214. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41086.1mg?\nAnswer: 41.0861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5, k - 1 = b - 4. Let y(j) = 3*j**2 - 11*j + 2. What are the prime factors of y(b)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 4 = 0. Let l be (-3)\/k - 2\/(-4). Is 19 a factor of l\/(-7) - (-160)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-49))\/(44055\/6853).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/39 (b) 23.4 (c) -3 (d) 0.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-5)\/125)\/((-315)\/1050)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 6*v**2 - 15*v - 39. Determine h(-6).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b + 1. Let c(y) = 74*y - 6. Let i(u) = 102*u - 8. Let j(m) = 4*c(m) - 3*i(m). Determine 3*j(z) - 2*p(z).\nAnswer: -12*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025155 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 16) in base 14?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11017 - -2?\nAnswer: 11019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, u: 5, p: 7}. What is prob of sequence upp?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5071202 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5 + 4*x**4 + 714*x**3 + 3404*x**2 + 5336*x + 2640 = 0.\nAnswer: -15, -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(3\/16)\/c))\/(c**(1\/28)\/c))\/((c\/c**(-31))\/c**(-1\/28)) assuming c is positive.\nAnswer: c**(-3277\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 380 - 224. Suppose -7*l + 66 = 3*c, 2*l - 2*c + 5*c = 6. What is the greatest common divisor of p and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 28 = -3*t. Solve -3*a + t - 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j - 4 + 4 + 4*j. Let a(h) be the first derivative of -5*h**2 - 11 + 2*h**3 - 3*h**2 + 8*h**2. Give w(a(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2*a**2 + 2)*(-2 - 2*a + 2)*(3*a - 7*a + a).\nAnswer: 12*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1668 - 1602. Solve -61*x = -k*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*x**6 - 6*x**5 - 5*x**2 - 67*x wrt x.\nAnswer: 7320*x**3 - 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drrcr. What is prob of picking 3 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-131050*c - 1 + 0 + 130993*c).\nAnswer: -171*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/1260 + 7*n**6\/720 + n**5\/120 - 55*n**4\/144 - 25*n**3\/18 - 673*n**2. Find w, given that k(w) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 565 + -569. What is the nearest to 2 in -3\/5, q, 3\/4, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3252 - -3315. What is the highest common factor of 1827 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 23. Suppose 0*a - 9 = -5*v - j*a, -2*v + 10 = -2*a. Let n be 30\/(v\/135*1). Round n to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 + 485\/(-56) and 74\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 7) + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*u + 14 = 0, -292 = 3*j + 4*u - 294 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1492, 2, -22 in increasing order.\nAnswer: -1492, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 2*h**4\/3 - h**2 - 13*h. Let i(p) be the second derivative of p**4\/12 - p. What is a(i(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/(-63))\/(-13))\/(3\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -8716714?\nAnswer: -8716718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 1. Let j be 15\/(x + 4)*(-1)\/3. Let d be 1\/(-2)*36\/2 - j. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -291, -298, -303, -306, -307, -306?\n\"Answer: j**2 - 10*j - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*g**4 + 20*g + 7 + 73*g**4 + 80*g**4 - 100*g**4 + 68*g**4 wrt g.\nAnswer: 2532*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, t: 3, o: 4, z: 1}. Give prob of picking 4 o.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1823 + 0.1123. Let v = p + 9. Let l = v - -0.069992. Round l to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/8839 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103920 = -3926*s + 1328*s for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 182*o + 26283. Determine v(-148).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 2070*n\/7 + 18792\/7.\nAnswer: -2*(n - 1044)*(n + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((63\/385)\/3)\/((-4)\/48) and -71\/400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/d)**(5\/6)*(d*d**(-1))**49)\/((d**(2\/7))**14*(d**(1\/2))**(20\/9)) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 20721400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*z + 1548 = 0, -3842 = 5*j - 17*z + 19*z. What are the prime factors of ((-105)\/(-2))\/(2277\/j - -3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v - v - 7*v + (-v + 3*v + 0*v)*(-4 - 1 + 0) + 2 - 2 - 2*v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + (sqrt(160)*-3)\/sqrt(10) - sqrt(80)\/sqrt(5)*-3)\/(-1*sqrt(32) + sqrt(24)\/sqrt(3)*-5))**2*-4.