diff --git "a/data/dm_maths/full_data_1/1665_11255.jsonl" "b/data/dm_maths/full_data_1/1665_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1665_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t = 1.86935 + -2.06935. Suppose 3*m = -0*m - 3. Which is the nearest to -4? (a) m (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:04 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 11. What is the remainder when p(-3) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3272*a + 3380*a + 3.\nAnswer: 108*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7881*s**3 - 7886*s**3 + 23679*s**3 - 7914*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2376511*c - 2376665*c + 11396 for c.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 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: b\"What is the dth term of 1133, 1178, 1223, 1268, 1313?\n\"Answer: 45*d + 1088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2\/23 (b) -0.1 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.3159 millilitres in litres?\nAnswer: 0.1983159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 plus 3171863770?\nAnswer: 3171863833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9317*l**3 + 5*l**2 - 5*l - 5. Let q(k) = 26082940*k**3 + 13998*k**2 - 13998*k - 13998. What is -5*q(i) + 13998*v(i)?\nAnswer: 4666*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 188\/11?\nAnswer: 188\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*o - 26 = 0, -5*v + 2*v - 5*o - 22 = 0. Calculate the common denominator of v\/(-30)*11 - (2 - 1) and -89\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(4*s - s + 0*s) + (-s + 2 - 2)*(1 + 2 - 2) + 3*s - 4*s + 0*s + 23*s + 114*s - 34*s.\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2385 - 1507. What are the prime factors of v?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7880 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f + 3*f)*(-2 + 6 + 0) - 31*f + 0*f - 13*f to the form k*f + y and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -14) + 5\/((-65)\/52)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -364 in -2\/11, 9, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 22282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 + 0.046. Round z to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -257, -97, -5 in ascending order.\nAnswer: -257, -97, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = 53*x - 840. Suppose -6 - 6 = -2*n. Suppose -74 = -n*v + 418. What is the remainder when v is divided by x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexxxxexxxxxxxxxxe. What is prob of sequence xxx?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 2575968?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14 (b) -3 (c) -0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 1 + 11. Let o = 13 + c. Let p = 21 - o. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 12) in base 5?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 3. Let w be f(-5). Suppose 3*d = -2*q - d + 18, 5*d = w*q - 27. Calculate the least common multiple of q and (0 - -24)*1\/2 - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 447 = -3*z - q, -3*z + 451 = 2*q. Is 31 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2372 (base 9) in base 16?\nAnswer: -6e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4829184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -354\/2633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 280\/216 - (-40)\/(-30). Which is the closest to 2\/7? (a) -5\/3 (b) w (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u - 170. Give m(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003331468517 to seven dps.\nAnswer: 0.0033315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37089 and 585?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fyfffyyfff.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.3604 years to decades.\nAnswer: 21.23604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5535, -21746, -48309, -84852, -131003?\n\"Answer: 62*x**3 - 5548*x**2 - x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g = 17*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 22*g**2 + 62*g + 17. Let b(q) = -5*q**2 - 16*q - 4. What is -9*b(v) - 2*d(v)?\nAnswer: v**2 + 20*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -8. Let m(x) be the first derivative of -x**3\/3 + 5*x**2\/2 - 3*x + 1. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 d when four letters picked without replacement from dooddooodooddodo.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 6*w - 73. Let u = -38 + 42. Solve u*x - 4*i = -w - 2, x + 17 = -3*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2 - 18\/8). Let x(g) = -g**2 - 13*g - 14. Let s be x(i). Suppose 0 = h + 5*o + 32 - 5, -3*h - 4*o = s. Sort h, -3, 0 in descending order.\nAnswer: 0, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/1989*10 + ((-1480)\/(-136) - 11)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:21 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {w: 2, a: 1, j: 3, n: 2, h: 2, z: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286)\/(-39) - 100\/(-60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 186\/66 - (48\/(-22) + 2). Let r(a) = -4*a**2 + 1. Let d be r(-1). Let k = d + b. What is the smallest value in -1, -0.5, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/5 - 424716*n\/5 - 30610656\/5.\nAnswer: 6*(n - 70858)*(n + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 862 and 4?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.235 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 5*i - 8*i + 3)*(49 + 17 - 1).\nAnswer: 65*i + 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210011 - 21021?\nAnswer: 101111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71978 - -71899.078. Let w = 0.078 - l. Which is the second smallest value? (a) 3 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1886*x**2 + 123. Let s(o) = -77*o**2 - 5. What is 5*c(b) + 123*s(b)?\nAnswer: -41*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32587?\nAnswer: 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**3 - 840*l**2 + 28028*l - 231192 = 0.\nAnswer: 13, 26, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -41\/2. Let k = -5 + 11. Let d = -4 + k. Which is the smallest value? (a) d (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 1\/18*z**4 + 12*z + 1\/180*z**5 - 3\/2*z**3 - 1\/540*z**6 + 0 + 0*z**2. Let v(a) be the second derivative of j(a). Factor v(y).\nAnswer: -2*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -480\/7?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqffqqvqffffqqfqqfq. What is prob of picking 4 q?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvnkzxzzkuvz. Give prob of picking 1 x and 1 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 + 3*f**3\/2 + 6*f**2. Let y be -1 - (1 + -2 + 0). What are the prime factors of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o - 42. Let y be t(-8). Let p = 1 - -3. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.76096 decades to years.\nAnswer: 887.6096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*k + 14 + 8 - 422*k in the form v*k + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -363572.75 rounded to the nearest one thousand?\nAnswer: -364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 27816 + 35184. Round r to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527614.\nAnswer: 2, 11, 23, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 1. Let g be h(1). Let s(c) = -c + 2. Let r(o) = -1456 + 718 + 727 + 5*o. Determine g*r(x) + 11*s(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21358\/(-236) - -61 - -1*23\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k - p, 5*k + 34 = -3*p + 66. Let o(a) = a + 3. Determine o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100203 (base 4) in base 3?\nAnswer: -21001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from gcwwkrwrkgknr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - ((3 - -33) + -46 - (1 + -20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*s + 22*s + 43*s.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 11, c: 3, t: 1}. What is prob of sequence cuu?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/3)\/(12\/18). Suppose -t*l + 20 = 4*p, -8*p - 55 = -3*l - 3*p. Solve -4*s - 5 = -u, -2*u - s + l = -0*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10500, -20195, -29892, -39591, -49292, -58995, -68700?\n\"Answer: -b**2 - 9692*b - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 24 = -4*d - 5, -6 = -3*d + 5*u. Suppose 0 = 2*y - d*i + 4*i - 589, 4*y = -4*i + 1208. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 200*s**2 - 720*s + 615. Find the first derivative of u(i) wrt i.\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1)*(-1 - -2). Let g = -317 + 318. Which is the closest to g? (a) -1 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*b = -11, -6*b = -352*q + 348*q + 12. Let l(v) = 16*v + 52. What is l(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*(5 - 125). Let y be a\/(-45)*114\/(-4). Let u = 42 + y. Solve -c - 16 = u*q, 4*c - 2*c + q = -11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + -5 - (-7 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 698*h + 133. Let o(n) = -15*n**2 - 2791*n + 499. Let v(i) = 3*o(i) - 11*t(i). Find the first derivative of v(l) wrt l.\nAnswer: -2*l - 695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 32 = 3*r. Calculate the least common multiple of r and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 652 + 631 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 i when three letters picked without replacement from {x: 1, l: 1, s: 1, a: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4479 - -4492. Sort 4, -44, v in decreasing order.\nAnswer: v, 4, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 3978?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442690 divided by 967.\nAnswer: 442690\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*j = 3*r + 9, -r + 4*j + 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/9 - -22\/45. Which is the nearest to -0.7? (a) 4 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 241361 - 625239 = -46*x. List the prime factors of x.\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weew when four letters picked without replacement from wwewweww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123739511.\nAnswer: 3, 43, 8711159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 8. Let i be q(8). Suppose d - 3*p = -21, 2*d + i*d + 7 = -p. Let t(r) = -2*r - 5. Calculate the remainder when 19 is divided by t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/3 - 3526*y**3\/9 - 6602*y**2\/3 - 10466*y\/9 + 1940\/3 = 0.\nAnswer: -582, -5, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23959744 and 0.\nAnswer: -23959744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 32142411?\nAnswer: -32142421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170989 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906 is divided by 492.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose 0 = s - 0 - 2. Let y(r) = -r**s - 2*r + r**3 + g + 0*r**3 + r. Determine y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1) - 1)\/(2 + -3). Let n be ((-6)\/(-4))\/(2\/(-12)). Put w, 0, n in increasing order.\nAnswer: n, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 59, -4.\nAnswer: -4, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Which is the nearest to 3? (a) 2\/9 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 442, 457, 488, 541, 622, 737, 892?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099326350?\nAnswer: 2, 5, 59, 372653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/(-5))*(-81)\/135?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) 0.12342 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*z + 3*x, 9*x - 10*x - 37 = 5*z. Let h(j) = 22*j + 154. Let y be h(z). Solve y = -13*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*q - 14 = -q, 5*l + 5*q = 55. What is the remainder when 70 is divided by 6\/(1 + 1) + l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*-2*sqrt(77))\/(sqrt(7) - (sqrt(7) - (sqrt(77) - (sqrt(77)*-2 + sqrt(77)))\/sqrt(11))) - (-3 + sqrt(110)\/(sqrt(50)\/sqrt(5))*-6)) + -2)*-4)**2.\nAnswer: 224*sqrt(11) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 183 = 2*m, 5*m - 2*m + 5*i = 282. Let x = 106 - m. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000375290809 to six dps.\nAnswer: -0.000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*c*c*c**2*c)\/c)*c)\/(c*c**(-6)))**26\/((c**(1\/10)*c)\/c**(-6\/7))**(-1\/5) assuming c is positive.\nAnswer: c**(9237\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:47 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 + 11*t - 3. Let j(d) = -26*d**2 + 56*d - 16. Determine 16*f(w) - 3*j(w).\nAnswer: -2*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16725262.1 rounded to the nearest ten thousand?\nAnswer: -16730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 33.3. Let b = p - 3.2. Let x = -1.90021 - b. Round x to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 21 = -8*h. Let g = h + 37. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 6*p + 4*p. Let x(t) be the third derivative of 6*t**2 + 11\/24*t**4 + 0 + 0*t + 0*t**3. What is j(x(n))?\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 6*t - 8*t + 5*t - 8*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-234)\/45)\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -913, -1807, -2701, -3595, -4489, -5383?\n\"Answer: -894*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.96, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3*l**8\/28 - l**4\/3 - l**2\/2 - 22*l. Find the third derivative of u(q) wrt q.\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 + 5 = 0. Suppose 0*g = -4*g - x. Let n be (7 - (2 - g)) + -4. Which is the smallest value? (a) n (b) 2\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 9}. Give prob of sequence ppp.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -340, 43, 1106, 3197, 6664, 11855?\n\"Answer: 58*j**3 - 8*j**2 + j - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1188, 16, 0.1, 0.4, -1.4 in descending order.\nAnswer: 1188, 16, 0.4, 0.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -126? (a) 2 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28041846121561184551.89999879 - 28041845746445799422. Let v = i + -375115384908. Let l = -221.9 + v. What is l rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (3 - 7) - 4\/6*-3. Let v be 3 - 0\/(3 - 0). Let t(l) = l - v*l**2 - l**2 - 1 - 2*l**3 + 2*l**2. Calculate t(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003450884623 rounded to five dps?\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -97, -143, -187?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 434467442 - -6.511.\nAnswer: 434467448.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/1)\/7 + -1. Is z bigger than -1\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 30 + 6 = 0. Suppose v - 5*r + 2084 = l*v, 4*v - 2786 = -3*r. What are the prime factors of v?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011c (base 14) in base 15?\nAnswer: b6ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 6*h - h. Let y be g(1). Suppose 0 = -4*o - 5*c + 261, -c - 141 = -y*o - 0*c. Calculate the highest common factor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -562, -547, -518, -469, -394, -287, -142?\n\"Answer: w**3 + w**2 + 5*w - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.78 - -0.22. What is the second biggest value in 5, a, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a37b5 (base 12) to base 9\nAnswer: 1723112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 8, m: 2, d: 4, h: 2}. Give prob of sequence de.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 8033*p**4\/4 - 870*p**2 - 2597. What is the second derivative of y(h) wrt h?\nAnswer: 48198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/31 + 11\/155. Let f be (-114)\/(-209)*33\/6. Which is the third biggest value? (a) -0.2 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -59*x + 29. Give a(3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -660649211*s - 323730836?\nAnswer: -660649211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/7 - 3449520*k**3 - 97176728028228*k**2\/7 - 130360799076375798016*k\/7 - 391081522639227099114\/7 = 0.\nAnswer: -4024439, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127\/45 - -13\/5. Let q = -9.6 - -9.1. Put 0, k, q in ascending order.\nAnswer: q, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1352 and 46982?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/14)*k\/((k*k\/((k\/(k\/(k*k*k**(33\/2))))\/k))\/k) assuming k is positive.\nAnswer: k**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 620 = 21*y - 2*y. Calculate the greatest common factor of 7220 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 7*b**4\/2 + 6095*b**3\/2 + 661413*b**2 - 854560*b + 190096 = 0.\nAnswer: -436, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 916140*s = 916131*s + 169, -s + 65 = 2*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/20 - (-5 - (-4527)\/(-90)) is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283376 + -252487982\/891. What is the common denominator of f and -37\/209?\nAnswer: 16929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 80*s + 729. Determine o(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301489 or 301488?\nAnswer: 301489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -57. Let l(i) = -17*i + 9. List the prime factors of l(z).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-6)\/4) + (-68860)\/(-132) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 1. Let x(a) = 5*a. Let c(b) = -b. Let r(j) = -6*c(j) - x(j). Calculate 9*r(g) - 2*y(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 91\/(-49) + 54\/63. Suppose -3*q - 2 = -5*q. Let x be 11 - 2\/(q + -3). Calculate the highest common factor of x and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.825669 millilitres?\nAnswer: 0.000825669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddi when three letters picked without replacement from {r: 1, i: 5, b: 5, d: 2, e: 3, v: 4}?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*b + 22 = 0, i + 3*b + 4 = -0. Let j be -1*(-2)\/6*4. Let t = 61 - 60.9. What is the nearest to t in i, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from xxfycbcwcywb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(1 - 2*-3). Let c = -0.1684 - -0.1784. Let r = 0 - 0.2. What is the third smallest value in k, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31485 is divided by 10445?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:00 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95696298*h**3 - 4107432*h**2 + 13 wrt h.\nAnswer: -574177788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 26. Let j be (15 + 1 - 8) + -2. What is v(j)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3779889 divided by -1259963\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.5 + -23. Which is the nearest to -2\/3? (a) r (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 5, x: 3, p: 3, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = 5*w + 5, -2*w = -4*h + 6. Suppose -2*o - 3*a - 50 + 291 = 0, h*o - 242 = -2*a. What are the prime factors of o?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s + 65. Let y(u) be the first derivative of u + 2896. What is -2*n(t) + 130*y(t)?\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -4.5\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 + 4\/(48\/(-44668)). Is n\/(-10)*2*10\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)*f)\/(f\/f**(-2\/13))*(f**(-1\/9))**(-27\/2) assuming f is positive.\nAnswer: f**(289\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 less than or equal to 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(99)*-1 + sqrt(99))*-2)\/((sqrt(189)\/sqrt(3))\/sqrt(7) - (-4*sqrt(225) + sqrt(225))).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212126, 212124, 212122, 212120, 212118, 212116?\nAnswer: 212114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a + 0*a)*(0*a + 4*a - 2*a) + 3*a**2 - 5*a**2 + a**2 - 41*a**2 + 14*a**2 - 33*a**2.\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let m(d) = 10*d**2 + d - 1. Suppose -83 - 57 = 7*z. Let x be (-4)\/180*-10 + z\/9. What is x*m(r) + 22*y(r)?\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f. Let k(n) be the first derivative of -2 + 3*n**3 - 1 - 2*n**3 + 0. Calculate k(h(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 22301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -696, 85169, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w + (3 - 4 - 1)*(-3*w + 5*w - 4*w) + 0 + 0 + 2*w + 0 + 0 - w + w + w + 2*w)*(-4*w**3 + 73*w**4 + 30*w**3 - 31*w**3).\nAnswer: 730*w**5 - 50*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 + -42?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/259 + -500\/2331. Let q(c) = c + 7. Let p be q(-6). Let t be p\/3 - (-34)\/(-30). What is the third biggest value in -0.7, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/48 - (-6)\/16. Suppose 4*o + 15 = r, -2*r + w*o = -o - 16. Suppose -2*s + 7 = r. Which is bigger: -4\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 809122312 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 i when four letters picked without replacement from {i: 4, a: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4*z + v**3*z**2 - 6*v**3*z + 76*v**2 - 3*z**2 wrt v?\nAnswer: -48*v*z + 6*z**2 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/10 and 57\/119612?\nAnswer: 598060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -223.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590982995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1098 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 2*l + 1. Let c be f(-1). Let s = c - 3. Let o(r) = 2*r**2 - 5*r + 2. Let b be o(3). Put s, b, 1 in decreasing order.\nAnswer: b, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - (-1 + 2)) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 9}. Give prob of picking 1 i and 3 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 7 + 2*p**3 to m*p**2 + c*p + w + d*p**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1519175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269.4 + 269. Let r = -0.1 + 0.4. Which is the closest to -0.2? (a) d (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -218730624.\nAnswer: 65619187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/17 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -320, -710, -1260, -1976, -2864?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 44*u + 18*u)*(-u**3 + 3*u**3 + u**3) - 2*u**4 - 4*u**4 + 3*u**4 to f + y*u**3 + k*u**2 + i*u**4 + j*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 n, and 1 p when four letters picked without replacement from {b: 1, z: 5, p: 1, n: 1, m: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24564520 (base 8) to base 14.\nAnswer: -a162c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -8312 and -8314 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.708517 centimeters to meters.\nAnswer: 0.09708517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19068 or 16\/31?\nAnswer: 16\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14928 and 30.\nAnswer: 74640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1708963272 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39417 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.55384 weeks to days.\nAnswer: 87.87688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.94. Let d = 1.06 - o. Which is the closest to 0.2? (a) d (b) 0.4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (3 + -23 - -7)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*s**2 - 5 + 2*s - 54*s**2 - 43*s**2 to the form z*s**2 + q + a*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 981*k**3 - 7*k - 981*k**3 + 4*k**5 + (-3*k**2 - k**2 + 2*k**2)*(-3*k**3 - 1 + 1) + 2*k**5 - k**5 + k**5.\nAnswer: 12*k**5 - 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 23 = 89. Suppose j*l + 345 = 71*l. Solve x + 5*o = -3*x + l, -4*o + 6 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**8\/1008 - 2*l**7\/105 - 23*l**6\/180 - l**5\/3 - 25*l**4\/72 - 28*l**2. Solve z(k) = 0 for k.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a**(1\/3))**41\/((a**(2\/3)\/a)**(8\/7)*a**(3\/4)\/(a\/(a**1\/a))) assuming a is positive.\nAnswer: a**(11533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -4 - 3\/(-1). Let m = l + 0. Let c = m + -2. Solve 0*k - c = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 17. Let i be ((-6)\/15)\/((-16)\/10). Let h(g) = -g + 8. Let l be h(9). What is the closest to l in i, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(500) + 2)**2 - (0 + 2*sqrt(500)))*-2.\nAnswer: -3054 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15.1047, 3, 6.1 in descending order.\nAnswer: 15.1047, 6.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 22996?\nAnswer: 1149.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let c = -2 - o. What is the nearest to 0 in c, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2027 and 541?\nAnswer: -1096607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464 - -313. Let g(q) = -48*q + 5. Let m be g(6). Let y = a - m. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64\/9, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 380936?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3 + 6597*g**2 - 214*g + 11455867.\nAnswer: 9*g**2 + 13194*g - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 - 2*n**2 - n + 2. Let j be w(-2). Let f = -31 - j. What is the remainder when f is divided by 1\/(3*(-1)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/20 + 2*v**4\/3 - v**3\/3 - 4*v**2 - 9*v. Let j(z) = -z**2 + 2*z + 1. Let x be j(-2). Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 + 3*a - 3*a - 10*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 4. Let j = 125 - 112. Let b(w) = -11*w + w + j*w + w - 4 + 0*w. Calculate -2*b(q) - 3*h(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 87*s**2 + 5*s - 57. Give m(-29).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.856832 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1709901, -1709905, -1709909, -1709913, -1709917?\nAnswer: -1709921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1875*n**5\/4 - 1800*n**4 - 1578*n**3 + 288*n**2 - 12*n = 0.\nAnswer: -2, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*v - 60 = -10*v, -4*f + 224 = 4*v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.065 - -61.935. Let b = f - 57. Let x = -4 - -7. What is the third smallest value in b, -5, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -26. Let m = -2.852 + 19.046. Let y = m - u. Round y to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15303, -61294, -137939, -245232, -383167, -551738, -750939, -980764?\n\"Answer: t**3 - 15333*t**2 + t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 10*d - 10. Let m be i(11). What is the common denominator of -125\/24 and m\/(-4) + (-1 - 4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k + 13. Let o be h(4). Suppose 5*j + 12584 = 2*p - 1949, 4*p + o*j - 29051 = 0. Find the common denominator of -9\/7 and 8\/28 + (p\/(-84))\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 379*y + 2. Let i(o) = -6*o. What is n(i(f))?\nAnswer: -2274*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3151, 3235, 3307, 3361, 3391, 3391?\n\"Answer: -x**3 + 91*x + 3061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55041704 to the power of 1\/2, to the nearest integer?\nAnswer: 7419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.9284 millilitres in litres?\nAnswer: 0.1779284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439 + -423. Suppose 4*z - 5*d - 18 = 0, -14*d + 9*d = -3*z + l. Solve 3*i - 3*p + 11 = z*i, 9 = 3*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3550 + 3555. Let l be 1\/((4\/3)\/4). Suppose -2*w + l*p + 2902 = -w, v*w - 3*p = 14546. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313\/690 - -11\/138. Let l(y) be the first derivative of 26\/25*y**5 - h*y**3 - 1\/3*y**6 + 0*y + 0*y**2 - 6 - 2\/5*y**4. Solve l(o) = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4371588 = -4371587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2*s)*(7 - 15 + 102)*(0 + 0 + s**3) to the form b*s**4 + t + q*s + v*s**2 + o*s**3 and give b.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 85, 4 in increasing order.\nAnswer: 3, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 + 13. Suppose -k + 4*k = 5*b - 13, -4*k - 64 = 5*b. What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 2 + 88. Let y = 67 + m. Let l = -15 - -35. Calculate the lowest common multiple of y and l.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3214)\/(-21))\/(8\/(-12)). Let w = h - -229. Sort w, 1, 20\/7 in decreasing order.\nAnswer: 20\/7, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 4*c, -5*c - 49 = -5*y + 41. Suppose 0 = -3*f - w + 69, f - y = 2*w - 4*w. Let b = f + -21. Let i(n) = n**2 + n - 2. Calculate i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + h. Determine w(6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 807 and 2786255463.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, f: 1, n: 1, b: 4}. Give prob of picking 1 f and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004007518154 to 7 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0.1 (c) -13181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d - 98*d + 2 = 0, 3*s + 8*d - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -22*4\/(-20) + -4. Let x = 5\/6 - 13\/30. What is c in 0 + 0*c**3 + 0*c - x*c**4 + o*c**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**7\/280 - r**6\/120 - r**5\/40 + r**4\/8 - 7*r**3\/3 + 24*r. Let o(a) be the second derivative of g(a). Factor o(i).\nAnswer: 3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 38985315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lell when four letters picked without replacement from zzzzzzelzzzzellzlzzl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 44042525*m + 88085070.\nAnswer: -5*(m - 8808507)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.1, -5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/26 and (396\/(-32) - 0)\/(15\/4)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 1.2?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 11, 6, -43, -160, -369?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from ljdaadljd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 41*y - 20. Let c be h(9). Suppose c*o = 182 + 570. Which is bigger: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-1)*7\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 11:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904 (base 16) in base 9?\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 5978?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -571*r**6\/15 + r**5\/60 + 187*r**4\/24 + 11*r**3\/6 + 260*r**2 + 6*r. What is the third derivative of y(q) wrt q?\nAnswer: -27408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2468 divide 245366869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 75 = 137*j - 207. Let l(k) = -7*k**2 + 13*k - 1. Determine l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3))\/(15\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + 2*v)*(3 + 2 + 0) + (-1 + 0 + 3)*(-2*v + 2 - 2) + v + 0*v + 0*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94998 - 44554. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 + 3*f**3 - 5*f**3)*(-2 + 3 + 36) in the form g + u*f**3 + m*f**2 + z*f and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 4 + 1 - 334*q - 19 in the form y*q + f and give y.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*g - 199 + 55*g - 12*g**4 + 31*g**4 - 13*g**4 - 4*g**4 as p*g + k + h*g**4 + t*g**2 + i*g**3 and give k.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.69.\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5823*d**5 + 2317*d**4 - d**3 + 9918897*d**2 + 7 wrt d.\nAnswer: -349380*d**2 + 55608*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 15*z + 46. Give s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.072 - -0.528. Which is the fourth biggest value? (a) 3 (b) -3 (c) v (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvzllltlzvztvtvlll. Give prob of sequence tv.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -65. Let g(b) be the second derivative of b**3\/6 + 2*b**2 + 2*b. What are the prime factors of g(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 172*n - 1156. Let g be b(-7). Is -1\/7793 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g + 288. Calculate the remainder when 141 is divided by v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 28*d**3 + d**2 - 9*d - 9. Give y(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46682 or 46688?\nAnswer: 46688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120002 - 220021220?\nAnswer: -220211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*w**5 - 27*w**2 + 11*w + 12*w - 23*w wrt w.\nAnswer: 1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055347 is divided by 299?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 + 5*x**2 - 6*x + 4. Let w be k(4). Let s be 4\/26 + (-116)\/w. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7)*2 + (-2*sqrt(448))**2)*1.\nAnswer: 8*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 - 8*w - 5. What is g(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/29)*l)\/(l**(-3)*l) assuming l is positive.\nAnswer: l**(115\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -12, -1, -2\/3 in increasing order.\nAnswer: -12, -1, -2\/3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (1 - 1) - (-13 + 3 + 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 3*m + 0*m)*(2 - 2 - 1) + (-1 - 3 + 3)*(2*m - 4*m + 0*m) + 37*m + 68*m - 147*m to the form n + f*m and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2619 or -6475?\nAnswer: -6475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20768 - -4?\nAnswer: -20764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 0\/(0 - -1). Suppose c + 2*z = a + 6, -4 = -z. Let x be (c\/(-3))\/(1\/6). Solve t - 12 = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let h = 0.2753 - 0.2753. Put 5, 0.3, h, n in descending order.\nAnswer: 5, n, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 38)\/(1173\/414). Let f = d - -1204\/85. Let b be (-472)\/(-237) - 0 - 2. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81705 smaller than 81703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q + 71. List the prime factors of d(-29).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x - 10. Give u(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-231)\/28 - 524562\/8. What is w rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 7\/167?\nAnswer: 7\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.72460323 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 755*g**4\/4 - 3*g**2 - 17*g + 597. What is the second derivative of x(m) wrt m?\nAnswer: 4530*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**3 - 8*z**2 - 4*z + 1. Let l(g) = 7*g**3 + 10*g**2 + 5*g - 1. Determine -3*l(p) - 4*o(p).\nAnswer: -p**3 + 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*s + 138, -5*s + s = -5*i + 257. Suppose -i = 2*u - u. Let p = 132 + u. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18))\/((-15)\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l + 2*l + (6 - 1 - 3)*(-4*l + 4*l + 2*l) - 4*l + 3*l + 0*l - 8*l - 610 + 610 - 6*l - 2 + 0*l + 4*l.\nAnswer: -9*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 33944.59 centimeters?\nAnswer: 0.3394459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, e: 2, v: 6}. Give prob of picking 3 v.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 18*d**2 + d. Let t(g) = -g**3 + 19*g**2 - g. Give -2*b(s) - 3*t(s).\nAnswer: -s**3 - 21*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 548237 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*o + 2*l, -12*o + 2*l - 30 = -7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c*(c**(1\/3)\/c)\/c*c)**(-48) assuming c is positive.\nAnswer: c**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o + 28. Suppose -5*v = -12*v + 266. Let m = v + -38. What is h(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 1437234944 - 47*q**3 - 1437234944.\nAnswer: -47*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2299) - 5*sqrt(2299))*-2 + -5 - (2 + sqrt(2299) + 1 - -2*sqrt(2299)*-1)*1)**2.\nAnswer: -7216*sqrt(19) + 3864683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + 5 + (-2 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 15.04\nAnswer: -15.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 21, 12*o - 125 + 75 + 85 = 5*o - 2*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -324, -674, -1024?\n\"Answer: -350*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + r**3 + 5*r**2 + 4*r**3 + 1 - 2*r - 10*r**3. Let a(s) = 26*s**3 - 11*s**2 + 11*s - 5. Give -2*a(o) - 11*z(o).\nAnswer: 3*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 0. Let w be (-1)\/4 - (-42)\/f. Is w\/((-10)\/(-4)) - -89 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - 884\/10. Calculate the common denominator of -6*28\/d + 2 and 64\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/648 and 151\/2268.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -325553 (base 6) in base 13?\nAnswer: -c504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 77*m + 16. What is the units digit of c(62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 13*a - 15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/5040 - 7*k**5\/30 + 33*k**2. Let h(u) be the third derivative of c(u). Let w(v) = 2*v. Calculate -12*h(y) + 5*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4884 is divided by 697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 3*k**2 - 2*k + 3. Let c be o(-3). Suppose -16 = -42*n + 362. Are c and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 40?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 560327 or 558837?\nAnswer: 560327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, v: 6, e: 1}. Give prob of picking 1 e, 1 v, and 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32332331203 (base 4) in base 9?\nAnswer: -7346061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 22. Suppose -2*h = -h - p*f, -h = -f. Let h - 2\/7*o + 5\/7*o**3 + 3\/7*o**2 = 0. What is o?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -7*v + 58. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlbjqbqeeev. What is prob of sequence jbb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence parq when four letters picked without replacement from rqvapaa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3167, 4829, 6491, 8153, 9815, 11477?\n\"Answer: 1662*y + 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32026677 + -4?\nAnswer: -32026703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3172 is divided by 75.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86\/7, 2\/11, 9 in increasing order.\nAnswer: -86\/7, 2\/11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - 58. Let m = 74 - a. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q - 323. What is y(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/33)\/(1\/(-6)). Let q be (-129)\/2*v\/(-3). Suppose -2*l + 10 = 0, -2*l = 3*f - 3*l - q. What is the greatest common divisor of 144 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1333*p + 8480. Determine n(6).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1921, -4159, -6713, -9577, -12745, -16211, -19969, -24013?\nAnswer: -28337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24778 and 11986?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 20030*k**2 - 738372*k.\nAnswer: -2*k*(k - 9978)*(k - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12037, 10197, 7129, 2833?\nAnswer: -2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249396 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -53033\/10742 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2961264 by 48.\nAnswer: -61693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986151121?\nAnswer: 37, 43, 619831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-780)\/(-261))*279\/6. Let f be 2\/7 + 391236\/(-73080). Let r = b - f. Calculate the common denominator of r and 95\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1146*h**5\/5 + 931*h**2\/2 + 1044. What is the second derivative of s(z) wrt z?\nAnswer: 13752*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537826.\nAnswer: 2, 268913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32286625 divided by 3.\nAnswer: -32286625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7642068 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117447688*a*x - 5365478*x + 1 wrt a?\nAnswer: -117447688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1084 and 239022?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:41 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0 - 1\/2*a**2 + 1\/2*a**3 + 4*a - 1\/12*a**4. Let x be b(3). Do x and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 66) + -19 + -27 + 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-276)\/(-230)*(-50)\/(-3). Let q = -16 - -20. Solve 0 = 2*x - q*s + 10, 2*x = x + 5*s - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38659071.\nAnswer: 3, 11, 17, 137, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-13)*26*(-14)\/728?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(112)).\nAnswer: -8*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3, 9\/17, 3, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.87 times 696.665?\nAnswer: -8269.41355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 - 3. Let m be h(2). Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15 = m, 4*v = -3*m + 7 - 2. Let s = 3 + m. Is -3\/5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**5 - 59*s**4 + 2466*s**3 - 276412848*s**2?\nAnswer: 480*s**2 - 1416*s + 14796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005306 rounded to 6 dps?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a**(14\/11)\/a))\/a)\/a)\/(a\/(a\/a**(-22))))**26 assuming a is positive.\nAnswer: a**(6214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12887?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25110303.\nAnswer: 3, 673, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (3 - 8) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4544452 divided by 11?\nAnswer: -413132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = r - 21. Let p = r - 39. Let k = 25 + p. Is k less than -5\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or 134?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3\/4*m**5 + 3*m**2 + 3*m**4 - 9\/2*m**3 - 3\/4*m + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 1. Let p be z(2). Suppose p*a = 4*a. Solve a = -q + 4*x + 10, -x = 3*q - 0*q + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fbad (base 16) in base 5?\nAnswer: 4030204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 904*d**3 + 1 + 9*d - 2*d**2 + 2*d**4 + 0*d**4 - 905*d**3 in the form h*d**3 + x*d + m*d**4 + l*d**2 + i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 5*z - 6. Let q(x) = -337*x**2 + 687*x**2 + 5 - 350*x**2 + 4*x + 3*x**3. Determine -3*q(g) - 2*u(g).\nAnswer: -5*g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -36. Let i be 2\/(-6) - 57\/(-9). List the prime factors of (11\/(-3))\/(i\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 369 + -367. Suppose -j*m + 2*q + 6 = 0, -3*q + 5*q = -5*m + 1. What is the second smallest value in 0, -7, m, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204.2 - 204. Let d = 0.6 - -3.4. Let y = -0.01 + 2.01. Which is the nearest to p? (a) y (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/945*3 + (-2849)\/(-315)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 99. Let p(g) = -g + 1. Let u(h) = l(h) - 2*p(h). Let j be u(0). Let o = j - -26. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17222 + -2036. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097187379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33882 is divided by 1020?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let l be j(-5). Let v = -143 + 145. Let -l*m**3 - 70*m**2 + 67*m**2 - v*m**3 + 4*m**3 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1100) + 0 - 2*-5*sqrt(1100))*-3*-3)**2.\nAnswer: 12830400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-108)\/14 + (-4)\/14. Let i be z + (-4 - (-39)\/9)*0. Let h(j) = 6*j + 50. Calculate the least common multiple of 8 and h(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 21538835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from krqru.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q - 8. Suppose 1199 = 4*b + 1231. What is z(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 68 - (-11101 + 11043)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/((-6)\/18)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfffftff. Give prob of sequence ffff.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 37, -130, -297, -464, -631?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -9*f**2\/2 - 14*f + 2. Let i(a) = -2 - 5*a + 2 + 2*a - 5. Let c(w) = 8*i(w) - 3*k(w). Give c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -896 - -699.9. Let q = 225 + d. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 424750.\nAnswer: 424750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2490541 + 1400541. Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61339179 is divided by 400.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 15*w + 7. Let h be u(-7). Suppose h = -5*q + 18 - 3. Solve 0 = -4*d + q*j - 1 - 25, 4*d + 12 = -4*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1216))*-6 + sqrt(1216) + 0)*1)**2 - ((sqrt(114) - sqrt(114)*-3*-6) + sqrt(114))\/(2*sqrt(24)\/sqrt(4)).\nAnswer: -472*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211203 (base 4) to base 10.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/((-12)\/28).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/10527?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 14 = 7*d. Let n = -14 - d. Let u = 5 + -5.1. Is u smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3 + 3)*(205 - 4879*z**3 - 183 - 22).\nAnswer: -4879*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 669542669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from qqqqqquqqqqqkqr.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 6*t + 14*t)*(2 - 5 + 2).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -360365 > -360366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 6*k + 11*k + 80, -3*j - 4*k = -76 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + -230. Let i be (y\/(-9) - 3)*2*4. What is the highest common factor of i and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + 143*r. Let j(g) = -7*g**3 + 284*g. Determine -6*j(f) + 11*w(f).\nAnswer: -2*f**3 - 131*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/24 + (-361)\/(-114).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3595*n + 3460*n - 1620 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kuokk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -23 + 75. Suppose -5*u - 5*a + 105 = 0, -15*u = -20*u - s*a + 100. Solve 4*i + u = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + 11. Suppose 0*h + j = h + 3*m, m + 175 = 4*h. Let y be 43\/15 - (-6)\/h. Solve 2*o + y*o - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3\/8, -5, -1001, 0.3536.\nAnswer: -1001, -5, 0.3536, 3\/8, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*1)\/sqrt(7)*1)\/(sqrt(1296) + (sqrt(1296) - (sqrt(1296) - (sqrt(1296) + (sqrt(1296) - (-3*sqrt(1296) + sqrt(1296) + sqrt(1296)))))*5)) + 5.\nAnswer: sqrt(2)\/144 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2956047, -2956043, -2956045, -2956059, -2956091, -2956147, -2956233, -2956355?\nAnswer: -2956519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/13)*r**(-19))\/((r*r**(3\/8))\/r**(1\/19)) assuming r is positive.\nAnswer: r**(-41069\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -110\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 9*t - 14. Let i be g(7). Solve 3*x - 3*r + 7 + 2 = i, 3 = 4*x + r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 889*u**2. Let s(q) = -9*q + 2. Determine s(f(x)).\nAnswer: -8001*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*1 + sqrt(68)*2 + 3 + sqrt(17) + (sqrt(17) + 2 - sqrt(17))*-5)**2.\nAnswer: -98*sqrt(17) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let m(i) = -i**2 + i - 1. Let l(q) = 14*q**2 + 6*q - 6. Let p(y) = -l(y) + 6*m(y). Determine 2*p(d) + 18*v(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/24 + 7*y**3\/6 - 46*y**2. Suppose 0 = 2*i - 10, p + 3*i = -p + 27. Does 5 divide v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 29. Suppose 0*h + 6*h = 1008. Suppose -h = 20*n - 8*n. List the prime factors of v(n).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 371*i**2 - 1. Let t be r(-1). Let j = 9 + -5. Suppose j*d - t = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -11053110?\nAnswer: -11053111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/13 + 1412*d**2\/13 - 1414*d\/13.\nAnswer: 2*d*(d - 1)*(d + 707)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53707 from 494.3.\nAnswer: 54201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10248 by 3.\nAnswer: -3416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11458 and 16.\nAnswer: 91664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from eeeeereeeeeeeeeeeeee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12743956*f**2 - 234949*f wrt f.\nAnswer: 25487912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22046.8 - -22051. Put -10, 10\/9, d in increasing order.\nAnswer: -10, 10\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 5 (c) 34\/5 (d) -4 (e) 96 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 43*s - 1. Let n be j(3). Let u(o) = -2*o + 3 + 2*o + 19*o. Let d(y) = -816*y - 128. Let q(z) = n*u(z) + 3*d(z). Let c(m) = m. Give q(c(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjbjhzmpzzjbjjhbh. Give prob of sequence hh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q + 11. Suppose -2 = 3*a + 4*c, -3*a + 9 = -c + 16. What is w(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeej when four letters picked without replacement from ejejeejeeeejeeeeeeje.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvb when four letters picked without replacement from vbvbbbbvvbb?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -391 + 566. Suppose 4*w - n = -w. Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 68, 55, 24, -31, -116?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:41 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 13.95. Let w = v + -13.9944. What is w rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*s + 861*s + 1502*s = -424*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v + 5. Let s = 859 + -868. Give j(s).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4456364 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210022210 (base 3) in base 16?\nAnswer: -d680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 14 = 2*i, 4*i + 2*s - 6732 + 6718 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 8. Let v(b) = -92*b. What is z(v(k))?\nAnswer: 184*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.11 - 39. Let k = 0.15 + j. Let f = k + -0.2606. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.02 times -0.13694\nAnswer: -0.4135588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 8. Let k = 8 + p. Let v be -910003 - (0 + k - 3). What is v rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 32*g - 87*g + 33*g + 9*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(3 + -3 - 2). Suppose -5*o + r*o = -10. Solve m - o*m = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*n + 4 + 20, -n = -2*b + 9. Let d(q) = 6*q + 3. Let a(k) = 3*k + 2. Let p be (-18)\/(8 + -10) - 16. Calculate b*d(g) + p*a(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106938091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -845830, -2, 3 in descending order.\nAnswer: 3, -2, -4, -845830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 24 = 0. Let x = -3681.1 - -3681. Which is the nearest to x? (a) 1\/6 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15504 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*((-3 + 3 - 3)*(2 - k - 2) + 5*k - 4*k - 2*k - 2*k - k + 4*k)*(-6*k + k + 3*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7305 is divided by 107.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 7. Suppose -124 = -9*q + 2. Let d be v(q). Suppose -2*w + 2*y + 86 = d*y, -5*w - 4*y = -181. Calculate the remainder when 64 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3842 divided by -9244.\nAnswer: 1921\/4622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = -15. Let h be (-438)\/z + -3 + 3\/4. Let n = h - -62. Calculate the least common multiple of n and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 18*c - 14. Let a be q(19). Let l(b) = b**3 - 24*b**2 + 10. Let o be l(24). Solve 0*n + a*n = -o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -970, -1124, -1278, -1432?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (9 - 5 - 14) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47020 is divided by 134.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80366 is divided by 7864.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266560 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 180*g**2 - 5*g - 5. What is the remainder when f(-1) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/45)\/(6*(-6)\/210)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 378442*v**3 + 12*v**2 + 34*v + 28. Let b be k(-3). What is b rounded to the nearest 10000?\nAnswer: -10220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*1)*6*2)\/(sqrt(48)\/(sqrt(288)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3327, 6646, 9963, 13278?\n\"Answer: -v**2 + 3322*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 57\/133 + (-32)\/42\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -1006.183847.\nAnswer: -1006.183847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16562803 + 16562998.99901. Let r = a + -196. What is r rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/30 + (132\/(-15))\/(-2). Let y be ((-15)\/(-2))\/(6\/(-8)). Let x = 14 + y. Solve -w*j + x = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 509975?\nAnswer: 509975","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 279*u = -7609 + 23354 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 173. What is the nearest to 0 in 1, m, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - v**2 + 3*v + 19. Let g(a) = a**3 + a**2 - 2*a - 10. Let x(q) = -6*d(q) - 11*g(q). Suppose -16 = -7*w + 3*w. Determine x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -2*c + 1\/2*c**4 + 0*c**3 + 0 + 0*c**2. Let g = -9 + 8. Give b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 58 + 47)*(0*j**2 + 4*j**2 - j**2).\nAnswer: 318*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u + 4*s, 0 = -u + 3*u - 4*s + 4. Suppose -4*i - 2 = 6. Let m be 1 + i - 0\/1. Is m greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 712*h + 152064. Determine r(172).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 41. Suppose -2*p = -4*p + 30. Let q = p - 9. Calculate the remainder when d is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 1.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2781 or 0?\nAnswer: 2781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 10:11 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1252556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250\/273 - -605281\/676767. What is the common denominator of 17\/37 and m?\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 - 26*w - 16. Suppose -5*o - 5*i = -45, 44 = 4*o + i - 5*i. Is j(o) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:52 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = 4. Let c be 95\/(-20) - 1\/4. Put c, -2, w in decreasing order.\nAnswer: -2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*1\/(-7))\/((-27)\/1701). Solve 0 = -3*g + 3*o + a, -24*g + 4*o - 4 = -28*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1243\/288 + 3\/32. Let x be 20\/15*(76\/(-8) + -4). What is the common denominator of v and (-170)\/x - (1314\/(-81) + 16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 538, 2\/7, 4\/9, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/30 - 8858\/(-12). Suppose 5*u - 2*g - m = -0*g, 0 = u - 3*g - 145. Calculate the highest common divisor of 37 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1073967 - 1073947.40802. Let b = l - 19.6. What is b rounded to four decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -15456?\nAnswer: 1545a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v - 141. Let t be d(8). Suppose -3*o + 4 + 5 = 0, -5*o + 9 = -3*n. Suppose -4*x + 0*x = 0. Solve x = n*h - h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/21414 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m*m\/(m**6*m*m*m)))**(7\/3)*((m*m\/((m*m\/(m**(-2\/3)*m)*m)\/m))**(2\/3))**39 assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23320 (base 4) to base 7\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*k - 4*q + 7*q, q + 5 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 47*j. Let h(q) be the first derivative of 9*q**2 + 9434. Give z(h(a)).\nAnswer: 972*a**2 - 846*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -0.2, 0.1, 93090 in decreasing order.\nAnswer: 93090, 0.1, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4770209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -703 - -701. What is the nearest to 0.1 in 4, -2.8, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2670.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -20. What are the prime factors of ((-24)\/20)\/(o\/(-270))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39411?\nAnswer: 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 divided by 3?\nAnswer: 331\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 304421233?\nAnswer: -304421225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t**2 - 176*t + 1131. Let p be i(6). Calculate the greatest common divisor of p and 6976.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 8*x - 54 = 0. Suppose 0 = 22*p - x*p + 75872. Is (7\/28)\/((-2)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0377 + -2552\nAnswer: -2551.9623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) - (2 + (sqrt(147) - (-4 + sqrt(147)))))**2*-4.\nAnswer: -2016*sqrt(3) + 4392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 842 + -1033. Let g = a - -187. What is the second smallest value in 252, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2385802547 to the nearest integer?\nAnswer: 48845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270 + -269)\/(112\/37 + -3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.5. Let o = 0.6 + k. Let d = 3.9 + o. What is the smallest value in -2\/9, d, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047293633 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32336 * 0.5.\nAnswer: -16168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11030*f - 2511. Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20739240 and 1536240.\nAnswer: 41478480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114361?\nAnswer: 13, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409641 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 125040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -615\/28 or -21?\nAnswer: -615\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xskyskkyky. What is prob of sequence ysyx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, j: 1, b: 4, y: 1}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -4, 3\/8, 30, -0.2, -2\/1989?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 5\/5*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106379\/5 - 21275. Suppose 8\/5*j - b*j**2 - 23\/5*j**4 - 6*j**3 + 0 - j**5 = 0. Calculate j.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -221.72 and -6?\nAnswer: 1330.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1308a11 (base 11) to base 16.\nAnswer: 2295d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/5251 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44295, 88469, 132643, 176817?\nAnswer: 220991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 382 = -8*d + 4*w, 4 = 4*w. Calculate the highest common divisor of 56 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784 divided by 6?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/3 - 6070*n**2\/3 - 12146*n\/3 - 6074\/3 = 0 for n.\nAnswer: -1, 3037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 94 - 105)*(-l**3 + 3*l**3 - 4*l**3) in the form a*l**3 + s + g*l**2 + y*l and give a.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 26*t**2 - 1. Let r be w(1). Let f be 17928\/(-792) + 4\/(-11). Let i = f + r. Solve 2*q - 16 = -i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12413 (base 5) to base 16\nAnswer: 3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + -4*sqrt(162)*-1 + sqrt(162))\/(((sqrt(99)*-2 - sqrt(99)) + sqrt(99))\/sqrt(11)))\/((-2*sqrt(150) - sqrt(150))*4*-1) + -5)**2.\nAnswer: sqrt(3)\/2 + 10003\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288191?\nAnswer: 288191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9221896 is divided by 465?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {f: 7, m: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -76 + 42\/28*4\/6. Let k = -74 - s. Solve -k + 0 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -4, 0.02, -26.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792 - 3*y + 15*y + 437 - 2*y - 8*y.\nAnswer: 2*y + 1229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5643*p - 361 - 5107*p + 361.\nAnswer: 536*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 391, -13, -261?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 126 - 270 = 0. Suppose -v + 5*u = -24, 0*u = -4*v - u + 33. What is the remainder when 1\/(-2) - g\/(-6) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 180. Let b = 452 - 440. Calculate the greatest common divisor of d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -4)\/((-2)\/(-10)). Let s(p) = p**3 + 7 + 1 + 9*p - 15 + x - 9*p**2. What are the prime factors of s(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2873067 - -2873478.9618. Let r = -120 + -292. Let p = r + a. Round p to 3 decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + z - 10 = -10*o, -3*o = 3*z - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:30 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/(-11) + -15 - (-67 - -1)\/2. Let z be (-726)\/9*9\/(-2). What is the greatest common divisor of z and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, 592 in descending order.\nAnswer: 592, 35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 46659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = 7. Let h(l) be the first derivative of -2*l**3\/3 + l**2\/2 - 2*l + 24905. Let b(g) = g. Calculate s*b(x) + h(x).\nAnswer: -2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 + 125 = 2*s. Let w = -8 + s. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -266 and -6.1?