\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let v be ((-1)\/(-2))\/((-1)\/b). Let k be -1 + (6\/(-1))\/3. Is k >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-2 - (0 + (0 - 7))) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q - 5. Let u be f(-2). Suppose -u*n = -0*n - c - 84, -3*n - 3*c + 36 = 0. Let h = n - 10. Solve h = 3*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Suppose -5*j = -5*y - 10, -y = j + y - 14. Let u(z) = -j*z + 3*z + 4*z + 4*z. Calculate k(u(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/275570 and 53\/55114.\nAnswer: 275570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-260)\/((-4)\/(-12) + -1). Let z be 1 + -6 + (-3472)\/16. Let n = z + f. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 106288.\nAnswer: 106288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 86*o + 212 - 176*o + 223 + 91*o.\nAnswer: o + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*c**5\/3 - 8*c**4 - 71*c**3\/3 - 3*c**2 + 19*c\/3 - 1 = 0. What is c?\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 10:22 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/37 in 4, 0.11, 1, -2\/5, 8?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/2 + 19*h**3\/3 + 6*h**2 + 185. What are the prime factors of r(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144017.\nAnswer: 79, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*l - 26. Solve l*w - 8 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478338 divided by 147?\nAnswer: -3254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1155 = -2*m + 1235, 6*z + 144 = 3*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3) + (-3)\/(-9). Which is bigger: m or 13\/37?\nAnswer: 13\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 116040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*z - 175 + 145, 4*w + 5*z = -50 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:33 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxzx when four letters picked without replacement from wwdzxzvdzvxxpv?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 117*z + 23. Let u be n(0). Solve 0 = 8*c + u - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 + 5 = 0. Let w = 2373 + -2379. Sort 0, w, j in descending order.\nAnswer: 0, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1 - 3 + 3 + 6*b + 0. Let w be r(-1). Let d = w - -8. Sort 1, -3, d in increasing order.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-48) + (-3 - -5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 3*b**3 - 2*b**3)*(-1 + 1 + b + (4 - 3 + 2)*(-4*b - 3*b + 4*b) - 37*b - 19*b + 2*b).\nAnswer: 62*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4594 + 13389 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 3*d**2 + 8*d**3 - 10*d**3 + 3*d**2 as i*d**2 + h*d + g + v*d**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758984733 - 0.4?\nAnswer: -1758984733.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m + 1. Let q be t(-1). Suppose 3*u = 7*u - q. Solve -4*g - u - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.1 + 25172?\nAnswer: 25001.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468)*-1 + -5)*-4 + 1*1*(-1 + sqrt(468) + 1))**2.\nAnswer: -720*sqrt(13) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426064769 by 32774213.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g**3 + 358*g**2 + 278*g - 70 = 0 for g.\nAnswer: -35, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155607042 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 773651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*k + z, 54*z = 35*z - 19 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1\/4*z**4 + z**2 + 2\/3*z**3 + 2 - 2*z. Let m be c(2). Is 9 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 2*a + 46. Calculate j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v + 3. Let r be n(6). Is (44\/(-6))\/((-26)\/r) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-72)*-28*3\/(-14).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 550*r - 1035*r - 18600 - 1285 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-175)\/(-105)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124590 + 124594. Suppose 1 = 5*q - 4. Solve q = -s - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*r + 13. Let i be (-4)\/r*(32 + -7). Let z(f) = f**3 - 3*f**2 - 18*f + 5. Let h be z(6). Solve -h*g + 2*k = -2*k + i, -4*g = -3*k + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 + 7)\/((-3)\/(-3)). Let t(j) = -92*j - 436. List the prime factors of t(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -0.93, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 3*d - d**3 + 18 - 3*d**2 + 2*d**2 + d**4 - 20 to m*d + h*d**2 + w + z*d**3 + i*d**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -8) + 7 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -31 - -10 - (-3 + 21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23849 divided by 1?\nAnswer: -23849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -16.449211.\nAnswer: -1.6449211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2767 divided by -2.\nAnswer: 2767\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15346.3 - 15350. What is the nearest to -1 in 3, 3\/4, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b - 18. Let s be y(11). Let t = s - 13. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*g**2 + g - 143*g**2 + 2 - 22*g**2 - 20*g**4 - 2*g**3 in the form l*g**4 + a*g + z*g**2 + h + x*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515677384, 515677381, 515677378?