\nAnswer: 1622.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2351 = -3*d + 2420, -5*m - 2*d + 31 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080.16863 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13346 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6 times -0.05?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*t = -182, -2*t - t - 114 = -3*s. Let k = -29 + s. Solve 0 = -5*i + 4*v - 1, 5*i - k*v = 3*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a - 6. Let j be 513\/18*24\/9. Suppose -j = 105*p - 109*p. Calculate the remainder when w(-6) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g)**28)**50 assuming g is positive.\nAnswer: g**(-1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -646845, -646880, -646913, -646944?\n\"Answer: f**2 - 38*f - 646808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/14 + 1\/2. Solve z + 3 = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-24) + 4)*(-36)\/30. Let f(h) = 2*h**2 + 7*h + 5. What is f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9766259*c**2 + 20548336*c?\nAnswer: -19532518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.7 - -14.7. Sort 1, 5, f, -5.\nAnswer: -5, 1, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513 - 207*l + 762 + 751.\nAnswer: -207*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 304 = -8*z - 4*j, 0 = -5*z - 3*j + 364. Suppose -7*d + 24 = -z. Sort 5, -2, d.\nAnswer: -2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 21322800.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*3*(-10)\/(-2790)*6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 12, 0 in decreasing order.\nAnswer: 141, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 5*d - 3. Let b(h) = h + 1. What is 5*b(f) + n(f)?\nAnswer: -f**3 - 8*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455159394 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.038 - 34.96185. Let p = i - -38. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, g: 5, i: 2, e: 6}. Give prob of sequence edi.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 25*w - 45. Let l = 294 - 296. Let h be n(l). Let z(v) = -4*v**2 - v - 1. Determine z(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -73*l + 1752. Let a be p(24). Solve v - 4 = 3*w - 12, -w + v = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006104 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -9 (c) -1\/68 (d) -1 (e) 0.2 (f) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r*r**(-19)*r)\/r*r)**(2\/13))**(-34))**9 assuming r is positive.\nAnswer: r**(9180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1711 and 14\/25649601.\nAnswer: 25649601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -189, -435, -779, -1221, -1761?\n\"Answer: -49*x**2 - x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*b = 21 + 123, -5*b = 10. What is the highest common factor of 84 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93\/188 - 12\/47. Which is the nearest to -2? (a) -3\/2 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 99204?\nAnswer: 694428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 4 - 5*g + 0. Let x be (-3)\/(9 + 0)*-375. Let a = 122 - x. Determine p(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/169730?\nAnswer: -3\/169730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/6 - 3*i**2 + 9*i - 8. Let a(s) be the first derivative of k(s). Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/9, -6\/49, 0.07, 0.0341?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/208274 and 3\/104137.\nAnswer: 208274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/4 - 72*f**2 - 143*f = 0. Calculate f.\nAnswer: -286, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2448) + 1*sqrt(2448)*-2)*-4)**2.\nAnswer: 192*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4, -24 + 88 = -5*y + 3*p. Let r(q) = 4*q + 32. What is r(y)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857122.44 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 + 1468*s**2 - 12361490*s\/7 - 2186062008\/7.\nAnswer: -2*(s - 2647)**2*(s + 156)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 12*c**2 + 6*c - 10. Let a be i(-11). Suppose 4*j = -13 + a. Let q be 3\/(-2)*j\/(-9). What is the closest to q in -0.3, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 44 = 2*i, -4*v - 3*i + 0*i = 86. Which is the closest to -0.1? (a) -0.5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10*c = -12564. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*i**2 + 19*i**2 - 319857 + 294491 + i**4 + (0*i**2 + 0*i**2 - i**3)*(0*i - i + 3*i).\nAnswer: -i**4 - 2*i**2 - 25366","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 (base 7) in base 4?\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - -1*sqrt(3024))\/(sqrt(7) + ((-2*sqrt(56) - sqrt(56))\/sqrt(8) - sqrt(7))))**2.\nAnswer: 169\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (-1 + 1 + 3). Let t = -36 + 92. What is the highest common divisor of j and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 170*w + 175.\nAnswer: -5*(w - 35)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 = 4*q - 0*q, -4*q = -5*h + 46. Calculate the lowest common multiple of 36 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let t(c) = -2*c**2 + 5020. Give t(o(v)).\nAnswer: -8*v**2 + 5020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/369100 and -35\/16?\nAnswer: 1476400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.04 (b) 0 (c) -0.1 (d) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1976 and 119396?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 5*t + 0*t + (-7 + 4 + 2)*(21*t + 57*t + 30*t))*(3*t**3 - 4*t**3 + 4*t**3).\nAnswer: -327*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5017388 is divided by 2508684.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/20 + o**4\/4 + o**3\/3 - o**2 - 24*o. Let x be 26\/91 + 132\/(-21) + 4. Determine z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3472874 is divided by 405.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 70*c**2 = 0. Calculate c.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/23, 5, -15?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 14*k**2 - 22*k + 16. Give r(15).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 72 = z - 2*z, -3*d + 6 = 0. Let x = z - -119. Calculate the greatest common divisor of 49 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2983*v - 6082. Determine a(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*q, 7*q - 11 = 4*q - d. Suppose 0*v = -q*v + 2. Suppose -4 + v = -3*y + 3*k, -y = 5*k - 7. Solve y*r + 6 = -4*w, -r - 22 = -2*w + 3*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvppphppppvppvpppvp. Give prob of sequence pv.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t. Let g(c) = -2*c. Let a(l) = -2*g(l) + 3*h(l). Let v be (5\/(-9) - 2\/(-6))*-9. Let z(r) = -76*r**v + 38*r**2 + 42*r**2. Give z(a(i)).\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13241.744217 from 0.6.\nAnswer: 13242.344217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 52*a + 10705741 - 31530902 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6500050 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 22*p**2 - 26*p**2 + 6*p + 7 + 0*p**3. Let b(z) = z**2 + 6*z + 3. Let k be b(-4). Give g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23041 (base 6) to base 4\nAnswer: 303001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -11 + -11 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.7*0.07.\nAnswer: -1.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826260948?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40848502?\nAnswer: 2, 1103, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.624 - 0.036. Let y = f + 0.714. Round y to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702528 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -56\/685, -0.4, -4?\nAnswer: -56\/685","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23131002 - 131?\nAnswer: -23131133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3 - 6. Let f be p - (2 - (-4)\/2). Let i = 25 + f. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 41. Suppose -967 = -60*s - 61*s - 2782. Determine g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/141)\/(1\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:20 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(10\/3)*o)*o**(1\/15)*(o*o\/(o\/(o*o*o*o**(-2\/3)*o*o*o*o*o)*o))**(-6))**(-8) assuming o is positive.\nAnswer: o**(5792\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1268150 divided by -253630\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/55?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, 148, 613, 1254, 2065, 3040, 4173?\nAnswer: 5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**3 - 13*d**3 - 4*d + 3*d**3 - 2 - 3*d to the form y*d + r*d**3 + v + k*d**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/4 + 116757505*k**2\/4.\nAnswer: 5*k**2*(k + 23351501)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286\/25 or -11?\nAnswer: -286\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011110100111010001 + -110?\nAnswer: 100111011110100111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86961 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 15. Let i(j) be the third derivative of j**6\/120 + 8000*j**3 + 31*j**2. Let p be i(b). Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 3. Suppose c = 2*q - d, -3*c + 6*c = 5*q - 5. Suppose -3*i = 2*z - 13, -4*i - 16 = z - 5*z. Solve -6 = -n + 4*y + i, 3*n + c*y = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -4\/9 (b) -2\/5 (c) -0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m = 77*m + 6. What are the prime factors of 2\/(-9) - (m + 29172\/(-54))?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 11*o - 16. Give l(15).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 1}. Give prob of sequence ib.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 28. Let j be c(-10). Let a be 4\/10 + (-7)\/5. Sort 5, a, j in ascending order.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 6*p + 4*p + 2*p. Let f(w) = 2*w. Calculate z(f(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 2, -11 in increasing order.\nAnswer: -11, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11323022123 (base 4) in base 2?\nAnswer: -101111011001010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 48, 126, 232, 372, 552?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -f - 162 - 248, v - f = 206. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 4. Let y(c) = c**2 + c. What is x(g) - 3*y(g)?\nAnswer: -3*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 28388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 - 30. Suppose n = -q + 2*q. Is q\/8 - 5\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*n = -42, -4*n - 6 = 2*z - 18. Suppose 21 = 2*w - 5*w. Let t = z + w. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506.8294g to tonnes.\nAnswer: 0.0005068294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 96*t + 16. Let q(w) = -19*w - 3. Let a(h) = -2*d(h) - 11*q(h). Let c(r) = r + 7. Let m be c(-8). Calculate a(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/106, 82, 1\/2, -1\/27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {q: 6, t: 3, d: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*z + 351 = -1278, 5*w - 2715 = -2*z. Which is the third smallest value? (a) -5 (b) w (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2283*c**4 + 7*c**2 + 7*c + 2504. Let r(z) = -1142*z**4 - 4*z**2 - 4*z - 1252. Let g(s) = 7*r(s) + 4*y(s). Differentiate g(n) with respect to n.\nAnswer: 4552*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w**2. Let k(n) = -42*n**2. Give o(k(t)).\nAnswer: -29988*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*r + 2. Let f = 259 + r. Let d = f + -75. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1343, 1353, 1363, 1373?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195887?\nAnswer: 195887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**5\/60 - k**4\/24 + 2*k**3\/3 + 67*k**2 - 66. Let m(d) be the second derivative of q(d). Calculate m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 105 = -2*d, 2*n + n = 4*d - 165. What is the remainder when 183 is divided by (d - -2)\/(2*(-2)\/(-4))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/252 - 11*w**5\/60 + 13*w**2. Find the third derivative of t(o) wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6) + (-88)\/24. Let q = m + 22. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12897897407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90905.54 litres in millilitres?\nAnswer: 90905540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = g, -20*h + 3*g = -17*h + 33. What is the third smallest value in -2\/3, -0.2203, h?\nAnswer: -0.2203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = 4*b, -5*b = -5*y - 1 - 4. Let x = -30 - -33. Factor x*r**4 + 2*r**5 - 3*r**2 - 2*r**5 + 20*r**3 - 17*r**3 - y*r**5.\nAnswer: -3*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y + 1. Suppose -4*r - 6 - 4 = -p, -p = -2*r - 6. Does 9 divide 20 + 4 + r + y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8)*-9*22\/(-11). Suppose -2*i = -2*g - 17 + 5, -3*g + 24 = 4*i. Which is greater: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/3)\/((-2)\/(-6)). Suppose -q + 52 = 5*r - 5*q, 3*q = 2*r - g. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)\/(1\/7). Suppose 5*d + 30 = 8*d. Let w be 24\/5 - (-2)\/d. Solve w*k - 13 + 0 = -b, 5*k - 3*b = h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0529 + 0.43.\nAnswer: 0.4829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274560 by -88.\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 89880.\nAnswer: 89880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b9a3 - -62?\nAnswer: 12ba25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 542, 822, 1104, 1388?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.795 + -98. What is j rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 169 + 6\/(-5)*25\/10. Suppose -2*t + y = -67, 0 = -4*t - t + 2*y + m. What is the remainder when 94 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000052141 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44570 or 44567?\nAnswer: 44570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 24\/5 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -15414200?\nAnswer: -15414134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75585603.\nAnswer: 3, 173, 145637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = 3*q - 42, -24 = -3*p - 3*q. Let m = 205 - 110. Let u = m - 62. Calculate the remainder when u is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 17*g - 24. Suppose -2*w = -3*s + 8, g*w - 7 = 1. Sort s, 1, 2 in decreasing order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -169602 and 181 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/5044 and -4\/66940185.\nAnswer: 267760740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47220 + -1760. What are the prime factors of p?\nAnswer: 2, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105948.209964 + 105948. Let o = p + 0.21. What is o rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 1242?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -5, 2\/375, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 - 5*o**4\/6 - 11*o**3\/6 - 2*o**2 + o - 10. Let q be t(11). Sort q, -0.4, 3, 5.\nAnswer: q, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2500254*h**3 + 755648*h?\nAnswer: 15001524*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 51*g**2 - g. Suppose -3*b + 1 - 4 = 0. Let s be (1 + -1 - 1)*b. Let a be j(s). What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n + 4. Let l(t) = -11*t - 12. Let g(d) = l(d) + 2*u(d). Let h be 0 + 1*4\/(-2). Determine g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-8)\/12. Suppose f = -5*n + 2 + 33. Does 2 divide n + -5 - (0 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-175)\/(-70) + (-2 - 1))*2. Put -3, b, -0.053 in increasing order.\nAnswer: -3, b, -0.053","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(-7)*d*d)*(d\/(d**(-17)\/d))\/d)\/(d*d*(d\/(d\/(d**13*d)))\/d*d*d**(12\/11)))**(-1\/14) assuming d is positive.\nAnswer: d**(-87\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -306192*x. Let u(v) = -6*v - 3. Give a(u(z)).\nAnswer: 1837152*z + 918576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048456 rounded to the nearest one thousand?\nAnswer: 1048000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118799.28*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.477 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 + -3?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101101000001101101?\nAnswer: 101101000001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 558876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Let c = 24 + -19. Solve -3*u**2 + 54*u**2 - 16*u**3 + 16*u**5 - 9*u - 23*u**3 - 4*u**c - 9*u**y - 6 = 0 for u.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooooiioifofi. What is prob of sequence iooi?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24084 and 395641917.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 194 + 187. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqbb. What is prob of sequence bb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5209*d + 5211*d - 3*c - 4 = 0, -4*c = 3*d + d + 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u**2 + 6*u - 2. Let f be (2\/4)\/(9\/(-1422)). Let a = f - -68. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -73 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.12 - 1.12. Let b = -44.99968 + h. Round b to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p - 7 = 0. Suppose 0 = 3*k + 8 - 50. What is the remainder when 24 is divided by k + p + (-4)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911857.\nAnswer: 1911857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*t**4 - t**3 + 91*t**2 + 19*t**4 + 14*t**4 + 9*t**4 - 5*t to f*t**2 + u*t + c + w*t**4 + v*t**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*(sqrt(72) - sqrt(72)*-3) - (sqrt(72) + 3*sqrt(72))*4))*-4*4)**2.\nAnswer: -49152*sqrt(2) + 1180672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 - 2 - (9 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**2 + 1. Let o(t) = 2*t**2. Determine f(o(c)).\nAnswer: -68*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12807 and 56313.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283976.\nAnswer: 2, 7, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71575027.\nAnswer: 79, 906013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urk when three letters picked without replacement from yyykuryyu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69675 or 69687?\nAnswer: 69687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(68)*1 + sqrt(68) - sqrt(68)) + -5)**2.\nAnswer: -20*sqrt(17) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(-1*1)*(-594495)\/(-18015).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 32\/19*v + 28\/19*v**2 + 6\/19 - 8\/19*v**5 - 24\/19*v**3 - 34\/19*v**4 = 0.\nAnswer: -3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 9*m**2 - 11*m + 14. Determine q(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1880475 (base 13) to base 7.\nAnswer: -125136423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.2, 0.5218 in decreasing order.\nAnswer: 0.5218, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*j**5\/5 + 80*j**4 - 72*j**3\/5.\nAnswer: -2*j**3*(j - 18)*(11*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2194153*i**4 + 2393880*i.\nAnswer: 26329836*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 9)\/(1\/(-10)). Suppose 4*y - n = -0*y. Suppose 3*z + 2*z = -y. Calculate the common denominator of z and -37\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/(-30))\/(-9))\/(12\/30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317398 and 110?\nAnswer: 17456890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 1:54 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36634*s**3 - 3768*s**2 + 4*s wrt s.\nAnswer: 219804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 2*a - 7, 5*a = -2*r + 8. Let y be (-20)\/(-40)*12\/a. Let j = -4 - -11. Is y at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 4*h + 2*h + 3 - 5. Let v be (4\/12)\/((-2)\/12). Let s(r) = -r**2 - 2*r - 2. Let l be s(v). Give b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 0 - 12*t + 9*t - 2 - t**3. Let q be y(-3). Let o = 14 + q. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90.3 - 90. What is the closest to 1 in -10, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 - 200*z**2 + 285*z + 9990 = 0.\nAnswer: -6, 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 15232*g\/9 + 60896\/9 = 0. Calculate g.\nAnswer: 4, 7612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 892184, 1784318, 2676450, 3568580?\n\"Answer: -a**2 + 892137*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*o + 84*o**3 + 36*o)*(27 + 137 + 345) to the form f*o**3 + u*o + t + w*o**2 and give f.\nAnswer: 42756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-99)\/(-27) + -3)*3. What is the third derivative of -80*c**2 - 12*c**3 - 8*c**2 + d*c - 43*c**2 - 21*c**2 + 326*c**3 wrt c?\nAnswer: 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60654798 is divided by 8021?\nAnswer: 8017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + 5900\/30. Let q = l + -157. What is the greatest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5898, 5909, 5934, 5979, 6050, 6153?\nAnswer: 6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*z = 60, -3*z - 14 + 43 = 2*p. Let i(d) = d**3 + 10*d**2 + 9*d - 1. Let n be i(-9). Sort n, 0, -5, p in decreasing order.\nAnswer: p, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwyyyfwyy. Give prob of picking 4 y.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 20 = 0. Suppose -2*b = 3*u + b - 6, f*u = 2*b + 17. Find the third derivative of 2*w**u - 5*w**2 + 0*w**3 + 8*w**3 - 3*w**3 wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12960312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 4 - -4) + (-8 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-292060)\/(-136) + 2\/(-4) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-10))\/m)\/m)\/m**(-11))**(-22) assuming m is positive.\nAnswer: m**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 837297193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131581518123*f**2\/4 + 628287*f + 3.\nAnswer: 3*(209429*f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 10*n**3 - 25*n**3 + 22*n - 2*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**4 - 4*o**2 + 9*o**2 + 7 - 5*o**2 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382 divided by -304\nAnswer: -191\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q - 34*q - 15*q. Let f(y) = 218*y - 14. Let i(w) = 187*w - 12. Let d(t) = -6*f(t) + 7*i(t). What is d(l(a))?\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 70172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190034*j**3 + 95013*j**3 - 85 + 95019*j**3.\nAnswer: -2*j**3 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*b + 693*b - 318*b + 11.\nAnswer: -5*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 20. Suppose -4*n + 3*z + v = 0, 0*n + 30 = 2*n + 3*z. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2075*c - 57982. What is r(28)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507 (base 8) in base 9?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:11 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921622 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120740 (base 10) to base 12\nAnswer: -59a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12) + sqrt(3) + sqrt(9)\/sqrt(3) + -1)**2*1.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -0.37. Sort 0.5, -9, f in descending order.\nAnswer: 0.5, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(20)\/sqrt(4)) + sqrt(1344) + 2*sqrt(1344))\/(sqrt(175)*6 - (sqrt(112) - -2*sqrt(112))).\nAnswer: 25*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343770 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -43 + 52*k**3 - 14*k**2 + 21*k - 22 - 51*k**3. Let q be f(13). What is the greatest common divisor of q and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 3?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrskssssrccrrcc. Give prob of picking 1 r, 1 s, and 2 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 1, k: 1, q: 1, d: 2, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -458442 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + v. Let t(b) = -2*b**2 + 6*b - 10. Let z(d) = j(d) + t(d). Find m such that z(m) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**2 + 4. Let y be l(2). Suppose -h + 16 = 4*m - y, 5*m = -2*h + 105. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(65)*1 - sqrt(65))\/sqrt(5))**2*-4.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, h: 1}. What is prob of sequence hg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 + ((-4)\/18 - 175\/63) is divided by 137.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from {n: 5, s: 1, v: 11, h: 3}?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17406 is divided by 442.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 151. Suppose -k = d*j + 3365, -5*j = -5*k + 522 + 3703. What is j rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(0*m**4 + m**4 - 2*m**4)*(-3034 + 2287 - 10532).\nAnswer: -11279*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1640119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 21 = 5*k. Let b(p) = 9*p - 7. Let j be b(k). Suppose -2*y - 2*y = -j. Calculate the highest common factor of y and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/2162539 and 13\/175341?\nAnswer: 6487617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/34 + -461\/374. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 35*s**2 - 36*s + 2. Let b be o(-36). What is the second derivative of -30*f - 39*f**4 + 93*f**b + 132*f**4 - 93*f**2 wrt f?\nAnswer: 1116*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) - (-48)\/(-15). Let q = 1 - 0.5. Which is the biggest value? (a) 2\/3 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 597 + -598 - (20 + 0 + 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -0.02 (b) -2\/75 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 - 1590 - 438 = 168*x + 381 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - c - 12460 = 17039, 2*y - 3*c = 14737. Suppose y = -37*v + 21*v. What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 117 + 51. Let g be 6*(r\/(-12) - 6\/9). Solve -g*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (5 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23555 + -0.06555. What is the third smallest value in -4, 20, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 87*y + 0*y.\nAnswer: 87*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, 138, 395, 744, 1179, 1694, 2283?\n\"Answer: -c**3 + 55*c**2 + c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b (base 12) to base 3.\nAnswer: 100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08752 and 1.\nAnswer: -0.08752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 7. Suppose -5*o - 3*y + 25 = 2*y, 0 = 2*o + 4*y - 10. What is p(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {a: 2, c: 4, u: 5, x: 2, h: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33556.\nAnswer: 2, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166*f**2 - 101*f**2 + f**5 - 120*f**2 + 13*f**6 wrt f?\nAnswer: 1560*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -47.3. Which is the biggest value? (a) w (b) 7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*a = 2788 - 1600 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 36 = 4*z. Factor 70 + z*m**4 - 3*m**2 - 70 + 6*m - 6*m**3.\nAnswer: 3*m*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 2, i: 4, r: 5}. Give prob of picking 1 i and 1 r.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -5, -0.2, 0.3, 1942, 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/11 (b) 0.2 (c) -1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than -0.178486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16756247 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 minus -0.09?\nAnswer: 1043.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2070*v + 387*v = -120393 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.088638 times 17?\nAnswer: -1.506846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/20*-4*(-5 + 1). Solve -u*d - 4 = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*v - 2280 = -344*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 221?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140078 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 6*b + 6. Let w(x) = x**2 - 10*x + 9. What is w(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4653 - -13338. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -10*u + 8, 3*r - 2 = -5*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let s(h) = 21*h - 11. Determine g(i) - s(i).\nAnswer: -22*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0 (c) -2\/7 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 43?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1926 and -63\/428.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzz when four letters picked without replacement from {z: 9, w: 5, m: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514737 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j. Suppose j = g + g - 4. Solve 3 = k - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + x**2 - 4*x + 2. Let o be u(3). Calculate the remainder when 8\/(-12) + o\/3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose 3 = l*h - 29. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -30 in descending order.\nAnswer: 4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - p)*((-2*p + p + 3*p)*(-3 + 1 + 6) + 12*p - 4*p - 10*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 5094*t\/13 - 392.\nAnswer: 2*(t - 1)*(t + 2548)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 19. Let o(q) = q + 16. Calculate the remainder when 3 is divided by o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -38, -27, -14, 1, 18, 37?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1458)*-2)\/(sqrt(36)*2 - (sqrt(72)\/(sqrt(32)\/sqrt(4)) - sqrt(9))))**2.\nAnswer: 2025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 - 3 = -32*l + 297 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*j - 54 - 25 = 0, 2*j - 10 = -o. Suppose 5*r - 4*d - 84 = 0, -r + 0*r = -d - o. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f)*(-80*f + f**2 + 49*f + 45*f).\nAnswer: 2*f**3 + 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -704*b**3*d**3*x**2 + b**3*d*x**2 - 5548*b**2*d**2 - b*d**2*x - b*x**2 + 100*d**3*x**2 wrt d?\nAnswer: -4224*b**3*x**2 + 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 + k + 1. Let h(r) = -5*r**3 + 5*r**2 - 5*r - 2. Let m(c) = 5*b(c) + h(c). What is the first derivative of m(u) wrt u?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:37 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154235 < -5771172\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -456*i + 25637. Determine p(56).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 + 850*r - 36125 = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -77 - (5 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(-3 - (-4 - 14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1 + sqrt(68))*-5 - (sqrt(68) + -1*sqrt(68))*-3)\/(-4*sqrt(256)*-2).\nAnswer: -5*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 78*p - 719. Calculate m(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxixxxxxxx.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1732*f**3 + 1964*f.\nAnswer: 10392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -b + 39828, 0 = 3*b + 2*v - v - 119470. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 704, 1084?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022254741027 plus -4?\nAnswer: -3022254741031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(5103)*2 + 2 + (sqrt(5103)*-2 + -5 - (1 + -1*sqrt(5103))))**2.\nAnswer: -432*sqrt(7) + 5167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 11*n**4 + 9*n**4)*(-14*n - 3*n - n) + 0*n**5 + 3*n**5 - 5*n**5.\nAnswer: 88*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -478, -1081, -1924, -3007, -4330, -5893?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -880\/7 + 126. Let r = -64 + 64.5. Which is the nearest to o? (a) r (b) -17 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1559*c - 9353. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 60 - 3 + (-2 - 3 + 7)*(25 + 3 + 3) - 5 + 1 + 2)*(0*l + 2*l + 2*l).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81789 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722064?\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1637392.\nAnswer: -5\/1637392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 11*h**3 + 2*h**2 - 8*h**3)*(7*h - 4*h + 3*h).\nAnswer: 18*h**4 + 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711\/((325\/(-26))\/(-25))?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.5. Let m = -31.1 - -30.05. Let h = -1.85 - m. What is the third biggest value in k, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -137. Solve 22 = -p + 5*z, 3*z - q = -3*p - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 16 = -11*b. Solve -w + b*w + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 54\/(-15))*10\/(-4). Let c = 12 - 9. Sort 4, -5, l, c in decreasing order.\nAnswer: 4, c, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 + 213 + (-30 - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + f + 7678, -7*f - 1526 = -p - 2*f. Suppose -5*v + p = 7*v. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -691*q**2 - 674?\nAnswer: -1382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7*z = 376. Let p be ((-6)\/(-4))\/(1125\/z + 3). Calculate the highest common divisor of p and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(2\/7)\/z))*z**(2\/7)\/z)\/(z**(-2\/7)*z*z**(-2\/9)) assuming z is positive.\nAnswer: z**(-121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9261499 a multiple of 653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 7369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h = 4*p + 62*h + 14, -p - 3 = h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2953 - -203761\/69. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99802, -99804, -99806?\n\"Answer: -2*o - 99800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 35*s = -657. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k**2 - 26*k**2 + 12*k**2. Let g(l) = -l - 1. Let z(o) = -1. Let q(v) = -g(v) + z(v). Give t(q(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-791)\/(-21) - 1\/(-3). Let b = g - 38. Does 3 divide ((b + 1)*-38)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkj when three letters picked without replacement from zkjdkaoz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 69. Suppose -w*g + 2*z + 92 = -3, 4*g = -z + 63. What is the greatest common divisor of 187 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 - z + 8. Suppose -3*a = 2*a. Let d = 2928 + -2922. Calculate the lowest common multiple of p(a) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 14*g + 115. Let v be y(-6). Let w(x) = 2*x**3 + 14*x**2 + 19*x. Let t be w(v). Solve t*k + 0 + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129279734, 258559467, 387839210, 517118969, 646398750, 775678559, 904958402, 1034238285?\nAnswer: 1163518214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*p - 109 - 2147 = -37*p - 65*p for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 73. Suppose -25*a = -38*a + 429. Let q be f(a). Let n(i) be the third derivative of -i**4\/24 - i**3\/6 + 8*i**2. Determine n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003510796258 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*2)\/(284\/(-213))*24\/36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o + 120, 5*o - 7*o - 25 = -g. Let w be ((-3)\/(-12))\/(25 - g). Determine c so that -1\/4*c + w + 1\/8*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2910325488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*n - 2*z, 4*n = -3*z + 1 - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.6 - 79. Which is the closest to 2\/11? (a) o (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {s: 5, p: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7566 - -7983. Solve -418*z = -a*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 35 - 19*g to l + d*g and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + n + 3*n + 6*n - 4*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2468 = -65*f + 632 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 12\/63. Let f be (-10 - -3)\/((-1)\/3). Let o be (2\/3)\/(4 + (-70)\/f). Is n smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -17, 22, 77, 148?\n\"Answer: 8*d**2 - d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.92 + -1.814.\nAnswer: 6.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41069 is divided by 10262.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198.5 - -199.5. What is the second smallest value in -2, -0.5, -68, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108576?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 2*s - 9. Let r(c) = 3*c**2 - c - 5. Let l(t) = -6*i(t) + 11*r(t). Let p = -11 - -16. Let u = 3 - p. Calculate l(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {q: 1, a: 3, r: 3, f: 3, p: 1, d: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1. Let z(g) = -12*g - 4. Let t(y) = 5*v(y) - z(y). Give t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2540.562 millimeters?\nAnswer: 254.0562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2. Let r = 17 + -17. Suppose r = 4*k - 3*d - 3, -2*d = -k - 7*d - 5. Let f(j) = j**2 + 5*j**2 + k*j**2 - 5*j**2. What is b(f(g))?\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:35 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - 4*w + 4. Let h(a) = -26*a**3 - a**2 - 2*a - 1. Calculate the lowest common multiple of x(3) and h(-1).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/1722 - ((-6)\/(-11) - 277291\/11319)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Suppose a = 5*u - 15, -4*z + 7*u - 2*u = -125. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**4\/24 + 11*s**3\/3 + 3*s**2. Let g be u(10). Sort g, 1\/4, -1\/3 in descending order.\nAnswer: g, 1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*g - 5143 = 0, 8*g - 13*g + 5140 = 5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*v - 174*v + 8021313 = 0. Is 219 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 43, 98, 207, 388?\n\"Answer: 3*p**3 - 2*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 2*k**2 + k**2)*(3*k - 4*k - 2*k**2 + 3*k**2 - 5 + (2*k + 4*k + 0*k)*(-3*k + 3*k + 2*k)).\nAnswer: -78*k**4 + 6*k**3 + 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqm when three letters picked without replacement from {q: 2, p: 1, m: 2, g: 8}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/((-90)\/(-984)))\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzpjzhfjhffe. What is prob of picking 1 e, 1 h, 1 f, and 1 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -17 (c) 0.606 (d) -1 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let u(d) be the third derivative of d**4\/12 - 13*d**3\/6 - 57*d**2. Determine l(u(o)).\nAnswer: -4*o**2 + 52*o - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52861 + 88584. Is j a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - -30994868378.8.\nAnswer: 30994868388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 609, 4, -600 in descending order.\nAnswer: 609, 4, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 o when four letters picked without replacement from {o: 6, b: 2, d: 2, q: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467271595.\nAnswer: 5, 8669, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -50*r - 93. Suppose -5*d = 5*g + 20, 3*d - 4 - 8 = g. What is the tens digit of y(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2540)\/(-12) + -5)*(27\/2 + -6)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/23561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -226917 and -72.\nAnswer: 16338024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -36 (b) 2\/7 (c) -0.3 (d) 0.5 (e) 0.2 (f) -2 (g) -1047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93385374*m**3 + 168379*m**2 - 243.\nAnswer: 560312244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. What is the first derivative of 0*t + l*t + 0*t**3 + t**3 - 4 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 6*p + 6. Let s(z) = z**2 + z - 1. Suppose 0 = r + 5 - 1. Let d = -10 + 12. Suppose 1 + d = -3*w. Calculate r*s(i) + w*f(i).\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 201180?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 18, 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*4 - sqrt(20))\/((sqrt(96)\/sqrt(3))\/sqrt(8)).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 11. Is ((-22)\/j)\/(1\/(-22)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/12 - 4*j**3\/3 - 3*j**2\/2 + 2*j. Suppose y + 8 = 3. List the prime factors of a(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284866675*u**4 + 114389138*u + 2.\nAnswer: -3418400100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + v - 2 = -21, -5 = -2*u - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(4 + d - 4) - 2*d + 5*d - 4*d - 3*d + 0*d - d + 5*d + d - 5*d)*(-3 - 1 + 5).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2154 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -4 + 196\/(0 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*(sqrt(150) - (sqrt(150) + sqrt(150)*-2) - sqrt(150))\/sqrt(6))\/((sqrt(25)*2)\/sqrt(5) + (sqrt(5) - (sqrt(5) - 5*sqrt(10)\/sqrt(2)))))**2.\nAnswer: -30*sqrt(5)\/7 + 1270\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + -33. Let w be (1\/(-33))\/(t\/(-39174)). Let y = -243\/13 - w. Calculate the common denominator of 19\/4 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(605))*-1)**2 + -3 + (sqrt(180) + -5 + 3*sqrt(180))**2 + (sqrt(180) - (sqrt(180)*3 + 2 - sqrt(180))**2).\nAnswer: -216*sqrt(5) + 2792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**(-2\/11))*z)**8)**(-12)*(z**7*z*z\/((z\/(z*z**4))\/z)*z)\/((z*z\/(z**(-3\/4)\/z))\/(z**(-1\/3)\/z)) assuming z is positive.\nAnswer: z**(-21731\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*b - 12, 7*x - 3*x = -5*b + 10. Suppose 0*l = -x*l. Solve l = -4*j + 3*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 261.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -14. Let h be (-2 + z)\/2*12\/(-8). Solve 0*p - h = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 3\/7, 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46515 = -95*l - 144*l + 10606. Calculate the remainder when l is divided by 228.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g + 0*g)*(8 + 5*g - 8 - 2*g - 3*g + 3*g + (-3*g + 4*g - 3*g)*(-4 + 2 + 3) - 2*g - 2*g + g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let r(h) = h + 2. Let z(g) = 5*j(g) + 4*r(g). Give z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y**2 + 3*y + 5. Let k be j(7). Suppose 4*t + 50 = -3*b, 0 = -2*b + 6*b + 2*t + 80. Are b and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1590.959 - 1511.3. Let a = -79.7019954 + u. Let j = a + 0.043. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 less than 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-5\/3)*j*j))**(-3\/17) assuming j is positive.\nAnswer: j**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4375 - 3980 = -2*z, v - 1671 = 5*z. Suppose -13*a = -12*a - v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c - 43*c + 8 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 28 = 2*y - 3*y, 38 = -2*y + 5*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 11*w - 108 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Let q = -13.5441 + 9.5441. Sort -3, y, q, -2 in decreasing order.\nAnswer: y, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 5*r - 37*r = 560 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 14 (c) -0.019505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -85 * 0.2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -15*u - 55. Sort u, -4, -21 in decreasing order.\nAnswer: u, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.79?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guyh when four letters picked without replacement from gghgyigggmgguumgygui.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10684826, 10684788, 10684750?\nAnswer: 10684712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 92790 = -23*i + 20*i, i + 4*j - 30930 = 0. Suppose 12*x = -18*x + i. What are the prime factors of x?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1419105376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 18*r**2 - 18*r + 24. Suppose 8*j = -11*j + 1976. Suppose 3*u = 5*s + j, 5*u - 19 - 15 = s. What is p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -4.3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -111 - 48?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 55*(-36)\/135.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + g - 2552 + 7102, g = 2*w - 3034. Suppose 0 = -16*f + 660 + w. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-5)\/((-25)\/(-35))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 177*c**2 - 2953*c + 3515. What is x(-103)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(-2*sqrt(152) - sqrt(152)) + sqrt(152)))\/((sqrt(72) + (sqrt(72)*-1 - sqrt(72)))*2 + sqrt(72))*-3*-6*5.\nAnswer: -840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259388 divided by -1.\nAnswer: -259388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -6 - (-3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -59*g + 6. Let d(v) = 20*v - 2. Let n(r) = -8*d(r) - 3*j(r). What is the first derivative of n(y) wrt y?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 18. Let b be (-150)\/(-35) - 2\/l. Suppose 3*i = -2*n - 49 + 192, -2*i + 306 = b*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48353371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37994 and 18062.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -84. Which is the fourth biggest value? (a) 0.4 (b) 0 (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54) + (85196\/2565)\/38?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 - -188. Which is the closest to 0.17? (a) -2 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - 7 + 6*s - s + 2*s**2. Let b be (-6)\/(-3) - (5 + -6). Is 10 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*g = -4*g + 10, 3*q - 22 = 4*g. Calculate the smallest common multiple of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.111 (b) 1\/3 (c) 2153254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 1:31 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 - -179808369226.\nAnswer: 179808368984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*(-18)\/2052*-19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112.58655 and 0.61.\nAnswer: 68.6777955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2092\/5*w + 14*w**2 - 2\/5*w**3 - 432 = 0 for w.\nAnswer: -20, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*f = 6, -2*f = m - 16 + 6. Let o be (3\/m)\/((-5)\/(-80)). Suppose 4*z + o = 36. Solve 0 = z*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(11)*-2 + sqrt(11) + 1 - (3 + 4 + sqrt(176) - sqrt(176)))**2.\nAnswer: -84*sqrt(11) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/5 - 36*f**3\/5 + 318*f**2\/5 + 736*f\/5 + 384\/5 = 0.\nAnswer: -24, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -61, -71, -85, -103, -125, -151?\n\"Answer: -2*o**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 975238118 to the nearest integer?\nAnswer: 31229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3003303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6394 (base 13) to base 9\nAnswer: -20844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55874 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*k**2 - 3 - 5*k**3 + 43 - 329*k**2.\nAnswer: -5*k**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, -667\/2, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -155 (c) -1\/15 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 36. Solve 0 = -l + b, -3*l = b - g + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = 0. Suppose -2*m - 8 = x, -4*w - m = -4*m - 52. Suppose 0 + w = 2*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - h - 16*h = -5*u - 5, -21 = 5*u + 3*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 418936?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -22\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4859*b**2 + 2930 with respect to b.\nAnswer: -9718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((0 + sqrt(275) + -3 - sqrt(275)) + 3 + sqrt(275) + 0)**2)*-3.\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23885 greater than or equal to -23885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 18. Suppose -z - 488 = -3*d, 3*d + 7*z - 484 = 6*z. What is the greatest common factor of d and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 4. Let f(h) = -h - 1. Let k = 2 + 3. Let v = k - -41. Suppose 4*d = 10 - v. Determine d*f(q) + 2*n(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8 = -y. Let g = y + 4. Suppose -3*x = -3*s - 33, g*x - 4 = -s + 21. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22092563321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*m = 9, 2*v + 13 = -42*m + 39*m. Sort v, -17, -12 in increasing order.\nAnswer: -17, -12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5396 + -3134. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -557 - -557.6. Which is the nearest to -11? (a) h (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/(-55))\/23*50\/740?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 8*s + 2. Let n be d(8). Let q(p) = 17 + 4*p**n - 6*p**2 - 31 + 17. What is q(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2)*-2 + -3 + -4)*-2)**2*-6.\nAnswer: -1365 - 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 + 2006. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -598*r - 596. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 3*l**2 - l**2)*(4*l - 7*l + 4*l) - 168*l + 1 + 170*l - 3 + 12*l**3.\nAnswer: 10*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 2*z + 95. Determine s(0).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w + 14 = 55*w. Suppose -5*n - 30 = -4*q + 3*q, 3*q + 12 = -w*n. Let b be 1\/4 + (-211)\/28. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - x - 2. Let b be q(-2). Suppose 3*k = b*k - 34. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/21, -37, 3\/4, 5, -0.029?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -401\/24 >= 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79424200 and 800?\nAnswer: 317696800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -57, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*o - 1, -3*j - o = -6 + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**23\/(o**5\/o*o**(-1\/3)) assuming o is positive.\nAnswer: o**(127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/286278, -1.5, 4, -5, -4\/7, 3?\nAnswer: -1\/286278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*r - 14, 0*r + 2*a - 19 = -5*r. Suppose 4*x = -g + 19, 0*x - 11 = -r*x - 4*g. Solve o + 2 = -2*c - 4, x*o - 15 = 5*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 + -4.9. Let t = 41 - -45. Let d = t - 85. Which is the closest to d? (a) -6 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19)*2)**2) + 2 + ((sqrt(133) + sqrt(133)*1 - sqrt(133)) + sqrt(133) + sqrt(133) - sqrt(133))\/sqrt(7).\nAnswer: -74 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.0868 from 0.5.\nAnswer: -6.5868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/42 and -53\/2933.\nAnswer: 17598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - p, 3*p - 22 + 7 = 0. Let v be 4*(-5)\/(-40) - (-10)\/f. Let n(y) = -6*y + 1. What is n(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*s = s, -5*p + 4 = -3*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-33)*6\/(-68))\/(27\/27).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 680805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10823, -10813, -10803?\nAnswer: -10793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12456663 is divided by 3114162.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yipdnnp. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 591?\nAnswer: 118.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 11. Let c be g(8). Let l be (9 - 2)*2\/7. Let b = c - l. Solve -r - b + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c + 4*n, -6*c + 2*c + 12 = 3*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 590 + -650. Let s be (-972)\/(-16) - v\/(-80). What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1. Let k(m) = -3*m**3 - 2*m**2 - m. Let a be k(-1). Suppose -45 = a*j - r*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 + 3.8. Put d, -2\/7, -3\/5 in descending order.\nAnswer: d, -2\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/39650 and 121\/1292590?\nAnswer: 6462950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -70. Calculate the greatest common factor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 93717 (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-5*f + 3*f + 0*f) + 3 + f - 3 + 2 - f - 2 - 3*f - 4*f + 5*f + 5*f - 3*f - 3*f + 3 + 3039*f - 2582*f - 3 + 4262*f.\nAnswer: 4714*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w**3\/7 + 108*w**2\/7 + 90*w\/7 = 0. Calculate w.\nAnswer: -15\/8, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52, 927.72, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 175 = -5*k - 2, 2*i = -i - 534 + 522 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -14. Suppose c*d - p - p = -50, 65 = -2*d - p. What is d rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 114 = -2*g - 2*t, 3*t - 162 = -3*g. Let i(d) = -7*d - 5. What is the remainder when g is divided by i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 + (-14 - (-2888)\/190)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133011300021 (base 4) to base 2.\nAnswer: 11111000101110000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/12 + y**3\/2 + y**2 + 7*y. Factor r(c).\nAnswer: (c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 0, 4*g + 3*b - 2*b - 11 = 0. Let l be 2\/4 - g\/(-2). Solve 2*z = -0 + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107159801?\nAnswer: 7, 521, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-1\/2)\/w)))\/(w**(-6\/7)\/w))\/(w\/(w*w**(5\/7))*((w*w**(-3\/7))\/w)\/w) assuming w is positive.\nAnswer: w**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-12) - (-52)\/78)\/(4\/(-16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1794)\/45 - 8\/60. Let a be 0\/((-10)\/c + (-5)\/4). Solve 0 = g - a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20026121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11399*l + 17756. Let o(u) = 5700*u + 8922. Let d(t) = 5*o(t) - 3*v(t). What is the derivative of d(c) wrt c?\nAnswer: -5697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 + 1. Let w(h) = -6*h**3 + 5*h**2 - 20*h - 8. Let v(k) = -4*f(k) - w(k). Let o be v(26). What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1311473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let a = 0.05 - 0.05. What is the third smallest value in a, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5822051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2704 = -14*s - 164*s - 568 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - 5. What is t(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/28)\/(10\/(-70)). What is the third biggest value in 5, k, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 - 67 = 0. Let o = 136 - -270. Suppose -4*j + o = -v. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-10))\/(((-40)\/(-25))\/4). Let j(r) = -6*r + l*r - 2*r + 3*r. Let o(u) = 3*u**2. Give o(j(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -4.9. Let n = 1213 - 1212.6. Sort 2, n, f.\nAnswer: f, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 61, 93, 125, 157, 189?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {u: 7, y: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*g - 20272 = 34637 + 40852 for g.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 299, -15, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -231345 (base 8) to base 3\nAnswer: -10222202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34843?\nAnswer: 34843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 28 = -16*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -14*t**2 + 0*t**3 + 0*t - 1\/60*t**5 + 0*t**4 + 0. Let b(p) = -11*p - 6*p**2 + 17*p - 6*p. Give o(b(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212766257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(32)\/sqrt(4))**2 - (-1*sqrt(24))\/sqrt(12)))*3.\nAnswer: 3*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 3*b**2 + 4*b - 4. Let o be c(-4). Let n be 2\/9 - (-20)\/o. What is the closest to -1\/4 in n, 2\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and (103\/(-206))\/(1\/(-1038))?\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.92 + -0.08. Let v = -11 - p. Suppose -4*q + g = -1 - 4, 2*g = -3*q + 12. Sort v, -0.2, q in increasing order.\nAnswer: v, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(108\/8)*((-819)\/30)\/7.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/14 + 9*6\/2. Calculate the greatest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18396782797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, 1088, -2, -151.\nAnswer: -174, -151, -2, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180\/667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111 (base 2) to base 9.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1518*n - 5134. What is c(-4)?\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a = 110*a + q, 0 = -2*a - 3*q + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -10. Suppose -x*g - 2*g + 5*k + 17 = 0, -5*g - 4*k + 11 = 0. Suppose g*y - 13 - 35 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 5*y + 3. Suppose -3*q + 9 = -0*q. Let n be -5*(q - (1 - -1)). What is the units digit of i(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, y: 12}. What is prob of sequence yyaa?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/15)\/(-9)*((-27)\/(-3))\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 7f?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 39 = 32. Let b(q) = q**3 + 2*q**2 - 4*q + 2. Let i be b(-4). Let c = m - i. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {k: 5, b: 5, c: 6, o: 2, v: 1}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:20 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001350572635 to 6 decimal places.\nAnswer: -0.001351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8 + 10 - 21*y**2 - 3*y - 3. Let t(o) = -5*o**2 - o + 4. Let i(f) = -9*t(f) + 2*u(f). Let h be i(6). Calculate the highest common factor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24140 (base 5) to base 14\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdv when three letters picked without replacement from {v: 3, t: 3, e: 6, d: 2, h: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) -29 (c) 4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-3\/14)*t\/((t\/(t**(-19\/5)\/t))\/t)*t assuming t is positive.\nAnswer: t**(-71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let s = r + 0.01. Let u = s + -2.01. Which is bigger: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**3 + 118*w**2 + 51*w + 279. Give l(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 1422133.3?\nAnswer: -1422129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 11*o**2 - 5*o. Let u(b) = 18*b - 238. Calculate the remainder when a(-11) is divided by u(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -81, -222, -435, -720, -1077?\n\"Answer: -36*w**2 + 39*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1325734297 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462984 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 36. Suppose -g = -120 + 39. Calculate the greatest common divisor of g and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9673 + -29023\/3. Sort h, 2\/13, 1\/52, 1.\nAnswer: h, 1\/52, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -788\/29 - -12657\/580. Calculate the common denominator of u and -65\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1353, -1878, -757, 2832, 9711, 20702, 36627?\nAnswer: 58308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxnxynnnnnyxnxnynnn. Give prob of picking 2 n.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa5750 (base 11) to base 9.\nAnswer: -14278703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11485*f**5 - 3*f**2 + f - 12543 wrt f?\nAnswer: 229700*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w - 5. Let s be j(0). Which is the closest to -0.2? (a) -0.13 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 226640 and 32.\nAnswer: 453280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 6 + 6)*(2 - 3*a**3 - a**3 + a**3) to d + j*a + t*a**3 + z*a**4 + b*a**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 15) to base 9.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227369171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57747091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*k**2 + 288*k + 52.\nAnswer: (k + 26)*(11*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/7))\/i*i**(2\/11))\/((i\/(i*i*i**9*i)*i)\/(i*i*i\/(i\/i**(-1\/19)))) assuming i is positive.\nAnswer: i**(18163\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**4 + 2*s**4 - s**4)*((3 + 2 - 6)*(-1 + 1 - 2) + 4 - 5 + 2).\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56\/1615 - -3733712\/4845. What is k in 2\/3*k**3 - n + 816*k - 46*k**2 = 0?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)*u**(1\/3)\/u*u*u*u*u**(-8)*u*u**(-1)*u**6\/u**8*u**(-5)*u*u**(-5)*u assuming u is positive.\nAnswer: u**(-323\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 - -28.964. Let k = 31.4 - i. Let c = 4.4 - k. Sort 0, c, -4.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(-4)\/24?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02717 * 18\nAnswer: -0.48906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4535, 9060, 13581, 18098, 22611?\n\"Answer: -2*s**2 + 4531*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3 = 4*y, -3 = -6*y + 7*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1942*q**2 - 1688*q + 1688*q + 6076*q**2 + 3292*q**2 to o*q**2 + f*q + a and give o.\nAnswer: 7426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**3 + 33*h - 33*h - 2*h**3 + h**3 + 0*h**3 + (-3*h + h + h)*(-3 + 3 + h**2).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-47) assuming c is positive.\nAnswer: c**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, f: 5}. Give prob of sequence mm.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 17. Let z(f) = f**2 + 8*f - 10. Let y be z(-8). Let w = y - -4. Let o be q(w). Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 834.7.\nAnswer: 166.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 35710912?