\nAnswer: 515677375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/70)\/((-4)\/14). Which is the third biggest value? (a) 4\/7 (b) -0.2 (c) u (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*6*((4 + sqrt(1584) + -2 - (6*-1*sqrt(1584) - sqrt(1584))) + 2 + -2))**2.\nAnswer: -58394880 - 221184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -100100100010110101?\nAnswer: -100100100010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {b: 1, g: 14}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 62. Which is the closest to 1? (a) 1\/5 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1482 (base 15) to base 12.\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 15. Suppose -w - g = -2, 3*q = 3*w + 18. Which is the second smallest value? (a) -1\/7 (b) q (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -31*t + 109. Let l be c(5). Let w(r) = -r**3 - 46*r**2 + 4*r + 212. List the prime factors of w(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 5:00 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503*q**2 + 218*q + 2.\nAnswer: 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1983168 or 1983167?\nAnswer: 1983168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1916, 1696, 1478, 1262, 1048?\n\"Answer: w**2 - 223*w + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 322 - 58. Let j(o) = -o**3 - 8*o**2 + 10*o - 9. Let g be j(-7). Let m = l - g. Solve 3*c = 5*k + m, -k + 4*c - 25 = -0*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/46*(-2)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 10. Let v = s - -20. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 + (0 - 4) - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -32. Let b(j) be the second derivative of j**5\/20 - j**4\/2 - 2*j**3\/3 - 2*j. Let p be b(7). Calculate the highest common factor of p and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-10)\/(-3)))\/(1602\/1780)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 4. Let b be m(-6). Suppose 0 = -4*z + 3*z - b. Let o = z + 31. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2256\/20 + (-2)\/(-10). Suppose -5*s = -c - 147. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.61547.\nAnswer: -5.53923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130865 divided by 5.\nAnswer: -26173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o + j - 5703, 5*o = j + 5707. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n - 2. Let k(y) = -y**2 - 3*y - 2. Let m be k(-3). Let i be h(m). Factor 6*s**3 + 2*s**2 - 4*s - 2*s**i + 5*s**3 - 7*s**3.\nAnswer: -2*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21900904*v**5 + 152*v**2 + 182*v - 20?\nAnswer: 1314054240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4806*b**2 + 3491.\nAnswer: 9612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 3*d, -10 = -5*t + 5*d - 30. Suppose 0 = 2*z - l - 8, -5*z = -t*z - 2*l - 22. Solve 0 = 7*u - 5*u + z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 - 5*o + 8. Let b be n(-6). Let t be ((-7)\/b)\/(3\/6). Let p = t - -9. Solve 2*w = v - p*v + 11, -5*w = 3*v - 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -162 (c) -2\/21 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {h: 2, i: 4, a: 3, y: 1, r: 5, u: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j\/(j\/((j\/(j**48\/j))\/j*j*j)))\/j)*j*j**(4\/7))**26 assuming j is positive.\nAnswer: j**(8658\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 337*i + 15*i + 8*i + 326*i.\nAnswer: 12*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 20202723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 + 2*t + 2. Let y be w(-2). Let p = y + 2. Let h be (p\/1)\/((12\/(-6))\/2). Which is greater: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -2, -5, -24, -4, -37 in increasing order.\nAnswer: -130, -37, -24, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12661503?\nAnswer: 3, 239, 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-8*2\/32)\/(3\/(24\/(-17))).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 + 2 = 0. Suppose 8*p - 11*p - 384 = 0. What is the smallest common multiple of p\/(-24) + (-2)\/6 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13698090 and 17611830.\nAnswer: 123282810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5*z**2 - 187*f**5*z + f**2 + 14*f - z**2 wrt f.\nAnswer: 60*f**2*z**2 - 11220*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 466*q**2\/3 - 926*q\/3 - 154.\nAnswer: -2*(q + 1)**2*(q + 231)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.31+29\nAnswer: 29.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 265683 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 8 = 3*a, -270 = -z - a - 262 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 - 2735*r**2 - 19430*r + 22160 = 0?\nAnswer: -8, 1, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(48\/(-18)))\/((-6)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 1, x: 1, v: 2}. Give prob of sequence wwx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64766*a + 21*a**2 + 12*a**2 - 2*a**3 - 22 - 5*a**2 - 6*a**2 + 64768*a = 0 for a.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3)*-2)**2*-1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*i + 22 = 0, 21 = -3*i + 6. Let u = -95.6 + 96. Put u, t, 0.1 in decreasing order.\nAnswer: t, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**4 - 199*d**3 - 3794*d**2.\nAnswer: 192*d - 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2284 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9113 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2147351 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 2258550?\nAnswer: 2258550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -9, 0.03, 9\/7, 36\/11?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b + 6*b + 2*b. Let u(x) = -x. Determine m(u(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3783 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3 (c) 4.2 (d) -875682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose 5*m = -5*s + 50, -4*m + 6*m = -3*s + 27. Let t be s - (-8)\/12*-6. Sort t, x, -1\/6 in descending order.\nAnswer: t, x, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73\/14 - 11\/2. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1, -1280, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 15) to base 11.\nAnswer: -2618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) -5\/2 (c) -1\/2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -139*z**2 + 32*z**2 + 28*z**2 - 30*z**2. Let o(r) = -3*r - 19. What is j(o(k))?\nAnswer: -981*k**2 - 12426*k - 39349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026072772 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**2 - 6*l - 11. Let u(z) be the second derivative of z**4\/4 + z**3\/2 + 5*z**2\/2 - 800*z + 1. Give 13*u(g) + 6*y(g).\nAnswer: -3*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let o = -6 - -4. Let q = o - -5. Let h(j) = 0 + q + j - 3. What is h(d(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c**2 - 1. Let s(z) = 6*z**2 - 1. What is -3*h(p) + 2*s(p)?\nAnswer: 51*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = 49 - 349. Suppose -12825 = o*x - 31*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 8*a**2 - 9*a - 1. Let n be j(9). Let r = 976 - 27339\/28. Is r < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -16 - 4. Solve 0 = 3*z + 5*t + 28 - u, 4*z + t = -7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2591619 and 22096962?\nAnswer: 419842278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 679.0000838 - 679. What is x rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*q + 20, -4*q - 11 - 9 = 0. Suppose f = 2*v - t + 75, -135 = 2*v + 2*v + t. Let d = 50 + v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.69, -0.5, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1094, 4398, 9896, 17582, 27450, 39494?\nAnswer: 53708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224584358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 33554.\nAnswer: -87\/33554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 28. Let j(s) = -s - 27. Let v(g) = -4*b(g) - 5*j(g). Calculate the remainder when 77 is divided by v(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200883053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 860, 784, 670, 500, 256?\n\"Answer: -3*d**3 - d**2 - 52*d + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.813 minus -0.22?\nAnswer: 5.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 13*n - 10*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o + 5. Calculate the remainder when b(6) is divided by (11 + -9)\/(12\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13946 is divided by (((-2)\/5)\/2)\/(32\/(-50720)).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-83)\/3)\/((-151)\/75 + 2)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 14*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959684427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*((-161568)\/162)\/68?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5723)\/194)\/((-26)\/(-8)) + 2\/26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2. Let f(s) = -2*s**3 + s**2 + 6*s + 4. Let l(x) = 6*x**3 - 2*x**2 - 11*x - 7. Let k(u) = -7*f(u) - 4*l(u). Give 3*h(y) + k(y).\nAnswer: -7*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149289649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (681\/(-908))\/(35640\/176*3\/(-4))?\nAnswer: 2\/405","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/133 + (18\/(-28) - -2). Which is the nearest to 1? (a) n (b) 0 (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28901 - 867197\/30. What is the common denominator of c and -113\/834?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 101, 81, 43, -19, -111, -239, -409?\n\"Answer: -f**3 - f + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3\/2, 3\/20, -0.7, -53, -0.4.\nAnswer: -53, -0.7, -0.4, 3\/20, 3\/2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = 2*a, -a + 0*v - 17 = 3*v. What is the remainder when 13 is divided by 420\/110 - 2\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 + 114. Suppose g - v = -49. What are the prime factors of 1\/(-2 + g\/126)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046808 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460700 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wum when three letters picked without replacement from yuybwmmyuwukbuyuuuu.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 + 0 = 0. What is the fourth smallest value in -0.2, 3, -1\/4, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 72 = -4*i, 5*i + 47 = 4*o - 58. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/6)\/(-19))\/((-77)\/7161)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9188\/1927 - -192\/41. Is -0.2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 - 4*p + 3. Let n(b) = 5*b**3 - b**2 + 4*b - 2. Let y(u) = -6*k(u) - 5*n(u). Is y(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6*j - j = 72, -4*j = -m + 39. What is the least common multiple of 2 and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from iccccicc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395 = -11*h + 2*f, -3*h - 5*f + 3*f - 14 - 23 = 58 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 44410*m. Let f(x) = -3*x**2. What is f(p(r))?\nAnswer: -5916744300*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1559999987 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*5\/4*-2. Let c be (34\/g)\/((-6)\/(-120)*1). Suppose i = -52 + c. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evv when three letters picked without replacement from {i: 4, v: 8, e: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-21)\/3780)\/(1\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = 3*j + 6, 1 = x + 5*j. Let b(q) = 2*q - 5. Is b(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/8*12\/9. Which is smaller: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let u(f) = -1082154*f**2. What is u(q(i))?\nAnswer: -1082154*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 10*m**2 - 9*m + 3. Let v be p(9). Let l(o) = 2*o**2 - v + o**2 + 5*o - 2*o**2. Let j be l(-7). Solve 24 = 5*y - 4*d + 8, j = 3*y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 - 173. Let x be -5 - (-1 + (5 - 9)). Suppose 8 = t + 3*t. Solve x = 5*i + t - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/5 + 2*y**2 + 2\/5*y**3 + 6\/5*y = 0. What is y?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let i = -372 - -374. Let u(f) = -f + 0*f - f**2 + 0*f**2 + 1. Determine i*u(r) + 3*h(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9*0.1252701\nAnswer: 1.1274309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 11 - 77. What is the first derivative of d + 18*i**4 - 4*i**2 + 5*i**2 - i**2 wrt i?\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7965136, 7965142, 7965152, 7965166?\n\"Answer: 2*t**2 + 7965134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95302*i**4 + 140*i + 156.\nAnswer: -1143624*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f - 17. Calculate the smallest common multiple of -2 + (0 - -3) + 3 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = 2*l. Let u = l + -10. Let j = 6 - 6.1. Which is the nearest to j? (a) u (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m + 34*m + 32 = 0. Let y(j) = 2*j + 22. Let z be y(m). Let c(u) = u. Let b(d) = 4*d - 7. Let l(o) = -b(o) + 3*c(o). Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 - (513\/(-95) - (-6)\/15) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*h**5 + 36\/11*h**2 + 0 + 16\/11*h**4 - 42\/11*h**3 + 0*h.\nAnswer: -2*h**2*(h - 3)**2*(h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*k + 1157 - 1805 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -31*h**3 + h**2 - 2*h - 3. Let d be n(-2). Let y = 415 - d. Suppose -2*z = w - 6*w + 204, -y = -4*w + 2*z. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2811*g - 12597. Give u(-4).\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456014910?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 + 5*o**4 + 2*o**4 + 3*o**4 - 3*o**4 - o**4 + (-2*o + 2*o + 2*o**2)*(-o**2 + o**2 + 2*o**2) to p*o + z*o**4 + b*o**3 + k*o**2 + s and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -237205051?\nAnswer: -1186025255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2827\/20 + 7099\/50. What is the common denominator of 39\/2 and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773274881?\nAnswer: 23, 31, 173, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*r - 17, -c - 2 = -5*r - 28. What is the remainder when 22 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*k**3 + 143*k**3 - 53 + 3*k + k + 3*k**2 - k**2 - 289*k**3 to the form g + s*k + q*k**2 + d*k**3 and give g.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150497 minus 20.4?\nAnswer: 150476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1877526*j**6 - 9134950*j**2 wrt j?\nAnswer: -225303120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 - 143616*l**3\/5 + 3437592576*l**2\/5 - 27427405299712*l\/5 = 0 for l.\nAnswer: 0, 23936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -461 + 83*n + 826 - 452 with respect to n.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let r be x(6). Suppose 3*h + 120 - 408 = 4*f, 3*f - 384 = -4*h. Suppose 0 = r*j + h - 31. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v - 52. Let h(x) = 1. Give 52*h(y) + k(y).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219726376 and 3882?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + t)*(t**3 - 1 + 1) - 20*t**4 + 10*t**4 - 24*t**4.\nAnswer: -35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and 82561499414.\nAnswer: 82561499443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 35*z + 3*z**2 + 3 + 36*z + 2*z**3. What is p(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/30 - 2*j**2. Let v(d) = -5*d**2. Determine m(v(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 275186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1642900 and -149\/7700?