\nAnswer: 35710912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:45 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2184)\/33 + (-4)\/(-22). Let i = o - -62. Let g(z) = z**3 + 5*z**2 + 3*z + 5. Calculate g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*r + 75*r + 72*r)*(2 + 2 - 3)*(307 - 408 + 286).\nAnswer: 1295*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 212101 (base 3) to base 13\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.8 - -11. Let i be 2\/(-12) + 14\/21. Let y be (-33)\/11 - (-3 - -1). Which is the closest to i? (a) 5 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 * -0.3\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {d: 3, s: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 23381?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1554 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423584*h**5 - 81420*h - 7.\nAnswer: -8471680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 120*s + 170. Determine i(-18).\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyyyhyhyyyyhyyyhy. Give prob of picking 2 y.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 183 - 21. Let q = -407\/6 + t. Let c = -2 + 6. What is the second biggest value in -2\/7, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - 5*z**4\/24 + z**3\/3 + 12*z**2. Calculate m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*q**3 + 432*q**3 - 216*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(2)*-2*2)**2*-3.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - 4*w**2 + 7*w**2 - 1 - 3*w**3 - w to q*w**3 + a + p*w**2 + n*w and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 greater than or equal to -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 16 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -4*(sqrt(68) + sqrt(68)*2) + sqrt(68) - ((sqrt(17) - (sqrt(85)\/sqrt(5) + 2)) + -4).\nAnswer: -20*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11380 + 11377. Sort -2, 4, -29, -1, f in increasing order.\nAnswer: -29, f, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.3. Let w = h + 1.9. Let c = w - 1.95. What is c rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2525152, -5050312, -7575472, -10100632, -12625792?\nAnswer: -15150952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14515 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -223\/15. Let q = 8 - 15. Let w = 3 + q. What is the smallest value in 1, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 9 = h + 7*c, -h = -5*c - 9. Suppose 2*v = -2*v + 16. Is 36 - ((2 - h) + v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.23, 1.5, 8, -46, -1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + 3 - (0 + sqrt(304))**2) + -1.\nAnswer: -302 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 813\/542*32\/54\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/((3 + -1)\/(-10)). Let y = m - 53. Suppose -11*p + 13 = -y*p. Let v(s) = s**3 + 14*s**2 + 13*s + 4. Determine v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20*y + 1. Let r(c) = -98*c - 4. Give 3*r(q) + 14*v(q).\nAnswer: -14*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/14 + (-20)\/(-140). Is 168 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4098315 to the nearest integer?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 32*i - 1. What is y(37)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + 4*u**5 + 0*u**5 + (3 - 2*u - 3)*(0*u**4 - 2*u**4 + 0*u**4) - 3 - u**5 + 3 - 73*u**5 - 102*u**5 + 265*u**5.\nAnswer: 92*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*d - 8 - 2, d + 5*f = -30. Let v = -4 - d. Solve 4*t = v + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and -145478881?\nAnswer: 145478934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avaa when four letters picked without replacement from {v: 1, a: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*2)\/sqrt(8) + -3.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s + 1. Let f(k) = 7*k**3 + 3*k**2 - 4*k - 6. Let m(b) = f(b) + 6*x(b). Let v be m(-2). Suppose v = -4*j + 5*j. Solve j*l - 4*l = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdppd. What is prob of picking 2 p and 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.2 and -825.5.\nAnswer: -834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let m be i(5). Let d = m + -1. Suppose 3*w + z = 5, 3*w + d*z - 4 = 7. Put 1\/5, w, 5 in descending order.\nAnswer: 5, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336173946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 22 = 3*l + 2*v, 5*v - 10 = -l. Let d be (l + (-4 - 1))\/(-4). Suppose d = -32*t + 28*t + 756. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -35399, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:29 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 1, p: 2, a: 2}. Give prob of picking 2 f and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38548224 is divided by 5205.\nAnswer: 5199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express d - d + 10 + 0*d + 6*d**2 in the form n*d + u*d**2 + b and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445000\/272*6\/5 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*t, t - 17 = 17*m - 22*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 + 487 = -5*t + 3*l, 2*t + 3*l + 402 = 0. Let n(x) = -68*x + 3. Let s be n(2). Let f = s - t. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4 + v**2 - 3254*v - 877*v**5 + 1630*v + 1624*v - 87 wrt v.\nAnswer: -52620*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpc when three letters picked without replacement from cccwwawpckwkwcww?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42750.1 and -0.11.\nAnswer: 4702.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3772320 and 117885?\nAnswer: 3772320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -48. Let n(c) be the second derivative of c**2 + 0 + 1\/12*c**p + 0*c**3 + c. What is the derivative of n(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -207.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*2*-30. Let g be (c\/(-24))\/(1\/(-1500)). What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1172401147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8054 + 1124 - 9*x + 33*x.\nAnswer: 24*x - 6930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44576 + -9?\nAnswer: -44585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**6 - 870379*d**5 + 12*d**2 + d - 480470 wrt d.\nAnswer: -1440*d**3 - 52222740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-12))\/(49\/(-49)))\/((-1)\/(-57)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 526, 7, 5 in increasing order.\nAnswer: 4, 5, 7, 526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f + 22. Calculate h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117580103?\nAnswer: 149, 14211947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830, 811, 780, 737, 682, 615, 536?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, m: 7}. What is prob of picking 2 m?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/(n**(3\/4)\/n)))*n*n*(n\/((n**(-1)*n)\/n))\/n)\/(n**4\/n**(-3)) assuming n is positive.\nAnswer: n**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**39*l**(-9))**(-45) assuming l is positive.\nAnswer: l**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -0.3 (c) -6 (d) -60 (e) 1\/8 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 7. Let m = -0.22 - 0.08. Let h = -0.2 + 0.3. Which is the closest to h? (a) k (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/833*(-7)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-1 + (-1 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-140))\/((-84)\/1680). What is the second smallest value in 16, 3\/2, -0.5, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15172)\/(-5) + (-15)\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.212, -6, -3, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1782) + (sqrt(1782) + -1*sqrt(1782) - sqrt(1782) - sqrt(1782))))\/(-2*(sqrt(11) + (sqrt(33)*1)\/sqrt(3)))*-2.\nAnswer: 45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/65896 or -302?\nAnswer: -1\/65896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 4\/3*k**3 - 62 - 24*k**2 + 12*k**4 - 4\/5*k**5 + 0*k. Determine i, given that t(i) = 0.\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 6) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (0 - -3))\/1. Let v be ((-12)\/(-15))\/(12\/90). Solve w = -v*c + 3*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -64, 2.\nAnswer: -64, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*a**2 + 842*a**2 + 88*a**2 to u + y*a + h*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 218825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047 a factor of 18396837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -5*z, -5*z = 2*u - 2*z + 8. Suppose b - u = -0*b. Suppose 0 = 2*l + b*m - 74, 3*m - 144 = 2*l - 6*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 3, i: 5, r: 1, u: 2, y: 6}. Give prob of picking 2 y.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.419 and 143.\nAnswer: -59.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1240 - 22?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4*z - 9*u**3*z - 35429*u**3 + 2*u**2*z + u**2 - 708*u + 4 wrt u.\nAnswer: -48*u*z - 54*z - 212574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k = -94*k + 63. Solve 0 = k*d - 4*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1300 (base 6) to base 16\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.6 and -0.022.\nAnswer: -0.7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 60*b**3 + b**2 - 3*b - 4. Let d(l) = -120*l**3 - 2*l**2 + 7*l + 8. Determine -3*d(h) - 5*s(h).\nAnswer: 60*h**3 + h**2 - 6*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -5\/4, 2\/11, -5\/3 in increasing order.\nAnswer: -5, -5\/3, -5\/4, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 9 - -6) - (-27 + 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - sqrt(70)*1)*-3 - sqrt(70)) + -1*sqrt(70)*-6)\/(sqrt(40) - (sqrt(40) + (-2*sqrt(4840) - sqrt(40)))))**2.\nAnswer: 175\/2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35063*g*i*o**3 + 588*g*i*o - 27771432*i*o**2 + o**3 with respect to g.\nAnswer: 35063*i*o**3 + 588*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z + 3*b, 3*z = 4*b - 1 + 21. Put z, 3, 19 in ascending order.\nAnswer: z, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2\/19 + 50*m\/19 - 232\/19 = 0?\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 12, -2*c - 2*o = 1600 + 1556. Let f = -49 + c. What is f rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/21808 and 95\/179916.\nAnswer: 719664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 31*k**7\/7 + 5*k**3 + 14. Find the third derivative of t(m) wrt m.\nAnswer: 3720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9427 = 5*f - 40886, -18*f + 5*q = -181088. What are the prime factors of f?\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 89*n - 1083. Let r be u(-11). What is the greatest common factor of r and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248\/(-182) + 8 + -1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.08 (b) -130 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*k**2 + 1818 + 1803 - 7225 + 1800 + 1804.\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113.9247 and 509.\nAnswer: 622.9247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15365 is divided by 308.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270583.\nAnswer: 270583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (3 - ((9 - 15) + 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 34568286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 4*i - 189*i**3.\nAnswer: -189*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/90*3*(-40)\/24. Which is the third smallest value? (a) f (b) 6 (c) 335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -4 (b) -1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4209\/7 - -601. Which is the third smallest value? (a) -5\/3 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420958.\nAnswer: 2, 109, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 11*g**2 + 3*g - 19. Determine a(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 3. Let p be u(-8). Suppose -59 - 111 = -5*f + 2*k, p*k = 3*f - 83. Suppose 4*t + 0*t = f. Solve 0 = -y - 2*y - t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1489 + 1488.7. What is the nearest to 9 in -5\/2, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -9*w - 13, 3*w - 14 + 9 = -2*p - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*((-4 - -1) + (-10)\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 2*t + 8. Suppose h = 3*h - 16. Let p be n(h). Let i be 184\/p - (-6)\/(-21). Solve i*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -811 + 809 - ((-30)\/9)\/(6\/384417) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 410 = -2*d, -3*d - 11*k = -10*k - 589. Let q(j) = -198*j + 394*j - d*j. Let g(s) = 2*s - 52. What is q(g(x))?\nAnswer: 2*x - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*y - 6*y - 91, -511 = 4*j + 3*y - 391 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {x: 7, h: 4, a: 5}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4\/(-15))\/((-34)\/(-51)))\/((-32)\/(-20)). Let z = 1.7 - -6.3. Let g be (-5)\/55 - 11\/(2420\/112). What is the third biggest value in z, s, 1\/8, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 21. Give g(-16).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 36446 + 72797 - 2*v - 36364.\nAnswer: -2*v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 112687572*o + 45027. Let w(b) = 15017*b + 6. Determine -2*d(n) + 15009*w(n).\nAnswer: 15009*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 34 = o, -o + 476028 = 3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.94*-0.3.\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2646, -8\/25597, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.2879811 rounded to 1 decimal place?\nAnswer: 440.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59443093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-138)\/(-3))\/(-6 + 8). Solve 8*a + u*a + 31 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnuunnuuuunn. Give prob of sequence uu.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -262 - -262.0588. Let w = a - 335.0588. Let i = 334.999857 + w. What is i rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/9 - 223444*a**2\/9 + 446861*a - 2010834 = 0.\nAnswer: 9, 223426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 198 = 182 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 + 2*g + 0 - 3*g. Let y(k) be the second derivative of -k**3\/6 - k**2 - 7*k. Let x be y(0). Let o(b) = 1. What is x*d(z) + 2*o(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 + 6 = 0. Suppose -q*x + s = -51, 4*x + 3*s = -2*s + 67. Calculate the remainder when x is divided by (-2)\/(-6)*(12 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 29. Let m(w) be the third derivative of -w**4\/8 + 13*w**3\/2 + 19*w**2 - 2. Let a be m(i). Solve -l - 2*l + 3 = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 4*a + 4*a)*(12 - 25 - 161) - a - 6*a + 5*a + (2 - 1 + 1)*(0 + 0 - a) as c*a + o and give c.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 9*v**2 + 16*v. Give r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20548711*m - 20548739*m + 41097458*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Suppose 3*r - 3 = w*r + 3*i, r = 5*i + 13. Solve -5*k = -18 + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18758 and 664?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115572286 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1125 and 12925.\nAnswer: 581625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 9*w**2 - 11*w - 3. Let z be i(8). Let c = -19 - z. Suppose c*m - 3*u - 41 = 3*m, 13 = m + u. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(80))**2 + sqrt(80) + sqrt(80))*2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4014122 is divided by 466.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + m = -2*m - 1227, -d = 4*m - 283. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/180 - 91*c**4\/36 + 8281*c**3\/18 - 10*c**2 - 10*c. Factor y(s).\nAnswer: (s - 91)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2539198\/17 and -149365 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*g + 35 + 25 - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409 + 516.5. Let o = 135 - g. Let m = -27 + o. Which is the nearest to 1? (a) m (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -213686 and 1556.\nAnswer: -212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16965 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 8\/(-6))\/(4\/(-12)). Which is the biggest value? (a) 7\/2 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376870 is divided by 1085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 2905*c + 153990.\nAnswer: 5*(c + 59)*(c + 522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (97 - (2 + -8)) + -8?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -12*k + 298. Let n = k + -104. Find the second derivative of 12*i - 2*i + n*i**4 - 39*i**4 wrt i.\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + c - 23 + 3, a - 15 = -2*c. Suppose -28 = 20*y - 18 + 30. Let m(f) = 3*f**2 + 2. Let g(v) = 7*v**2 - v + 4. Give a*m(z) + y*g(z).\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*44\/(-264)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 0.4, -2\/15, 1.1, -0.5 in decreasing order.\nAnswer: 1.1, 0.4, -2\/15, -0.5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2931442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 406 - (48\/(-21) - (-4)\/14). Let r = j + -267. List the prime factors of r.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.1. Let b = 11 - 10.9. What is the closest to b in 5, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6106 + 6107. Let u = -2 - -1.5. Which is the nearest to i? (a) -1 (b) u (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -428, -502, -602, -728, -880, -1058?\n\"Answer: -13*y**2 - 35*y - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3350035 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458.0236 days in microseconds?\nAnswer: 39573239040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619 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: -661158984 divided by 97\nAnswer: -6816072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249778612?\nAnswer: 2, 53, 1178201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - l = 12, 0 = 2*r - 0*l - 2*l - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132404001 (base 5) in base 4?\nAnswer: 2203121003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -5348961\nAnswer: 2139584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*a - 650 = 448*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-26))\/((-26500)\/68900)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 - 4. Let r be t(-8). Let z(p) = 0*p**2 + 2*p**2 + 4*p + p. Determine z(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132738.\nAnswer: 2, 3, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 7215*q + 228470.\nAnswer: -5*(q - 1474)*(q + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2792983*w**2 - 505 + 249 + 256 + 2792980*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 10 + 17\/2*x**2 + 0*x + 0*x**3 - 25\/4*x**4. What is the second derivative of f(z) wrt z?\nAnswer: -150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 12393*a**2 + 3428568*a - 229735440.\nAnswer: -3*(a - 132)**2*(a + 4395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180409 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85\/(-8)*(30 - 1856\/80). Let d be -69 - (-3)\/6*-4. Are d and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - 6*u + 4. Let t be f(4). Suppose 4 - t = -4*x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*w - 24 = 0, 3*w = 2*p - 7*p - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33083555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 32*q + 63. Let z be i(-30). Suppose -3*c = -4*l + 230, 0 = z*l - 0*l + 3*c - 183. What is the remainder when 116 is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*w - 10999 = -2088 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0373255904 rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:46 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 3*s**2 + s - 3. Suppose -157*y = 218 + 410. What is o(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1256*t**3 + t**2 + 5*t. Let z be (-10)\/(4 - (-8)\/(-4)). Let w be a(z). What is w rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.9 - -7.4. What is the nearest to -3\/5 in 1\/4, c, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19530 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfsl when four letters picked without replacement from llllslfzlsfflslskll.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 9*i**3 + 15*i - 8*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 2*z + 58, -3*z + 0*z + 75 = -4*y + 162 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7030 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from nzqcnncncnnn?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmkmmk. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 16?\nAnswer: -99\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gey when three letters picked without replacement from {b: 6, e: 2, y: 1, t: 1, g: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/5 + 3*l**2 = 0. Calculate l.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/((-495)\/(-150) - 3). What is the highest common divisor of 676 and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-22)\/28)*(-3)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175950000 to the nearest 1000000.\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2140, 2136, 2130, 2122, 2112, 2100, 2086?\n\"Answer: -l**2 - l + 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + p**5 - 5*p**5 + (-3*p**3 + 2*p**3 + 2*p**3)*(-p**2 + 2*p - 2*p) - p**5 + p**5 - p**5 + 50*p**5 - 15*p**5 + 0*p**5 - 2*p**5 - p**5 + 5*p**5.\nAnswer: 34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2*u\/((u*u**(2\/5))\/u))**(1\/9))**(-49) assuming u is positive.\nAnswer: u**(98\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 12*u + 1. Let v be o(-6). Let g = 3.9 + -3.4. Which is the third smallest value? (a) v (b) g (c) 0.4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwspswpwspsssswps. Give prob of picking 2 s and 2 p.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 385587869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870315 and 405?\nAnswer: 23498505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/133 + (-7944892)\/(-38). Suppose -2549592 = -3*a + d. Let o = a - 1489556. Round o to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314448 divided by 34544?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*j + 7, 0*t = 4*t - 2*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/391 + (0 - (-1834)\/17). Let t = q - 105. Solve -n = -3*h + 14, -t*h - 2*n + 0*n = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*v + 135, -a - v + 144 = 3*v. Let l be (-3891)\/(-15) + 7\/(a\/(-8)). Calculate the greatest common divisor of l and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95432994 and 3690.\nAnswer: 477164970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:51 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 533 - 526. Solve 0 = -3*s + 2*b - 7, a*b - 3 = 3*s + 4*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/(-7) + -1 + 9\/21. Let k(x) = -9*x - 74. Let n be k(q). What is the highest common factor of n and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 21*l**3 + l**2 + 85*l - 242. Give x(3).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - 793\/(-35) - 4\/5. What is the third smallest value in -4, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 - -2) - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1844*q**2 + 9221*q - 25. Calculate n(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-240))\/(1\/4)*-12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10*-25*24\/180. Is (24437\/((-28)\/k))\/(0 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.75 + 0.15. Let l = -1.5 + 0.5. Let o = b + l. Sort o, 5, 4.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d*l*t*w - 406*d*l*w + 79*d*l - 3*d*w + 57*l*t*w - 20*t*w - 2*t wrt t?\nAnswer: -11*d*l*w + 57*l*w - 20*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81842790 rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*w - 4 + 630*w + 643*w + 641*w - 2566*w.\nAnswer: -18*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6854.14 - 6761. Let j = -94 + z. What is j rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atb when three letters picked without replacement from {a: 1, t: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 548*g*z**2 - 511*g*z - g wrt z?\nAnswer: 1096*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 789, 1061, 1333, 1605?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37958484 divided by 18979242.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 3. Give a(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-20) - 12\/30. Let q = 186 + -520. Let v = 337 + q. Put v, i, -1 in descending order.\nAnswer: v, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-18) - 4\/18. Let n be (-5)\/2*(2 + a). Let k = -34 - -34. Solve i = -k*i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 2*b + 5*u + 19, -3*u - 87 = 3*b. Let h = b - -38. Solve -4*t - 5 = -h*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -3.5. Let j = -2.1 + 1.1. Put n, j, -1\/5 in descending order.\nAnswer: n, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 + -863. Let k = h + 540. What is the smallest common multiple of k and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(120)\/sqrt(4)*4 - sqrt(240)\/(sqrt(8) + sqrt(72)))\/((sqrt(72)\/sqrt(2))\/sqrt(6) - (sqrt(216) - -1*sqrt(216))).\nAnswer: 13*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0525 - 8.0525. What is the third biggest value in -2\/7, m, -17, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:53 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 34, 14, 0.5, 25 in descending order.\nAnswer: 34, 25, 14, 0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -5, 2 in descending order.\nAnswer: 2, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 302544709 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 32. Let k = -38 - u. Let p = 88 - 86. What is the closest to p in -0.4, k, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -305*r - 210. Is 81 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 248928 - 2?\nAnswer: 248926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*z + 3. Suppose 5*o + 4*k = -0*o + 182, 3*k = z*o - 127. Let f = o - 23. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*o*p**2 + 317*o*p*z**3 - 107527*o*p - 3370*p**2*z**5 - 2*z**2 wrt z?\nAnswer: 1902*o*p - 202200*p**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1807.\nAnswer: 2\/1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2\/20*-6 + 1568\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2 + 22. Let i be r\/18 + 40\/(-18). Sort -1, i, -4.\nAnswer: -4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14350375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301239 is divided by 572.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 5275 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126 times 5394?\nAnswer: -679.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i. Let z(l) be the first derivative of -l**2\/2 + 20*l - 3. Let x be z(12). Let w(q) = -10*q**2 + 20*q**2 - x*q**2 - 5*q**2. What is w(d(g))?\nAnswer: -243*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2541) + sqrt(2541)*1)*6 - (sqrt(2541) + sqrt(2541) + 1*sqrt(2541) + sqrt(2541))*4)\/(2*-5*-1*sqrt(28)))**2.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 15. Suppose 3*k + 71 = -m + k, 243 = -3*m + 4*k. Let w be m\/(-4) - (-51)\/68. Calculate the greatest common factor of w and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146.07207142277 + 2.\nAnswer: 148.07207142277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 459 to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 3*v + 5, 4*v = -3*y - 15. Calculate the smallest common multiple of (y - -28)*(-270)\/(-81) and 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 3.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g - 20. Let m be p(-8). Which is smaller: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139056 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = 8. Let y be (-2)\/4*z*-13. Solve -46 + y = 5*p + 4*m, -2*p - 8 = -m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10251 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: Let k = -27 - -33.2. Let l = k + 0.8. Let v = -13 + l. Do 0.1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*i*s**3*y**2 + 768*i*s**3*y - 2*i*y + 41*s**3*y**2 - 2*y**2 - 1 wrt y.\nAnswer: -40*i*s**3 + 82*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11280)\/870 - -12)*-87.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28566 = -1621*h + 200*h + 800*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 - 4*j**2 - j**2)*(11*j**2 - 5*j + 5*j) + j**4 + j**4 - 5*j**4 to the form k*j**2 + x*j**3 + d*j + f + g*j**4 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + -9 + -11 - (47 - 54)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 22*m**2 + 2*m - 41. Determine c(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4845384 and 2191626.\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3067, 3124, 3181, 3238?\n\"Answer: 57*a + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5890 and 19\/1386630.\nAnswer: 26345970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3558, -2\/17, -3\/7 in decreasing order.\nAnswer: -2\/17, -3\/7, -3, -3558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -956\/45 + 213\/10. Let v(p) be the first derivative of 7\/45*p**5 - 1\/27*p**3 - 5 - 2\/27*p**6 + 0*p + 0*p**2 - n*p**4. Factor v(z).\nAnswer: -z**2*(z - 1)**2*(4*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.149 + 0.051. Sort 2\/13, -2, -6, f in descending order.\nAnswer: f, 2\/13, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378 is divided by 137.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 + 26 = 0. Let s = -13 - k. Suppose 18 = -2*m - m. Is m at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -63, -74, -99, -144, -215?\n\"Answer: -o**3 + 2*o**2 - 2*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 3*n - 3*n)*(0 + 0 + 2*n**2) + 2*n**3 + 2*n**3 - 5*n**3)*(-37 + 37 + 15*n)*(-4 + 2 + 1).\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -0.2 (b) -0.4 (c) -1 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 6\/9 - 1162\/(-21).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 16*b + 39. Suppose -n - b = -58. Suppose 35*a - n = 30*a. What is the greatest common divisor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1572 and 2888157?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0301, 5\/7, -11, 0.5, 39 in decreasing order.\nAnswer: 39, 5\/7, 0.5, -0.0301, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 3*m + 4. Suppose 25 = 7*r + 4. Let s(c) = c**2 + 2*c + 3. Let x(z) = r*a(z) - 4*s(z). Let y(h) = 7*h**2 - 6*h - 1. What is -5*x(n) - y(n)?\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 11:20 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1209*n**2 - 606*n**2 - 9 + n + 0*n - 4*n**3 - 608*n**2 to the form k + w*n**2 + i*n + m*n**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/93)\/(5\/(-3))*(-137860)\/(-82716).