\nAnswer: 18071900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-75580)\/12 + -7)*3 - -6. Round v to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -275 and -281 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109\/46 - 1951\/207. Let c = -321071897489\/2620 + 122546507. Let n = 6\/655 + c. Calculate the common denominator of n and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wapv when four letters picked without replacement from {p: 1, v: 3, w: 3, l: 1, a: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {s: 7, d: 1, w: 2, c: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.129 + 0.819. Let o = c + -0.19. Let x = 5\/34 + -21\/374. What is the closest to 0 in -3, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1451697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -168.757\nAnswer: 6581.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -44d2203?\nAnswer: -44d2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 246, 245, 244, 243?\n\"Answer: -l + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/7 - 3548*z + 24838\/7 = 0. Calculate z.\nAnswer: -12419, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b + 4 = -43, 2*u = 4*b + 46. Calculate the remainder when 102 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 9*g**2 - 4*g**2)*((-3 + 5 - 3)*(-4 + 3 + 4) + 0 + 0 + 1)*(-1 + 7 + 0).\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 233, -0.5, -0.1.\nAnswer: -0.5, -0.1, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 + 5*l**3\/3 + 4*l - 37. Calculate z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16592 + 16595. Let n(m) be the third derivative of -26*m**2 + 0*m**f + 0*m + 0 + 19\/60*m**5 + 3\/8*m**4. What is the second derivative of n(i) wrt i?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 72*d + 76.\nAnswer: -4*(d - 19)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1) + 0 - 0. Let u be v\/((-3)\/(-6) - 0). Solve i - 3 = -u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2784478, -2784503, -2784528, -2784553?\nAnswer: -2784578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/7)\/a)*a)**(-2\/9)\/(a\/(a*(a*a**(1\/15)\/a*a*a)\/a*a)*a*a*a**(-3\/5)) assuming a is positive.\nAnswer: a**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 3. Let l be h(8). Suppose -4*p - 3*b + 27 = 0, -p - b + 8 = -0*b. Put l, p, 1 in increasing order.\nAnswer: l, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -189, -224, -259, -294, -329, -364?\n\"Answer: -35*x - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkj when four letters picked without replacement from {k: 3, j: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*d = -424*d + 7566 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 1690*l\/11 - 31388\/11.\nAnswer: -2*(l + 19)*(l + 826)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 1.5. Let s = h + -3.5. Let j = s - 2.9. What is the second biggest value in 4\/7, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-2\/15)*(u\/u**(31\/5))\/(u**2\/u) assuming u is positive.\nAnswer: u**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.71 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2407 is divided by 1943?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 9. Let h(l) = l - 4. Let v(r) = -6*f(r) - 13*h(r). Let u(d) = -2*d - 4. Let b(x) = 3*u(x) - 5*v(x). What is the units digit of b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**7\/420 + u**6\/30 - 23*u**5\/120 + 7*u**4\/12 - u**3 + 95*u**2 + 1. Find b such that c(b) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 6.6228, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 949*b**3 + 951*b**3 + 2 - 1903*b**3 to q*b**2 + r*b + j + s*b**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158533?\nAnswer: 59, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 113\/105*n**7 - 14\/3*n**3 + 0 + 0*n + 1\/24*n**4 - 77*n**2 + 0*n**6 + 0*n**5. Find the second derivative of d(h) wrt h.\nAnswer: 2712*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**7\/210 + y**5\/60 + y**4\/24 - 59*y**3\/6 - 46*y. Let s(m) be the second derivative of r(m). What is s(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 6*f + 5 - 5)*(0 - 1 + 2) as k + x*f and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*t**2 + 57*t + 56 wrt t.\nAnswer: 10*t + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.30583 rounded to 0 dps?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -460, -844, -1328, -1912, -2596, -3380?\nAnswer: -4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302021, -302020, -302019, -302018?\nAnswer: -302017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 977 + -902. Solve -26*p + o = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(126)*3)\/sqrt(3))\/(-3*(sqrt(24) - sqrt(6)) - (2*sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0476261 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 9*c**2 + 11*c + 13. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1 - (3 + 48\/(-15))).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21978, -87857, -197576, -351069, -548270, -789113, -1073532?\n\"Answer: 11*k**3 - 21986*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17181*z + 20822*z + 72901*z - 23480*z + 60225*z - 1.\nAnswer: 113287*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 528?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9323 + -1114. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 27*y + 20 = 0, -2*a - y + 8552 = 0. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(396) + sqrt(11))*1 + (3*sqrt(55))\/sqrt(5) + -5*(sqrt(11) + -2))**2.\nAnswer: 460*sqrt(11) + 5919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10653.1 - -10653. Let u be (-2)\/(-3) + 40\/(-6). What is the second smallest value in p, u, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100101 (base 2) to base 6.\nAnswer: -1353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*19\/(-114)*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 0, y = 3*w - 4*w + 8. Suppose -53 = -3*n - y. Let a = 15 - 9. Calculate the remainder when n is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 128. Suppose 80 = -l*r + 24. Let i(z) = z - 5. Let o be i(4). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 135 + 129. What is the remainder when c is divided by 3\/(-12) - (-21)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -674*o + 14. Let l be k(6). Find the common denominator of (-4255)\/l - 2\/(-13) and 15\/14.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4506852 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354*a**2*o + a**2*q**3 + 3*a**2 - 55504*a*o*q**3 - 2*o - 2 with respect to q.\nAnswer: 3*a**2*q**2 - 166512*a*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 4*n - 5*n + (2*n - 5*n - n)*(-23 - 16 - 1) as i*n + p and give i.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*s + 2*u + 72, 5*s + u - 108 = 0. Calculate the lowest common multiple of 2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1748 = -19*i + 15*i. Suppose 2*m - i = -2*r - m, 0 = r - 5*m - 251. List the prime factors of r.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13*(22440\/660 + 790\/(-24))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 105*b + 60 - 147 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9123? (a) 4\/7 (b) 2\/5 (c) 1\/8 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -32, -4, -65, 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - (4 + -9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32188*c**2*u + 1578*c**2 - 276*c*u + 3*c - 68029*u wrt c.\nAnswer: 64376*u + 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 56.\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1364\/992 + 9\/(-24))*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-6)\/(-4))\/(99\/(-6))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.645027 * 26.9\nAnswer: -44.2512263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -0.3. Let c = 0.2 + -0.2. Let a = -148 - -147.8. What is the closest to 0.1 in c, a, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155 - (-2)\/((16 - 4)\/(-6))?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 108 + 237 - 67 = 6*x + 3*n, 0 = -5*x + 7*n - 122 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + -0.4. Let o = 4 - 2. Let y be (22\/(-8) - 0) + o. What is the nearest to 1\/5 in w, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, m: 1, v: 1, x: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -24. Suppose -3*x + m*x = -21. Let f(k) = k + 9*k**2 - x - 8*k**2 + 3*k. Calculate f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.055 + -5.055. Let h = 0.04 + 1.96. Which is the second biggest value? (a) 4 (b) h (c) y (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265 + -263.51. Let y = -0.49 + v. Sort -6, 0, y.\nAnswer: -6, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -257460, -257458, -257456?\n\"Answer: 2*c - 257462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/821525 and -59\/230027.\nAnswer: 5750675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*p*y + 136*y - 3 with respect to p.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -16?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c**2 - 115*c + 3. Let d(r) = 124*r**2 + 700*r - 19. Determine -13*a(v) - 2*d(v).\nAnswer: 25*v**2 + 95*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or -4826\/63?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 7*z - 7656 + 7656.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 3. What is the units digit of 42\/4 + (-9)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -0.1, -260\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (66\/(-7))\/(6\/(-28)) is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**2\/7 - 126319454*q - 589490788\/7 = 0. Calculate q.\nAnswer: -2\/3, 147372697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -20\/7*x**7 + 9*x**3 + 0*x**6 + 0*x**4 + 0*x + 0*x**5 + 21 + 0*x**2. What is the third derivative of q(p) wrt p?\nAnswer: -2400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:12 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-3 + 0 - -3). Solve 22 - 7 = 3*p, -o*z + 2*p - 12 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -5*r + 6 = -g*r. Calculate the lowest common multiple of r and (-4)\/6 + 23\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -370*p - 4153. Let j be s(-12). Solve -371 = 14*c - j for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 - 4. What is the third biggest value in -3, -2\/5, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39824 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592 = 76*y + 1462 - 1470 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182.185 - -182. Let n = -0.815 + j. Put 1.1, n, -1\/4, 1 in ascending order.\nAnswer: n, -1\/4, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/5 or 2\/95?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}