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027819301 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -h + i, -i = 5*h - 2*i + 146. Let j be 2\/4*0 + 50. Let y = h + j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 11*t - 4. Let s(f) = -3*f**2 - 10*f + 5. Suppose -5 = 5*b, 2*b - b + 13 = 3*k. Let c(d) = k*o(d) + 5*s(d). Is c(7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(-120) - (12\/75)\/((-52)\/(-130))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8953 - -0.4953. Sort 1\/4, 0.08, 0.3, 47, r in increasing order.\nAnswer: r, 0.08, 1\/4, 0.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 27749 + -25441. Calculate the highest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1116 (base 7) to base 6\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 41, 32, 21, 8, -7?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113795 by 5.\nAnswer: 22759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*((-183)\/405 + 0) and 8\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25825 + 6270. Let a = -1076 - g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 636341328 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489630 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 28 = -170. Suppose -3*w = -6, 3*m + 5*w - w + 106 = 0. Let c = g + m. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylq when three letters picked without replacement from cqcsclyc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, i: 3}. What is prob of picking 3 z?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 90.9 (b) 3 (c) 1\/41 (d) -2\/721 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*o + 439*o - 41040 = 0 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 109744899.\nAnswer: 109744899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -312*j + 8. Let o be m(2). Calculate the least common multiple of o\/(-76) - 4\/38 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 2. Suppose 0 = x - 1 - 4. Suppose -3*i - 74 = -5*k, 72 = 5*k + x*i - 18. Let p(u) = u**2 - 15*u - 18. Let l be p(k). Give g(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-15)*((-2979250)\/1020)\/701?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275 - 732. Let b(q) = q**3 - 19*q**2 + 7*q - 63. Let x be b(18). Let z = x - o. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 + 4*h - 7. Let u(o) = 7*o**2 + 5*o - 6. Calculate -7*u(i) + 6*v(i).\nAnswer: -19*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251865882.\nAnswer: 2, 3, 37, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 7 + 0*y - 1\/3*y**3 - 3\/4*y**4 + 0*y**2. What is the third derivative of u(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*a - 27, w + 3*w + 4 = 0. Let d be (0 - 0)\/(a\/3). Is (d + -2)*(-2 + -2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - 5*b - 4. Let x be t(-4). Suppose 7448*j - 7473*j = -500. Solve x = -6*r + r + j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 - 1) + (6 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785339.\nAnswer: 79, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -271, -538, -805, -1072, -1339, -1606?\n\"Answer: -267*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -414*b + 31. Let a(k) = 83*k - 6. Let f(n) = -11*a(n) - 2*l(n). List the prime factors of f(-3).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 23) + -3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 3, u: 4, y: 4, t: 2}. Give prob of sequence ff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o + 17. Let m be l(-5). Suppose -2*b + 3*z = 8*z - 78, -2*b = z - m. Suppose -27*x = -b*x + 502. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1512)\/(-840))\/((-3)\/4)*20\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 20. Suppose 4*y - d = 38, 2*y + z*d + 19 = 3*y. Solve -8*c + 1 = -y*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376 + -377. Let j be 3*(15\/o + 0 - 2). Is 3 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 - 176. Suppose 4*n = 8*n - a. Calculate the highest common divisor of n and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/((-5*sqrt(28))\/sqrt(7)))**2 + 2.\nAnswer: 69\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 6, -908, -612 in decreasing order.\nAnswer: 6, 3, -5, -612, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2064*q - 4075*q + 4417 = 34582 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/299884 and -55\/8.\nAnswer: 599768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(8)\/sqrt(4))**2 + (-1*sqrt(10))\/sqrt(5).\nAnswer: -sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 90*r - 89*r = 3547, 0 = z - 4*r - 701. Solve -710*y + z*y + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 10842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4))**16\/(g*g*g\/(g**(4\/9)*g)*g*g*g\/g**(3\/7)*g) assuming g is positive.\nAnswer: g**(433\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = 5755. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - -1 - (2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - o - 16 = o, -5*m = 3*o + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -0.0147212?\nAnswer: 0.1324908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -145*v**2 - 2*v + 8. Let p(d) = -144*d**2 - d + 9. Let u(y) = 3*p(y) - 4*s(y). Is u(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -20401\nAnswer: -367218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2 = -t + 2*t, -2 = -t + 3*h. Suppose -t*m = m. Let w(n) = -n**3 + 10*n**2 - 9*n + 4. Let v be w(9). Solve -2*o = -m*o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:40 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 13 + 0*x**4 + 0*x**2 - 39\/5*x**5 - 15*x**3 + 0*x. Find the third derivative of c(y) wrt y.\nAnswer: -936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -57. Suppose 5*q + 1943 + 752 = h*m, -1633 = -3*m - q. Suppose -4*x + m = 3*f, 8*x + 3*f - 678 = 3*x. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -22, -30?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*m**2 + 769*b**2 - 31*b*m**2 + 46*m wrt b.\nAnswer: 2*m**2 + 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*t - 392, 580 = -3*a + 6*a - 2*t. Let k = a - 94. Suppose 0 = 4*u + u - k. Calculate the remainder when 79 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 96 = 12*w. Suppose -2561 = -3*i + w*i. Which is greater: i or -198?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 47701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 13147239?\nAnswer: 170914107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21078?\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4\/2 - 1609*x**3\/4 - 1408*x**2 + 551697*x\/4 + 556605\/2 = 0. Calculate x.\nAnswer: -155, -21, -2, 171\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v + 27. Let h(p) = -5*p - 27. Give -5*h(u) - 4*r(u).\nAnswer: -7*u + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5786, -7623, -9464, -11309, -13158, -15011?\n\"Answer: -2*u**2 - 1831*u - 3953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - t - 4*t. Let w = -20 - -29. Let r(x) = x + 10*x - w*x. Give r(v(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358236 (base 10) in base 15?\nAnswer: -318b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000094 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*g - 2, -6*r = -4*g - 4*r + 16. Sort 1\/4, g, -1\/7.\nAnswer: -1\/7, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*q = -7*i + 18, 31 = 3*i + 5*q. Suppose i*o - 7*o - 2 = 3*b, 3*b + 20 = 4*o. Let n be -1 + -7 + 20 + -3. Put n, 5, o in decreasing order.\nAnswer: n, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 0, -m - 2*k = 4*m - 45. Let l = -7 + m. Factor 2 - 3*t - l*t + 2*t**2 - 4 - 2*t**3 + 7*t.\nAnswer: -2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/2*(1128\/(-423))\/(28\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23227 - 2880 - 3461 = -388*u - 284*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7930 + 6518 = 611*i + 9586 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 0 = w + v*w - 63. Calculate the remainder when 60 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*z - 8, z + 4 = k + 6*z. Solve 3*l + 2*m = 6*m - k, 0 = 3*l - 5*m + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**7\/14 + 16*i**6\/3 + 1391*i**5\/18 - 5840*i**4\/3 + 26645*i**3\/2 + 2*i**2 - 1769. Suppose k(r) = 0. Calculate r.\nAnswer: -73\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304861 = -2373*r - 105529 for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) 2\/97 (d) -4\/43 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 44*j**4 - 58604*j**3 - 181828*j**2 + 357420*j + 480600 = 0?\nAnswer: -45\/11, -1, 2, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*(w**0\/w)\/w*w)\/w)\/w*w)**18)**(-1\/9) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463 - 461. Let y(w) be the first derivative of w**5\/24 - w**4\/12 - w**3\/3 + 6. Let d(b) be the third derivative of y(b). What is d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*(-6)\/(-24)*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36556186.19 - -0.01?\nAnswer: -36556186.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 149 + ((-3)\/(24\/128) - -9). Solve k*h - 149*h - 14 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 536\/(-201)*(-27)\/(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 + 4*t**2 - 3*t - 1. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*p**2 + 137*p - 105*p - 15*p**2 wrt p?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83113 divided by -6?\nAnswer: -83113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsqesee. What is prob of sequence sees?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42 - 107 = 0. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126941 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-9060.6\nAnswer: 453.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*b - 40 = -101*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j)*(-1 + 1 + j**3 + (-1 + 1 + 2*j**2)*(j + 0 + 0) + j - j**3 - j + j**3 + 0*j**3 + 2*j**3 - j**2 + j**3 + j**2).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*a + 22*a - 15. Let n(z) = z**2 - 2*z + 2. Calculate n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 6. Let k be v(7). Let f = -2.8 - -2. Let x = 0.6 + f. What is the smallest value in -0.5, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = -2*k, -k = -4*d - d + 8. Let j(t) = 6*t**2 + 4*t - 5*t**2 + t**k. Is 6 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 2*t - 4*n - 20, 0 = 5*n + 25. Let p be ((-105)\/(-250) - t)*(-2)\/3. Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 42 = 0. Suppose 7 = g - a, 65 - h = 3*g + 3*a. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(-5\/3)*w**(-3\/5)*w\/(w\/((w\/w**(1\/5))\/w)))**10 assuming w is positive.\nAnswer: w**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 204.771641.\nAnswer: -205.571641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 270 + 60. Let l = -59 + d. What is the least common multiple of 16 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497883549 to the power of 1\/3, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 9\/2, -12, -0.2, -2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15))**5*d**(-9)\/d**(-3\/7) assuming d is positive.\nAnswer: d**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 4, f: 4, w: 1, b: 2, l: 1}. Give prob of sequence bd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 12*a**2 + 19*a - 8. Let v be y(-10). Suppose 29 + 91 = i + 5*q, 321 = 3*i + v*q. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38570, 77143, 115716, 154289?\n\"Answer: 38573*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j**2. Let p(z) = 187 + 216 - 599 - 120*z + 196 - z**2. Give p(l(c)).\nAnswer: -900*c**4 - 3600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from fccdffffcffkafffac.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/42)\/(1\/(-12)). Calculate the greatest common divisor of u and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.7 or 23824?\nAnswer: 23824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 5, 1, 8 in decreasing order.\nAnswer: 125, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2357 + 2013?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65407, 65402, 65395, 65386, 65375?\n\"Answer: -f**2 - 2*f + 65410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l - 3. Let t be i(9). Let x(r) = -54 + 9*r - 3*r - 64 + t. Let k be x(3). Sort -1, -5, k, -2 in descending order.\nAnswer: k, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178b43 (base 13) to base 14.\nAnswer: -1153b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360.78021 rounded to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.650831 rounded to 3 dps?\nAnswer: -3.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8981945 and -2.\nAnswer: -17963890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -350*h + 160. Let w(i) = -13*i + 6. Let x(t) = 3*k(t) - 80*w(t). Let q(l) be the second derivative of l**3\/3 + 2*l. Give x(q(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 127918360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43341797 is divided by 43341784.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-5\/7)))\/k**(-4\/7) assuming k is positive.\nAnswer: k**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-385)\/(-1153020))\/((3 - 1)\/80). Let x = c + -88959\/76868. Calculate the common denominator of x and -137\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116834391?\nAnswer: 3, 12981599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:55 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 6\/(-10))*(-7 + 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62330*c = 62910*c - 9860 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 17\/12*w**4 + 0 + 6*w + 0*w**3 - 8*w**2. What is the derivative of n(i) wrt i?\nAnswer: 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 619020 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 462, 683, 904, 1125, 1346?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255691167?\nAnswer: 3, 6781, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6516 and 310832.\nAnswer: 506345328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13525 or -13481?\nAnswer: -13481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78441168 divided by 6033936?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233451813?\nAnswer: 3, 7, 1181, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 83*h**2 - h + 12. Let i be p(-3). Suppose -4*f + 5*l + i = 0, 2*f = -3*l - 164 + 556. What are the prime factors of f?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Solve -5*n = c - 10, -3*n - 4*c = -3*c - r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17426 + -836491\/48. Find the common denominator of l and -31\/594.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9223, -9227, -9231?\n\"Answer: -4*x - 9219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6. What are the prime factors of 46*w\/(-2) + 3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2781, 5963, 9147, 12333, 15521?\nAnswer: 18711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 16. Let y be p(-4). Suppose -4*u + 31 + 39 = 3*s, 8 = -4*s. Suppose -y = g - u. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/57? (a) 0.4 (b) -0.1 (c) 4.8 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-7 - -3 - -3). Suppose -n*z + 30*z = -b - 3, 3*z - 3 = -3*b. Put -5, b, -16 in decreasing order.\nAnswer: b, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b. Let d be s(-4). Let x(f) = 4 + 1 + 0 + f. Give x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n**2 + 286*n - 105. Let r be h(25). What is the greatest common factor of r and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9288.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*r - 27*r - 61*r - 18*r - 55*r - 58*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = k + 45, -2*k + 15 + 71 = 5*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14631 divided by -3.\nAnswer: -4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxcicccrxcirxc. Give prob of picking 1 r and 2 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/5, -3\/4, 13, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -799*n**2 - 153. Let j(s) = 21*s**2 - s + 3. Let r(g) = -g - 1. Let y(c) = -j(c) + r(c). Give 4*x(l) - 153*y(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 179*v + 69815. Determine u(-390).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10 + 8 - 4 - 4 + b**2 - 3*b - 4. Calculate u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 2.08. Let v = n + 1.1. Let y = -0.409 - -0.009. Which is the nearest to -2\/9? (a) v (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose -2*v + 2*w = -n*v - 36, 0 = -4*v + w - 153. What is the remainder when 2\/4 + v\/(-4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887009 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000202747833 rounded to 7 dps?\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6535 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28809499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + 42. Suppose 2*f - m = -3*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 330\/(-126) + 2 + 6\/21. What is the nearest to c in 2\/5, -5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.132914333 + 0.3.\nAnswer: -3.832914333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18199515 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u - 15 = 0. Let x = 9341 + -47243\/5. Let k = -107 - x. Which is the nearest to -2? (a) u (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5436 and 9780?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2 - 126684*t - 395971920 = 0.\nAnswer: -28155, -3516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.151 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003538474056 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97844760007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*x, 3*w + 0*w = 5*x. Let y = x - -10. Solve 5 + y = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*z - 3024842 - 5034818. List the prime factors of z.\nAnswer: 2, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3646348 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 21 = p, -2*o = -5*p + 3*o - 25. Let a(n) = -133*n**3 - n - 1. Is 40 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 6. Is 23 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290136710 to the power of 1\/3, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 - 162*j**4 + 1989*j**3 - 9618*j**2 + 19548*j - 14040 = 0 for j.\nAnswer: 2, 5, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - a**2 - 5*a**2 - 6*a**2 - 3*a**2.\nAnswer: -15*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w = 735 + 252. What is the remainder when 649 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*h - 77 = 70, 2*h = -2*a + 142. Suppose 0*b + b - 5*k = a, 0 = 2*b - k - 150. What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 177 = -3*x. Which is smaller: -58 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88347213, -88347208, -88347203, -88347198, -88347193, -88347188?\nAnswer: -88347183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/331 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + u + 0*u = -2, j - 6 = 3*u. Suppose 4*w + 4*y - 682 = 2*w, 5*w + 4*y - 1693 = j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let f(z) be the third derivative of 11*z**5\/20 + 135*z**2 - 2*z. What is p(f(y))?\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79842239063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/8 + 3*s**4\/2 - 17*s**3\/4 - 153*s**2\/2 - 567*s\/8 = 0.\nAnswer: -9, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 261801.4 micrograms in tonnes?\nAnswer: 0.0000002618014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.281 - 16863\nAnswer: -16864.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219445 + 302922 - 190769 = -9036*s - 219598 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 40. Let i = -19.00000047 - z. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:22 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -12. Let i be (t - 2)\/((-5)\/15). What is the greatest common divisor of i and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -118. Let h(a) = -2*a - 7. Give h(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -69\/4. What is the nearest to n in 0.1, 4, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7161 is divided by 491.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 94*s to the form d + p*s and give p.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000001 + 101?\nAnswer: -1001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a285 - 4?\nAnswer: -a289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*r**2 + 2*i**2*r**3 - 15*i*r - 905*r**3 wrt i?\nAnswer: -3*i**2*r**2 + 4*i*r**3 - 15*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(-14*(-35)\/102900).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*c - 31*c + 179000. What is c rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29786?\nAnswer: 2, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -642 - -641.9. What is the nearest to q in 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + 4. Let v be k(-8). Suppose h = v*a - 4, h - a = 6*h - 43. Suppose -203 = -h*n + 285. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003 (base 12) to base 14\nAnswer: 8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 - 143?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134148 divided by -3.\nAnswer: -44716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23321020032 - 2?\nAnswer: 23321020030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 288*v - 285*v - 39 = 0, 2*l + 262 = 16*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1698)\/28)\/(12\/16). Let f be 309966\/2128*(-2)\/3. Let d = u - f. What is the common denominator of d and -29\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -67.98. Let u = -37\/21 - -10\/7. Which is the fourth smallest value? (a) r (b) u (c) -2\/9 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1243.15 to the nearest 10.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + 112. Let z(m) = 2*m**2 + 1. Let a be z(1). Sort a, 4, g.\nAnswer: g, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 55*k - 60*k. Let a(f) = -2*f - 7. Let r be a(-6). Solve 3*o = -k + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63999 divided by 132?\nAnswer: -21333\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 1, l: 1, y: 2}. What is prob of sequence gryl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*o + 12730 - 17701 = 17229 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38 take away -209?\nAnswer: 207.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 + 3*q - 2. Determine v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 657436185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/11, 0.2, 2\/29, 93\/80?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**4 - 2*q**2 + 5808*q - 4505. Differentiate m(y) wrt y.\nAnswer: -24*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**4 + 195005*u**3 - 3703984*u**2?\nAnswer: -96*u + 1170030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3487752 (base 10) to base 8\nAnswer: 15234010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2246.8 (c) -34 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*v**2 - 14*v**2 - 1 - 18*v + 1 - 18*v**2 to o*v + a + k*v**2 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 + -350 + (2 + -4 - -23).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.8961 rounded to zero decimal places?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i - 50*i - 48*i + 143*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u**3 + 253*u**3 - 135*u**3 - 55*u**3.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 + 3*n - 3. Is 19 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/93)*x*x*x**(1\/11))**(-40) assuming x is positive.\nAnswer: x**(-86440\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 + -141516?\nAnswer: -141422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-153) + (-1 - 38\/(-72)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-7)\/(28\/(-8)) + 2. Let c = -7\/55 + -26\/55. What is the third smallest value in -3, q, -25, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 6*o - 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 511800*k**2 - 46540676*k = 0. What is k?\nAnswer: 0, 91, 127859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6292)*-1*-4)\/((sqrt(144)\/(sqrt(48)\/sqrt(4)))\/sqrt(3))*-1.\nAnswer: -88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(198*g**3 + 171*g**3 - 438*g**3)*(17 - 17 - 5*g).\nAnswer: 690*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20751, 50250, 88499, 135498, 191247?\n\"Answer: 4375*r**2 + 16374*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 277*r - 6648. Let j(f) = -173*f + 4432. Determine 8*j(s) + 5*k(s).\nAnswer: s + 2216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3131 (base 6) to base 4\nAnswer: 22333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:26 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 6, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/32 + (-1)\/(-4). Let s(t) = -5*t - 2*t**2 + 3*t + 3*t**3 - w + 6. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 13*k**9\/504 + 9*k**6\/40 - 5*k**5\/12 - k**4\/8 + 777*k**2. Find the third derivative of x(a) wrt a.\nAnswer: 1560*a**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38590327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let u(i) = -3*i - 14*i**2 + 11*i - 8*i. Calculate u(w(x)).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-95)*6\/(-4). Sort 11.2, -2\/15, u.\nAnswer: u, -2\/15, 11.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:28 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 3*s - 1. Let u be c(3). Let l(z) = -5*z**2 - 3*z + 1. Let h(i) = -11*i**2 - 7*i + 2. Let g(b) = 3*h(b) - 7*l(b). Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30657898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b*l*v - 1980*b*l + 40434*b*v + 4*l*v with respect to l.\nAnswer: 5*b*v - 1980*b + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let r be (183 - d\/2) + -2. Suppose 0 = 8*n - 3*n - r. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 10*m**2 + 721*m - 3*m**3 - 644*m + 0*m**3 to the form q*m + u*m**2 + s*m**3 + x and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (261\/135 - 2)*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 8. Let b be (3 - 2)*o\/(-1). Suppose b*h - 2*s - 6 = 0, 0 = -h + s - 0 + 2. Solve k + h = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20040.64898 to the nearest integer.\nAnswer: 20041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 963*h*r - 4*h + 16 wrt r.\nAnswer: 963*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-56)\/308 - (-34)\/66).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*h**2 + 46*h**2 - 4*h**3 - 1 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22520466 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 117.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5832155469 to the nearest integer?\nAnswer: 76369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1 + sqrt(405))**2*-2.\nAnswer: -3242 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4808*q**3 - 8813*q**3 + 4701*q**3.\nAnswer: 696*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -77.4. Let t = r + 8.4. Let f = -185\/3 + 62. What is the third biggest value in 17, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285831510 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdd when four letters picked without replacement from tddddtdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*b + 11, b + 2 = 4*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1415 - 545*q**2 - 710 - 706.\nAnswer: -545*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.16. Let s = 2.86 + g. What is the third biggest value in -5, s, -2\/11, 2\/23?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from eenw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(3\/4)\/d*d)*d))**15)**(1\/7)\/(d\/((d\/d**(-4\/3))\/d*d)*d*d*d*d**(2\/3)*d*d*d**(-1\/4)\/(d*d*d\/(d**(-3)*d))) assuming d is positive.\nAnswer: d**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f. Let j(l) = 28*l + 36 + 35 - 156 + 43 + 41. Calculate 2*j(n) + 7*y(n).\nAnswer: -7*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -420953 - -1419766. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3528\/96 + -37)*(3 - -4)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45200 and -0.1.\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i. Let o = 95 - 133. Let b = -35 - o. Let c(k) = 3*k. Let r(t) = b*c(t) - 2*z(t). Let h(j) = -4*j. Determine r(h(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 * 0.0033.\nAnswer: -0.000957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 178*n - 4437. Calculate v(-68).\nAnswer: -1581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y**2 + 3*y**2)*((-1 + 8 + 4)*(0 - 1 + 0) + (0 - 1 - 1)*(0 - 1 + 0) + 8 - 7 + 5).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-6))\/((-2)\/4). Suppose -l = 5*f - 26, k*f - l - 17 = -3*l. Solve 0 = -5*d - f*w + 40, -5*d + 39 = 3*w + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/360 + 2\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336*s**4 - s**2 + 80*s.\nAnswer: -8064*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4060000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 1. Let z(q) = 9*q**2 - 4. What is 6*c(p) - z(p)?\nAnswer: -3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15635, 31160, 46589, 61934, 77207?\nAnswer: 92420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28222338 (base 9) to base 7\nAnswer: 226401533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in -40, -0.5, 0.572, 2\/17?\nAnswer: 0.572","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuueeueeuee. Give prob of picking 1 e and 3 u.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1655 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + f - 547 = -3*o, -2*f = -5*o + 2742. Suppose v = -5*i + 447 + o, 4*v + 620 = 3*i. Let t be (-652)\/(-2)*i*250. Round t to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*126\/84. Which is smaller: 1\/18 or s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4 + 1. Let l be 4*1 + -5 + h. Solve -3*m + l*m + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.32513 rounded to two decimal places?\nAnswer: 20.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Is 13 a factor of ((-4 + n)*13)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 661 + 1799 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 + 2*b - 2. Is a(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8065*k - 7556*k + 15625*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -3. Let k = o - -9. Solve -3*l = -3*z - k*l, z = 4*l - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, r: 1, u: 2}. Give prob of sequence umrm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1260*a*n**4 - 8*a*n**2 + 9*a*n + 2*n**4 + 2*n**2 - 1 wrt n.\nAnswer: 30240*a*n + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32\/27 - -598\/459. Let z = -118 + 113. Sort z, m, 2\/3 in increasing order.\nAnswer: z, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 592 * -0.2.\nAnswer: -118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 6*j - 8*j**3)*(-4*j + 3*j - j) to the form s + b*j**4 + f*j + o*j**3 + t*j**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = d - 4*d + 13, -4*d = -5*c - 22. Let i be c*(-3)\/(-12)*0. Suppose -134 = -4*w + z, i*w - 3*w + 95 = 2*z. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c - 107. Let r be l(11). List the prime factors of (-3)\/15 - (-10980)\/r.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and 38\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Suppose 5*g - 48 = g. Suppose 4*k - g = 4. Let u = -9 - -4. Let d(t) = 2*t. Calculate k*b(n) + u*d(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2)**2*-6 + sqrt(14)\/(sqrt(2)*3*-5 - sqrt(2)) + -3.\nAnswer: -6051 - sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 7. Suppose 0 = -5*a + 7*a - 10. Calculate the remainder when 23 is divided by r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -65, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76456 is divided by 4493?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**2 - 15*d**4 + 7*d**2 + (-6*d**3 + 2*d**3 + 2*d**3)*(0*d - 3*d + 2*d) + 3*d**4 - 4 + 4 + 3*d**3 - 3*d**3 + 2*d**4.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/19 - 24*t**3\/19 - 54*t**2\/19 + 8*t\/19 + 72\/19 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j - 9. What is k(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**2 - 2*b - 2. Let x(s) = -s. Let m(t) = -5*t + 1. Let o(q) = -m(q) + 6*x(q). Let y(a) = 2*o(a) - r(a). Let p(v) = v**2. Determine p(y(n)).\nAnswer: 121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/35 + 51\/280. Sort n, 5, 0.2, -3\/4.\nAnswer: -3\/4, n, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8963, 8507, 8045, 7571, 7079, 6563, 6017?\n\"Answer: -o**3 + 3*o**2 - 458*o + 9419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*g = 225 - 23, 246 = 5*n + 3*g. Let x be 32\/n*(-6)\/(-20). Let p be -2 + (-1)\/(2\/4). Which is the closest to -0.1? (a) p (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 2247?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - -0.76. Let p = 0.2 + s. Let f = p - 0.999994. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 28*w + 703. Let s be m(-25). Let u(a) be the third derivative of 1\/24*a**4 + 0*a + 0 + 7*a**2 - 1\/3*a**s. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(600) + sqrt(600)*2 - sqrt(600))\/sqrt(10))\/sqrt(12) - (-3 + (sqrt(5) - sqrt(30)\/sqrt(24)))) + 4)*-4.\nAnswer: -28 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28825128 and 66424.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, i: 1, x: 2, h: 2, n: 1}. Give prob of picking 1 o, 2 h, and 1 l.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60223620*u**3 + 40140335 with respect to u.\nAnswer: -180670860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -62 + 34 - 51.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2447*t - 12. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24240221 (base 6) to base 11\nAnswer: -484551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132956, 265918, 398880?\nAnswer: 531842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2166541 (base 8) in base 9?\nAnswer: -1081483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 7. Let i be n(3). Suppose 5*u + 5 = -i*c, -c = -4*u + 3*u - 8. Suppose -c*l = 1 - 46. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55113041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 108*y**2 + 213*y + 2486. Let p be v(-106). What is the highest common factor of 175 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 2*b + 4*o + 28, 5*b - 3*o + 11 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 14*p. Solve 0 = 3*l - 2*k - 3, p = l - 4*l + 3*k + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - (-4)\/(-6). Let d = m + 10. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.4, -3, 1\/8, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-345)\/36))\/((-1)\/15*-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 9114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74758\/11 - -6801. Let y = -1\/2 + -131\/6. Find the common denominator of y and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32110?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + s - 5*s**3 - s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h**3 - h**2. Let a = -1 - -2. Calculate j(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166105\/4170 - 3*120\/9\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or 1\/20?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.2 + 8. Let s = q + 0.2. Let k be ((-2)\/(-5))\/((-3)\/(-5)). Put 1, k, s in ascending order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + (2 - -2)) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let b be p(0). Suppose -2*n + 2 + 2 = b. Let t = n - 3. Let j(i) = 5*i**3 + i**2 - 1. Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 2*r - 1. Let h(y) = 78*y**2 - 8*y - 4. Give -4*g(v) + h(v).\nAnswer: 74*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04517304 rounded to 4 dps?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202381213?\nAnswer: 7507, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n - 2. Let r(s) = -6*s + 6. Let d(v) = -5*v + 5. Let f(b) = 5*d(b) - 4*r(b). Let a(l) = -4*f(l) - k(l). Give a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 5*h**4\/12 - 5575*h**3\/3 + 6216125*h**2\/2 + 4037*h - 1. Let b(v) = 0. What is v?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 2, r: 2, a: 2, p: 1}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 - 8*h - 9. Let f be 9\/(-1)*1 - -3. Let t be m(f). Factor -8*k + 8*k**t - 8*k**2 - 2*k**4 + 8*k.\nAnswer: -2*k**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.14, 6, 215\/3, -4 in ascending order.\nAnswer: -10.14, -4, 6, 215\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 51570890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.75. Let k = f - -0.25. Let i(j) = -8*j**2 - 121*j - 8. Let q be i(-15). Sort 0, -0.4, q, k in ascending order.\nAnswer: -0.4, 0, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*o**3*s**2 - o**3*s + 130*o**3 - o**2*s**2 - o*s**2 + o - 600*s**2 wrt o.\nAnswer: 174*s**2 - 6*s + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 43, 74, 107, 142, 179?\n\"Answer: y**2 + 26*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 7*l + 122. Let k be j(0). What is the second derivative of 863*r**4 + 87*r**5 - 863*r**4 + k*r wrt r?\nAnswer: 1740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 0.14. Let n = v - 0.94. Which is the third smallest value? (a) -3 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let k(l) = 53189*l**2. What is h(k(j))?\nAnswer: -106378*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -12. Let q = 1 + b. Let g(h) = 10*h**2 + h - 1. Let y be g(q). Solve -10 - y = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-227)\/(-4) + 507\/(-52) + 10. Solve 5*d + k = 24*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 123?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, l: 4, e: 7}. Give prob of picking 1 y and 3 l.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 3*i**2 - 4*i - 2. Let j be r(-3). Let f be (-8)\/(-5) - (-4)\/10. What is the highest common divisor of j and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2)*((1 + 7 - 3)*(3 + 4 - 5) + (5 + 2 - 5)*(1 + 5 + 4)*(0 - 1 + 0)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 e when three letters picked without replacement from gggmpegnmnegegygmemn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799 - 6361 = -3*f - 4*p, -2*f = -p - 5429. List the prime factors of f.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**20\/t)\/t**41)\/((t\/(t\/(t**21*t*t)))\/t**(4\/5)))**(-16) assuming t is positive.\nAnswer: t**(3536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750 divided by 250?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.18361658, 1\/2, -5 in ascending order.\nAnswer: -5, -0.1, 0.18361658, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/21 and -64\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f - 85*f = 7*i - 1, -4*f + 43 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 239 (b) 335 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 181*n**2 - 247*n - 15726. Give b(-180).\nAnswer: -3666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3268)\/57)\/(-43)*3*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 310?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*d + 175. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*l + 736*l + 698*l + 323*l + 195940 = 0 for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t + 3. Let k(v) = -16*v - 2. Give -4*k(s) - 3*n(s).\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 5*n**8\/168 - 9*n**6\/10 + 19*n**5\/12 + 19*n**2 - 8*n. Find the third derivative of l(g) wrt g.\nAnswer: 600*g**2 - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4027, 27931, 92707, 218791, 426619, 736627?\n\"Answer: 3406*q**3 + 62*q + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-2)\/(-4))*6. Suppose 4*l - 5*r = 32, 0 = -0*l + 3*l - 4*r - 25. List the prime factors of 19\/3 + l\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -284*i + 34. Let c(u) = -171*u + 17. Calculate 12*c(g) - 7*z(g).\nAnswer: -64*g - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = -l, -2*u - 5 = -l + 5. Let n(m) = m - 1 + 2 + 5 - m**2 - 4*m. Let f be n(u). What is the closest to 0.1 in -0.5, 3\/7, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-2 - -2) + -2). Solve -4*g + c = -2*m + 17, 0 = -m - 4*g - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 88*a + 5*a)*(a**2 - 12*a**2 - 23*a**2) + 2*a**3 - 3*a**2 + 3*a**2 to the form s + b*a + f*a**2 + w*a**3 and give w.\nAnswer: 2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10529506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {a: 1, e: 2, k: 2, r: 3, f: 3, b: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207 + 209. Is 11 a factor of (13 - 14)\/(j\/(-22))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 5*y**2 - 5*y - 5. Let a(x) = -3*x**3 + 8*x**2 + 8*x + 8. Let k(v) = -5*v + 10. Let n be k(3). Determine n*a(d) - 8*z(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 143\/(-4) + (-3)\/12. Calculate the remainder when 20 - 19 - 3*-2 is divided by ((-2)\/(-3))\/((-8)\/h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.262 in 0.2, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675 - 675 - (-7 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7247805 divided by -1449561.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(4*1\/20). Let k = -24 + b. Let p be (-70000002)\/(-7) - k\/(-49). What is p rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -9. Let k = w + -4. Find the first derivative of -k - 5*t - 3*t**4 + 5*t wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - 1.34. Let k = 0.9 + d. Let x = 0.3 + k. What is the second smallest value in -3\/7, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:15 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/553 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/181, 1\/4, -5, 1 in descending order.\nAnswer: 1, 1\/4, 1\/181, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 13) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from asmbmss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*i = -22*i + 52*i + 728 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -46 - -76) + -36.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 472 and 8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -58820857225136?\nAnswer: 58820857225136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2575 + 2570. Which is the closest to -0.4? (a) -3\/13 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - -14. Suppose -4 = -5*p + u. Calculate the remainder when 38 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4033.812 years to decades.\nAnswer: 403.3812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose -5*i - 16 + 8 = 4*v, -4*i = 4*v + 8. Suppose i = 2*t - 0*t + q - 25, -2*t - 5*q + 29 = g. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 10*z**2 + 4*z + 7. Is g(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**2 + 4*u - 2. What is the remainder when z(2) is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z - 8. Suppose -a = z*a - 15. Let g(t) = -t**2 + t**2 + a*t**2. Let m(j) = -j**2. Determine m(g(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -17. Suppose 0 = -3*b + 15 + 3. Calculate the lowest common multiple of r and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2*8\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erre when four letters picked without replacement from eeooererer?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 10 = -4*d + 2, 0 = 4*d - 2*a - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 63*o + 477. What is p(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3090 and 41\/6180.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3734 is divided by 1796.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37\/231 - -10\/33. Let j = -4.88 + 4.943. Sort 0.5, p, j, 0.4 in descending order.\nAnswer: 0.5, 0.4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 577*x**2 - 14342*x + 8796. What is w(551)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 19 = 6*q - 8*q, -5*u + 4*q = 35. Let o be (-3)\/u*(10 + 4). Calculate the greatest common divisor of o and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, 0.1, -2\/3, 2\/15, 3\/7 in descending order.\nAnswer: 3\/7, 2\/15, 0.1, 2\/31, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0195 and 82974.\nAnswer: 82974.0195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9)*126\/(-140)*10\/146?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400945 divided by 901.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-45))\/((-4)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 2, p: 1, s: 4, m: 2, c: 6}. What is prob of picking 2 r?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 0 (c) -4\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6077\/1239 + (0 - 5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 + 39*o**4 + 26*o**3 - 441*o**2 - 324*o + 108 = 0. What is o?\nAnswer: -6, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64920*c - 175 = -38*u + 64915*c, 2*u - 3*c = 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -1220. Let p = j - 86. Let w be (-4)\/(-300)*p + -3. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 + 102*y + 625. Determine i(31).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*-4*3944\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1048, -1\/5, 3 in ascending order.\nAnswer: -1\/5, 0.1048, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -218064 divided by 109032?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j. Let w(v) = 17*v**2 - 25*v - 4. Let s be w(5). Suppose 0 = -s*h + 297*h - 3. What is the third smallest value in -2\/13, j, -2, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/100 and 187\/180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 - -227. Calculate the remainder when s is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -425 + 388. Let x be ((-10)\/6 - -1)\/(u\/9768). What is the greatest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20782*g**3 - g**2 + 35*g + 3 wrt g.\nAnswer: 124692*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (642*t**2 + 639*t**2 - 4 - 1266*t**2)*(-9*t**2 + 10 - 10).\nAnswer: -135*t**4 + 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6 = 5*m + 3, 5*m - 2*u = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0072 + 2.0672. Let r = -3.06 - -3. Let f = r + m. Which is the second biggest value? (a) -0.6 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-1085)\/(-15))\/(-7))\/((-22)\/66))\/(3\/(-6))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/8*6\/9. Let a(p) be the third derivative of -p**8\/2240 - p**7\/1260 + p**6\/720 + p**4\/12 - p**2. Let z(o) be the second derivative of a(o). Give z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.35 - 4.350000597. What is c rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**3 - 11*q**3 - 7*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -303 (c) 2\/301 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0579 * -0.47.\nAnswer: -0.027213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3. Let j be l(1). Suppose -h - f + 266 = -j*f, -3*h = 3*f - 738. What are the prime factors of h?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n + 0*n + (1 + 0 - 3)*(4 + 2*n - 4))*(1188*n - 204382 + 204382) in the form i + s*n**2 + u*n and give s.\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 719650499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 18}. Give prob of picking 2 l and 2 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11*h - 281*h + 1.\nAnswer: -292*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from yycyyycyyyyy.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 2*-2*sqrt(5))*-6*-5.\nAnswer: 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 641 - 175 + r - 64 to the form k + m*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 14*q**2 + 12*q - 47. Let j be i(-15). Sort -57, 3, -5, j in increasing order.\nAnswer: -57, -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -6432.6 (c) -223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 3*u**4\/8 - 27*u**2. Let y(s) = -s**2. What is y(l(m))?\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.918 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1119.091ml?\nAnswer: 1.119091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12288, 24610, 36970, 49374, 61828?\nAnswer: 74338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 6)*(-1 + 43\/45). Let v = 0.8 + 4.2. What is the second biggest value in h, v, -11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -43*i - 344. Let d be x(-8). Solve 0 = -m - 4*l - 12, -5*m - 5*l - 1 - 14 = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - 4*k - 5. Let w be (3 - -1)*(-1 + 0). Let i(h) = -h**2 + h + 1. Let o(v) = w*i(v) - y(v). What is the derivative of o(b) wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 75. Let j = k - 11. Let v = 8 - j. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 t when three letters picked without replacement from ekktttkttkktktttjket.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 30. Suppose -z + 3 = 1. Solve 0 = -5*s + m, -q + 0 = -s - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 5 in ascending order.\nAnswer: 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 210?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) + (-360)\/54.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h)*(-62*h**2 - 10 - 74*h**2 + 150*h**2).\nAnswer: -28*h**3 + 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 2. Let q = 10 - 10. Suppose -10 = -4*t + 2*f, 0 = -2*t - 5*f - q*f - 1. What is r(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11014908 is divided by 391?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 226 + 22*k + 2*k**3.\nAnswer: 2*k**3 + 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-42))\/(-1)*203. Let i = -28 + 17. Let u = y - i. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 30484980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -9\/4, 48, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 77140 to the nearest one thousand.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*r - 5*o, 0 = -3*r - 2*o - 3*o - 34. What is the common denominator of 19\/2 and 23\/(-4) + (-3 - r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*(2\/(-6))\/((-1420)\/30672)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2 + m. Let l be i(1). Suppose 25 = w - 161. Let p = w + -926\/5. Which is the third biggest value? (a) l (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342*g - 1318*g + 192 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -27. Suppose 5*k - 3*d = -d + 38, i = k + d. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*h - 3*h, 4*g - 59 = -3*h. Let c(k) = k**3 - 11*k**2 + k - 8. Let d be c(g). What is the second derivative of 6*o**3 + 3*o**d - 9*o - o wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -4*q. Let x be (26\/65)\/(q\/20). Solve 0 = -x*r + 5*r + 3, c + 5 = -r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28825*j**3*u**2*v**2 - j**3*u*v**2 + j**3*u*v + 3*j**3*u - u**2*v**2 - 27*u*v wrt u.\nAnswer: -57650*j**3*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 314214044 to the power of 1\/2, to the nearest integer?\nAnswer: 17726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1769 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/840 + h**6\/120 + h**4\/8 - h**2. Let k(m) be the second derivative of d(m). Determine v so that k(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 23*d + 13*d - 4 + 4*d + 40*d**3 to the form m + l*d**3 + y*d + q*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2545*q**3 + 5*q - 37. Let a(o) = -5093*o**3 + 9*o - 72. Let c(m) = 7*a(m) - 13*b(m). Find the second derivative of c(z) wrt z.\nAnswer: -15396*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104780827 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-5)*-2*(-520)\/(-6864)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(128)) + -3.\nAnswer: -7*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x + 12. Suppose -3*b = 15, 0 = -5*s + 5*b - 2*b - 15. Let z = -2 - s. What is the lowest common multiple of z and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 + -185. What is the tens digit of (-44 - -41)*73*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.1 - 17.5. Suppose 38*c + 2244 = 268. What is the third biggest value in c, g, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) 1\/5 (c) 4\/27 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3028 * -8.\nAnswer: -24224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -70. Which is greater: w or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.99*2\nAnswer: -9.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3*d - 20 = 2*c, 0 = c + 4*d + 13. Let m(q) = -24851*q + 9. Let z be m(c). Let b = 278948 + z. Round b to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33634 greater than 168163\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 37. What are the prime factors of y\/10 + 7656\/55?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0649 + -9.0649. What is the third biggest value in 0.05, r, -6\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-308 + -14)*(-12)\/16*2 and 192.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 - 11359467*w\/5 + 47710026.\nAnswer: -3*(w - 21)*(w + 3786510)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 - 12*f - 18. Let x be h(-8). Let w be (-3)\/(3\/4) - x\/(-21). Solve -48 = 6*r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*c**2 + c + 119.\nAnswer: 46*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3 - (-6 + (-5 - -51)). Which is smaller: i or -39?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*w = 809*w + 1467 - 263 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -11 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.3595.\nAnswer: -0.2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehheeheevshhee. What is prob of sequence se?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6022.508 nanograms in kilograms?\nAnswer: 0.000000006022508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -11*w - 60. Let v(s) = 13*s - 12. Let q(k) = -3*k + 3. Let p(u) = w*v(u) - 18*q(u). Let z(b) = -b**2. Give z(p(m)).\nAnswer: -4*m**2 + 24*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 + 2*z - 22. Let c be f(-6). Suppose -1043 = v - c*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 232684.77 months?\nAnswer: 193.903975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 12944\/5, -5, 2\/11, 0.2 in decreasing order.\nAnswer: 12944\/5, 7, 0.2, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31207838?\nAnswer: 2, 1381, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4484)\/(-10089)*81\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 934?\nAnswer: -93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q = -70. Suppose -g = -43 + q. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -926 - -730. Let n = 39.1 + -41.1. Are n and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 12) in base 4?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4*f + 1. Let n be d(4). Let o = -1 + n. Let p be ((-1)\/(-6))\/(4\/(-3)). Is p != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*m + 4\/5*m**3 + 0 - 32\/5*m**2.\nAnswer: 4*m*(m - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r + r + 9*r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*t + 7127 = 103*t - 2809 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 2. Let i(x) = 6*x**2 - 3*x + 3. Let v be i(1). Give o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y**(-12)*y))*y*y)\/y**9)**(-33) assuming y is positive.\nAnswer: y**561","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.475 to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*o*t**2 - 2*g**2*t**2 + 2*g**2 - 18*g*o*t - 2*g*o + 1 wrt t?\nAnswer: 4*g**2*o*t - 4*g**2*t - 18*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c - 2. Let t be p(3). Let o(f) = 1. Let v(q) = q + 3. Let d be 308\/60 + 2\/(-15) + 0. Calculate d*o(g) + t*v(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*20\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 955783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(10)\/sqrt(5))**2*-4.\nAnswer: -12 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-41151)\/22 + (-3)\/6)*-13 - -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375643459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 20, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(55)\/sqrt(5)*-5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 5392?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530.56 less than -7.870137?\nAnswer: -4538.430137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 75496860*n**2 + 474981322488300*n = 0. What is n?\nAnswer: -12582810, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 + 1 - (1 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/24)\/((-5)\/(-75))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 14*g - 160. What is the remainder when 557 is divided by p(-10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1938, -1965, -1984, -1995, -1998?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 9.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 5*k + 2160630 = 20*i, -2*k - 2880788 = 4*i. Round i to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 10*u - 21. Calculate r(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -5, 3, 16 in ascending order.\nAnswer: -9, -5, -1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11021112 (base 3) to base 6\nAnswer: 22235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 61*b**2 - 11*b + 3 - 117*b**2 + 54*b**2 + 2. Let j(x) = -2*x**2 - 9*x + 4. Let n(k) = -7*j(k) + 6*y(k). Let c be (-18)\/(-6) - 1\/1. Calculate n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321030 - -201021010?\nAnswer: 202002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347731172 or 347731173?\nAnswer: 347731172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 3*g\/2 + 1.\nAnswer: (g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3520*n**2 + 1873*n**2 + 301*n**2.\nAnswer: -1346*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/13215742 and 9\/517?\nAnswer: 145373162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 95*l\/4 + 58.\nAnswer: (l - 29)*(3*l - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093551 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4692480 by -705.\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9428735*w**2 + 1681546*w?\nAnswer: -18857470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3746451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 132 (b) 202 (c) -68\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-27)\/21) - -11. Solve -k*w = 25 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 26*s - 35. Let x be s\/25 + 54\/30 + 3. Sort -34, x, 0 in ascending order.\nAnswer: -34, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, j: 8, a: 3}. What is prob of picking 1 j and 3 d?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2.5, 5, 3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 23 - 1 = 0. Suppose -m*t = -33 + 1. Factor -t*d**3 + d**2 - 3*d**2 + 14*d**3 - 2*d**3.\nAnswer: 2*d**2*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*g - 16, 4*u + 2 = -6. Suppose -792 = g*p - 6*p. Let j be 8\/10 - p\/(-15). Solve -4*d - j = -2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/91)\/((-10)\/35).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 5*m. Let k(z) = -1050*z + 2098*z - 1052*z. Give -4*i(y) - 5*k(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - j + 2. Let q(z) = -z**2 + 5*z + 3. Let b be q(-5). Let o = 78 + b. What is the remainder when o is divided by s(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + (2\/1 + 0 - (-73 - -58))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -1, 1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 3, -5*i + 2*f - 11 = 0. Let m = i - -5. Suppose -5*n - 5*j = -70, -m = -2*n + j + 3*j. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*n**2 - 3*n - 25*n**4 + 43*n**4 - 19*n**4 - 13*n**4 to the form i*n + r*n**4 + c + w*n**2 + b*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 + 10 + 14*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**4 - 4*o**4 - o**4 + (o - 4*o + 2*o)*(236 - 236 + 11*o**3) to l*o + r*o**4 + p*o**3 + v*o**2 + i and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 16*k + 14. Let o be f(-16). Suppose -o*q = -9*q. Let n(c) = -c**3 - 11. Calculate n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267188.5 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 5. Let u(q) = 4*q + 5. Let b be (-12)\/10*(-1 + (-42)\/18). Let s(f) = b*u(f) + 5*t(f). What is the first derivative of s(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -0.050776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1 (b) -0.5 (c) -0.4 (d) -22790 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -38272*n + 1. Let w be r(7). Let o = 2659 - 120562. Let i = w - o. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 19, 0, -24, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/7*2*(-1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 9 - 8 - 3 - i**3 - 3*i + 3*i + (i**2 + 2 - 2)*(2*i + 1 - 1) - 2*i**3 - 4*i**2 + 4*i**2.\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c - 8. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/10*7\/35*10\/5\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50797011 to 3 dps.\nAnswer: -0.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Let f(x) = 4*x**2 + 31. What is j(f(u))?\nAnswer: 16*u**4 + 248*u**2 + 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 22*o - 2. Let q be v(-11). Let c be 48\/(-18) - -4 - q\/(-6). What is the units digit of ((-120)\/(-2))\/c + (0 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6873, 14123, 21373, 28623, 35873, 43123?\nAnswer: 50373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 236, -964\/19, -1\/5?\nAnswer: -964\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 43022\nAnswer: -5\/43022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-3))\/d)\/d)**(-4\/7)\/(d**6\/((d**(-10)*d)\/d)) assuming d is positive.\nAnswer: d**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/9 and -151\/522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 413 times 0.101\nAnswer: 41.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 416 in -2\/5, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let o be 2\/6*7*(-4 - -16). Let l(s) = -7*s + 23*s + o*s. What is p(l(q))?\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*z = 24, -h = -0*h + 5*z + 8. Let s(r) = -r - 4. Let u be s(h). Suppose 2*b = -5*m + 25, 0 = -3*m + u + 11. Solve k + b - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4576*q**4 + 2219*q.\nAnswer: -54912*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -196?\nAnswer: -19\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 5860*j**2 - 338100*j - 5004000.\nAnswer: -5*(j + 30)**2*(j + 1112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**5 + 5010*x**4 - 20004*x**3 + 19992*x**2 = 0.\nAnswer: 0, 2, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -699*l**3 + 5*l**2 - 16067*l - 3 wrt l.\nAnswer: -4194*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(4*d - 1 + 1)*(2 + 4 + 0) + (-4 - 8*d + 4)*(3 + 0 - 5) - 2*d - 2*d + 2*d - 2*d - d + 4*d.\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:35 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2398.4.\nAnswer: 7195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 260 - 325. Calculate the remainder when 189 is divided by (y\/(-15) + 3)\/(2\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 5*b**4 - 5*b**4 - b**5 + 0*b**5 + 4*b**5 - 2*b**5 + (-5*b + b + 3*b)*(-2*b**3 + 2*b**3 - 2*b**4) + b**5 + b**4 - b**4.\nAnswer: 4*b**5 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4597 + 6263 = -1086*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jclc when four letters picked without replacement from {c: 5, l: 1, j: 1, r: 7, s: 2}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6, -2 = u - 5*x - 10. Let w = -6 + u. Let v = 11 - w. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 82593483?\nAnswer: False","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 {v: 2, n: 6, k: 2, u: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22487 + 22484. Which is the closest to 2? (a) t (b) -1 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 20. Let d(f) = -2*f + 22. Let q(s) = 2*d(s) - m(s). Give q(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.726081 minus 254?\nAnswer: -281.726081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14426\/50491 - (-6)\/(-28)*(-22 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -953 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608249.\nAnswer: 3608249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -237*d**5 + 896*d**2 + 1692. Find the second derivative of y(g) wrt g.\nAnswer: -14220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001704 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from {g: 10, d: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(325)*-2*-4*-2 + -5))**2.\nAnswer: 1440*sqrt(13) + 748809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288931?\nAnswer: 288931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6519744 a multiple of 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h**2 + 1645*h + 123. List the prime factors of r(82).\nAnswer: 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 15*l - 8. Let u be r(7). What is the tens digit of (-7 + u)\/(-2) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(3*z + 3*z - 4*z)*(6*z - 6*z + 2*z**3).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(75))\/(sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 58, 74, 74, 52, 2, -82?\n\"Answer: -g**3 + g**2 + 30*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i + 8. Let a(g) = -g**3 - 34*g**2 - 96*g - 84. Let m be a(-31). Determine x(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, x: 2}. What is prob of picking 1 x and 3 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((45\/40)\/(-9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -6927638264.\nAnswer: -6927638273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -10113?\nAnswer: 10105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -61*c + 3524. Determine x(58).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -3*a**2\/2 + 3*a - 2. Let x = 7 + -14. Let o be ((-6)\/x)\/((-42)\/(-196)). Calculate u(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73202431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*f**5*i**3 - 71*f**4*i**3 + f**2*i**3 - 71*i**3 - 40*i**2 wrt f.\nAnswer: 2640*f**2*i**3 - 1704*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5*(7 + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**3*u - 63*h**2*u**2 + h**2 + 3*h*u**2 + 12*h*u - 12*u**2 wrt h?\nAnswer: 48*h*u - 126*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 28*a + 60. Let h be t(-30). Suppose -5*j + 39 + 167 = 4*i, -j - 3*i + 50 = h. What is the least common multiple of 2 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 240 = -2*p, -u - 367 = -3*p - 0*u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 16, 4, 0, 147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6680846908 to the nearest integer?\nAnswer: 81736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863122 at most as big as 4863122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -5, -247, 1, 17, -35 in descending order.\nAnswer: 20, 17, 1, -5, -35, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49176755, -49176765, -49176775, -49176785, -49176795, -49176805?\nAnswer: -49176815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/3 + 5*y**4\/3 + 4*y**3\/3 - 20*y**2\/3 = 0. Calculate y.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26512*p*q**6 + 3*p*q**5 - 8607*p*q**2 wrt q?\nAnswer: 3181440*p*q**3 + 180*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(1053) + 0 + -2)**2.\nAnswer: -450*sqrt(13) + 5390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)*y**(2\/13) assuming y is positive.\nAnswer: y**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47194 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = 2*l, 0*l + 2*s = 2*l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*(28\/(-8))\/(-7). Let r = x - 23. Let k be r\/(-4 + 1) - 2. Solve -k = -t - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 - 7*u**3 + 24*u**3 - 2*u**3 + 16*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003193723 rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*z + 10450 = 46*z - 150*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -29.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 979*p**2 - 2*p + 1. Let u be x(1). Let m(w) = w**3 + 2*w**2 + 475. Let c be m(0). Let r = u - c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*k + 41. Is 20 a factor of (-5 - -8)*80\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*-1)\/((-2)\/6). Let b(x) = 3*x + 2. Let s be b(0). Calculate the highest common factor of s and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87176.68 meters to millimeters.\nAnswer: 87176680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.918221 kilograms to tonnes.\nAnswer: 0.000918221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooooooooooooooloo.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180) + sqrt(140)\/sqrt(28))\/(-5*-2*sqrt(36)))**2.\nAnswer: 121\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4001 + -4119. Which is bigger: c or -583\/5?\nAnswer: -583\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110664624 + -36?\nAnswer: 110664555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**3 + 6*l**2 - 64072*l - 6947965 wrt l?\nAnswer: 3*l**2 + 12*l - 64072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/7 - 18*r**3\/7 + 46*r**2\/7 - 30*r\/7 = 0 for r.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + p**2 + 28 - 8 - 13.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-1430)*11)\/(((-120)\/(-12))\/(-870))\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c + 4. Let f(x) = -x - 1. Let n(w) = -f(w) - i(w). Let d(p) = 3*p**2 + 7*p + 10. Calculate -2*d(b) - 7*n(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*p + 3*o - 60, -5*o - 145 = -5*p. What is the lowest common multiple of 12 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 80190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let y(q) = q - 2. Let f(m) = -m. Let n(w) = -4*f(w) - y(w). What is -2*a(v) - n(v)?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 7. Let x be i(6). Let z be 1*(x + (-2 - -2)). Suppose 2*b - 5 = z. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/3)\/(1\/(7\/42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(49))\/sqrt(7))**2*5 + (sqrt(7) - (sqrt(7)*1*-1 - sqrt(7))**2) + (-1 + sqrt(7) - sqrt(7))*2.\nAnswer: sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2*y**2 - 6285639*v**2*y + v**2 + 170*v*y + 12*v + 367*y**2 wrt v?\nAnswer: -2*y**2 - 12571278*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10742 - -251?\nAnswer: -10491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80186.\nAnswer: 2, 40093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -688, 175 in increasing order.\nAnswer: -688, -2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(518\/(-42) + 21)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 23 = -0*b - 308*g + 304*g, 5*b - 49 = -9*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -5 + 4*(sqrt(242) + (-4*sqrt(242))**2))*-1 + 5.\nAnswer: 44*sqrt(2) + 15484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 12*n - 4014. Let j = n + 1404. Let l = j + 1106. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-10)*(-100)\/40. Let s(u) = -u + 5. Let p be s(0). Solve 5*i + 10 = 4*c, -3*c + p = -k*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s - 4. Let m be h(6). Let n = m + -28. Suppose -2*d + 3*i + i = -44, 0 = -2*d - i + 24. Calculate the lowest common multiple of n and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j. Let t(z) = -2*z - 4. Let x(k) be the third derivative of -k**4\/8 - 7*k**3\/6 + 17*k**2. Let f(n) = 7*t(n) - 4*x(n). What is f(y(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -32*q**3 + 8*q**2 - 3. Let n(s) = 22*s**3 - 5*s**2 + 2. Give -8*n(l) - 5*x(l).\nAnswer: -16*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -12404864\nAnswer: 1860729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6 - 120. Suppose 5*d - 150 - 60 = 0. Let o be d*2\/18*6. Calculate the highest common factor of b and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5730212576.\nAnswer: 2, 11, 17, 277, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k - 2*u, 2*u = -3*k - 2*u - 19. Let q be ((-1)\/6)\/(72\/(-162)). Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -361\/2 - 1\/4*s**3 - 285\/4*s + 9*s**2 = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8355908 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3290 - 0.03?\nAnswer: -3290.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 7*t + 10*t - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-54)\/(-4))*9\/(-48).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -12 - (71 - 71)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 675, 1204, 2037, 3228?\nAnswer: 4831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28945641 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6126*n**2 + 4 - 2 - 6122*n**2 - 2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d - 2*d + 2)*(20686*d - 3828*d**2 - 20686*d + 2*d**2 - 3*d**2 + 2*d**2 + (0*d - 2*d + 3*d)*(2*d + d - 2*d)).\nAnswer: 3826*d**3 - 7652*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/3, 4, 0.8, -7 in descending order.\nAnswer: 4, 5\/3, 0.8, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*l**5\/5 + 3067*l**4 + 19425*l**3 - 200863*l**2 + 628222*l\/5 + 52728 = 0. Calculate l.\nAnswer: -12, -2\/7, 1, 5, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*w - 538 + 138 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.098 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 11*x**2 - 13*x - 13. Let d be i(-12). What is the second biggest value in -3, 1, 0.8, d?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*z + 2*t = -275*z + t - 27, -2*z - 126 = 4*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 - -12) + -9 - 1320\/48)\/((-5)\/106)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 11 (c) -4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(19\/(-4) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 5. Let b(j) = -39. Let f(p) = -19. Let z(q) = b(q) - 2*f(q). Let c be (-46)\/10 - 8\/20. Determine c*z(y) - h(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/211028951 and -33\/211028951.\nAnswer: 211028951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*q = 180, 4*x - 3*q - 54 = 93. Let n be x\/2 - 1\/2. Suppose -v + 51 = t, -n = -v + 2*t + 26. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 125 - 12 = -31 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1018 - -409.1018. What is the fourth biggest value in s, 5, -4, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-153))\/(-4 + -1 + (-38)\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1684 + 36.\nAnswer: 36.1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*j - 19, -5*l - 10 = 3*j + 7. Let z be (-31)\/11 + (-20)\/110. Which is the biggest value? (a) -4 (b) 0.02 (c) l (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let c be (-10)\/4*(-8)\/25. Let h = 2\/11 + -23\/66. Sort c, y, h in decreasing order.\nAnswer: y, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rljcu. What is prob of sequence rc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 40305000 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*y = -3, a - 4*y + 0*y + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9212275.95 times 0.1?\nAnswer: -921227.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let y(t) be the second derivative of -t**2\/2 + 5*t. Let k(q) = -q**2 + 3. Let h(s) = -k(s) - 3*y(s). What is r(h(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 95*s + 4. Let o be a(9). Suppose 245 = -2*p + o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/20 and -7\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3625046 - 3*s**3 - 3625046.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 34. Put l, 2, 0.5 in ascending order.\nAnswer: l, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kccccckckccckk.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40155 + -13402?\nAnswer: 22353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 76, 109, 142, 175, 208?\n\"Answer: 33*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + (5 + -4 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 5*k**4\/36 + 5*k**3\/3 + 15*k**2\/2 + 54*k. Factor x(l).\nAnswer: 5*(l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -37 + 31. Let u be b\/((-8)\/(-59)) + (-9)\/(-36). What is the greatest common divisor of u and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55202 (base 7) in base 9?\nAnswer: -20855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b531 (base 12) in base 5?\nAnswer: 12422240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37848036 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 63*x - 1360 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:15 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1125 + 723 = 11*v. Calculate the remainder when v is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 5*v - 20, -v = -4. Let y(h) = -2*h**2 - 3*h + 5. Let d be y(-4). What is the least common multiple of (5\/d)\/((-1)\/18) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-2 + (-2*sqrt(19) + -1 - sqrt(19)))**2 + sqrt(2736) + 1*sqrt(2736)*3)*-5.\nAnswer: 5370 + 1980*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = -g + 12, g = -5*o + 14. Let z = 0 + 2. Suppose z*h - 81 = 45. What is the greatest common factor of g and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l)*(60 + 109 + 54 + (0 + 3 - 2)*(0 + 2 + 0)).\nAnswer: -450*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 2, d: 1, x: 2, g: 1}. What is prob of picking 1 q and 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*k - 2 = 0, w - 5*k = -k + 6. Solve -6 = 4*r - w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.66, -1\/4, -0.15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -103422 (base 11) to base 2\nAnswer: -101000011010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 + 7*k**2 + 3*k - 2. Let y(s) = -2*s + 1 + s**2 - 3*s**2 - 4*s**3 - 3*s**2 + s**2. Let l(c) = -6*f(c) - 10*y(c). Solve l(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)\/k*(((k**(1\/10)\/k)\/k)\/k)\/k)\/(k**(2\/9))**28)**(-1\/28) assuming k is positive.\nAnswer: k**(1991\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 10*c + 4147. Let q be x(-48). Let t(u) = -27*u. Let k be t(-1). Solve 4*i - k + q = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, 3\/2.\nAnswer: -5, 3\/2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 11:36 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -13. Let h be (-1 - 3) + 3 - -5. Suppose -2*u + 2*v = -f*v - 2000000, -h*u = -4*v - 4000000. Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q*q)\/(q*q*q*q**6*q) assuming q is positive.\nAnswer: q**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 2*t = -455742, 273483 = 3*h + 3*t. List the prime factors of h.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 3*o + 1. Suppose 5*f + 5 = -0*f. Let n(p) = -p**3 - p**2 - p - 1. Let j(k) = f*u(k) - n(k). Let j(x) = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 28, 27, 26, 25, 24?\n\"Answer: -m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-4*(-9)\/132 + 5535\/(-451))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 8*g**2 - 16847 + 16847. Let y(h) = -63*h**2 + 33*h. What is 33*q(z) - 4*y(z)?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1196.4 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, 7, 65, 149, 259?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (4 + 2 + -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**7\/840 + 13*u**6\/240 + 53*u**5\/60 + 275*u**4\/48 + 121*u**3\/8 + 613*u**2. Let h(l) = 0. What is l?\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338169 <= 338169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298158 and 55902.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.0707 millilitres to litres.\nAnswer: 0.8180707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**6\/2 - 49*y**5\/5 + y**4\/2 + 98*y**3 - 8432. Find the third derivative of z(b) wrt b.\nAnswer: 180*b**2 - 1176*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 + 350 = -4*g + x, -g = 5*x - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 52 = 0, 0 = 29*p - 30*p + 3*q - 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -170?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2308192 and 11396698?\nAnswer: 182347168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*12\/(-1 - -2). Find the third derivative of -19*o**6 - 10*o**6 - 14*o**2 + 7*o**l wrt o.\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l + 12*l - 148259 + 147675 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*q + 8 = -q, q = 2*c - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y - 272*y - 18 + 15.\nAnswer: -244*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) + -2 + -5 + sqrt(112) + 3*(-1*sqrt(112) + sqrt(112)))**2*-3.\nAnswer: -1452 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-512)\/80)\/8*-1*10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-12)\/i)\/(i**(1\/3)\/i)*(i**(1\/2))**(1\/34) assuming i is positive.\nAnswer: i**(-2309\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1391, 2746, 4219, 5810, 7519?\n\"Answer: 59*s**2 + 1178*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (100\/175)\/(4\/70). Sort 4, -3, t, 13 in descending order.\nAnswer: 13, t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 252983, 505947, 758913, 1011881, 1264851, 1517823?\n\"Answer: h**2 + 252961*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w + 6. Let o(y) = 1. Suppose -17 = 26*k - 43. Give k*q(v) - 4*o(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + w = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -3026?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 - 1393734*x**3 + 923*x**2 + 1519?\nAnswer: -240*x**3 - 8362404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 12*a - 112.\nAnswer: 4*(a - 7)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 - (-6)\/(-21). Let w = -487.7 - -482.7. What is the nearest to r in w, -1\/5, 0.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)*-1)\/sqrt(7) + (sqrt(33) - 4*sqrt(3993)))\/(-5*(sqrt(176) - -3*-3*sqrt(176))).\nAnswer: -11*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1997856 divided by -15856.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2*0)\/(-1 + 2). Suppose 2*i - 5*h = -i + 25, -4*i + 3*h + 26 = v. Suppose 0*s = 2*c + 5*s - 10, 2*c - i*s = 30. Solve -c = 2*l - 0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1553*-4\nAnswer: -6212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 30\/4)*-2*3. Let b = u + 127. Let f = -46 + b. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 2*s + 2. Let i(h) = 12 - 17 + 5*h + 3*h**3 - 5*h**3 + 3*h**3 + 6*h**2. Let c(x) = 2*i(x) + 5*t(x). Find the third derivative of c(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23556, -23560, -23568, -23580, -23596, -23616?\n\"Answer: -2*a**2 + 2*a - 23556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = 2*y - 4*r + 246, -r - 1033 = 3*y. Let f(b) = 3*b + 114. Let i be f(-40). List the prime factors of y\/(-2) - i\/(36\/3).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2378*g - 1961*g + 51*g - 7155*g.\nAnswer: -11443*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*y**2 - b**2*y + 18*y**2 + 21*y wrt y.\nAnswer: -4*b**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -346, -334, -322?\n\"Answer: 12*f - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 299 = 241. Calculate the remainder when (-1 - 30\/4)*-8 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-41)\/(n**(-2\/3)\/((n\/n**(5\/3))\/n))*((n**(-3\/5))**(-6\/19))**6 assuming n is positive.\nAnswer: n**(3921\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -131181, -131180, -131179?\n\"Answer: j - 131182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 + 3 + 3)) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8137427?\nAnswer: 97, 83891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 1\/22*k**4 + 0 + 1\/11*k**3 + 1\/110*k**5 + 1\/11*k**2 + 3*k. Determine z so that f(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2*l**2 + l**2)*((180 - 4*l - 180)*(-2*l + 2*l + 2*l) + (l - 3 + 3)*(-l - l + l) - 3*l**2 + 5*l**2 - 3*l**2 - l**2 + l**2 + l**2).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 10*x - 2. Let q be h(-3). Suppose -11*g - 23 = q. Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -22. Calculate the remainder when (-246)\/((-12)\/4) + l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12536 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + q**2 - 10*q - 102. Let b be h(19). What is the thousands digit of 1\/3*b\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*c - c**2 - c**2 + 952*c**3 + 555*c.\nAnswer: 952*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86615, -173136, -259651, -346160, -432663, -519160?\n\"Answer: 3*h**2 - 86530*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1800*n + 31873 + 54267 - 19540 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -3, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14859 and 109044.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14033000 rounded to the nearest 100000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 140 - 4?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 677939 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.94002 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336 + 340. Let i = 0.09 + -0.19. What is the biggest value in f, i, -1\/4, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -3 + 4 - 1. Suppose -a*y + 12 = -0*y. Calculate the highest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 4671.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232.7 - -34.7. Let c = 198.089 + i. What is c rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271731394.\nAnswer: 2, 11, 1122857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1141, -1144, -1147?\n\"Answer: -3*y - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024256368 rounded to 6 decimal places?\nAnswer: 0.002426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 7. Suppose -2*m = 2*m - 8. Suppose -y + 5 = -d + m*y, -3*y - 25 = 5*d. Determine r(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-468))\/((-34)\/136)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*l = 57, -5*l = 4*q - 40 - 36. Solve 17*p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6\/125 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/336*(-14)\/12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -13. Let b = a + 87. Let y = 29 - b. What is the smallest value in 6, 1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 58515 (base 9) to base 15\nAnswer: b88b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 1\/8*y**4 + 1\/2*y**3 + 1\/12*y**5 + 0 + 3*y**2 + 1\/120*y**6 + 0*y. What are the prime factors of j(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5431.697738 to the nearest integer.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68) + -3 - sqrt(68))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6946102 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-2)\/6))\/(3\/5). Suppose -6*d + 2 = -p*d. Solve h + a = 0, 0 = -7*a + d*a + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550417057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1067 - -1066.9. Put f, 3\/2, 0, -35 in decreasing order.\nAnswer: 3\/2, 0, f, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r = -575 - 1175 + 372 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b**4\/3 - 3632*b**3\/3 - 7745*b**2\/3 + 10394*b\/3 + 320 = 0.\nAnswer: -3, -2\/23, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/(4\/(-10) - (-264)\/935)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h**3 - 16*h**3 + 260*h**2 - 2*h**4 - 6*h**4 - 246*h**2 to the form u + z*h**4 + n*h**3 + f*h**2 + s*h and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3214 and 24.\nAnswer: 38568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/75637233 and -41\/54026595.\nAnswer: 378186165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7326144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1440\/17 - -133597\/1581. Which is the second biggest value? (a) g (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t + 139*t = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 0)*(4*m**3 - 2*m**3 - m**3) - m**3 - 3*m**4 + m**3 - 3*m**2 - 14690*m**4 - 9 + 14654*m**4 + 4*m**2 + 30.\nAnswer: -38*m**4 + m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-135)\/10)\/((-12)\/(-32)). Let n be w\/14*42\/9. Sort 1, 4, n in increasing order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 6*a + 1. Let p be q(5). Suppose p*j - 2*j = 48. Calculate the least common multiple of j and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 28 = -4. Suppose 5*u - 4722 = -t + 6654, u = -h*t + 45409. Is t 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 4247, 4248, 4251, 4256, 4263, 4272?\n\"Answer: g**2 - 2*g + 4248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.994 and 574.45469.\nAnswer: 567.46069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15459 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:25 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, h: 5}. What is prob of picking 2 g?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*d + d - 20, 5*d - 40 = -5*s. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 0, -3*t = -3*g - 4*t + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 d when four letters picked without replacement from xqxxxxrxxxrqdxxx?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -14. Suppose g*d = d. Solve o = -d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 12*j - 30*j + 35 + 25*j + 16*j to the form z*j + h and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*l, -3*l + 2*x = -8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-27)\/(j*j\/(j\/(j*j*j\/(j*(j*j\/j**(15\/7))\/j)))) assuming j is positive.\nAnswer: j**(-218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1256574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.453, -39, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - n - 409, 5*i + 5*n - 236 - 269 = 0. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 5. Let a be y(-12). Let g be a - ((-3)\/(-1) - 6). Suppose 76 = 2*p + g. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62415324 (base 7) to base 9\nAnswer: -10777883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21))**(17\/5) assuming i is positive.\nAnswer: i**(-357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:43 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5*f + 38*f**2 - 4*f + 139*f**2 + 10.\nAnswer: 177*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.584495*-6.\nAnswer: -3.50697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62650 divided by 12530.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62057*g**3*t + 14*g**2 + 21*t - 2 wrt g.\nAnswer: 372342*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 243301041?\nAnswer: 243301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286866 to the power of 1\/2, to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 24. What is the smallest common multiple of n(-8) and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.63 + 1.84. Round h to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 9:56 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*1 - 304\/(-80))*-136. Is 27 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n + 6. Let s(o) = 10*o + 2. What is s(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 - 6*t + 3. Give r(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - -0.68. Let w = n + 0.4. Let o = 1 - w. Which is the nearest to o? (a) -0.2 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -3. Let q = o - -22. Let w = -9.4 - q. What is w rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.13 (c) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-1)\/2 - 174\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*a + 3*h + 7, a = -3*h. Suppose 0*b - a*b = -39. Let c = 7 - -18. Calculate the remainder when c is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3005164?\nAnswer: -1\/3005164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45087707896 + 3275.\nAnswer: 45087711171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (43\/(-258))\/((-2)\/(-156))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -108*j - 150. Determine l(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 26. What are the prime factors of a(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-15))\/(5*(-51)\/75). Let g = 47 + -35. Which is the smallest value? (a) -0.5 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + a**2 - 315*a - 5*a**2 to u*a**2 + j + o*a and give o.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2)\/(0 - -1). Suppose -f*h = h - 16124. Let z = 60511\/15 - h. Calculate the common denominator of -1\/9 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -34*u + 30. Let o be p(-5). What is the highest common factor of o and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6411 divided by 6411.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 - 5*r + 6. Let u be z(-5). Suppose 0 = d - 0*d - u. Let o(w) = 6*w**2 - 1. Let y be o(1). Solve -y*n + d = -19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1571, -3108, -4645, -6182?\n\"Answer: -1537*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 972410, 972409, 972408?\n\"Answer: -a + 972411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 + 2570*m - 5 + 1940*m + 1720*m.\nAnswer: 6230*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.8 in 2\/165, -3, -95, -0.1?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 3*t + 2. Let l be p(-2). Let i = -7 + l. Let w = 0.3 - 0.2. What is the nearest to i in 4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11094, -16662, -22230, -27798, -33366?\nAnswer: -38934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54339 is divided by 953.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21529 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6496.21 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/11 + 42\/11. Suppose -2*j + c*m + 478 = 0, -5*j - m + 0*m = -1206. Suppose j = -9*d + 3796. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1834.6 + 1834.4. Which is the third biggest value? (a) -334 (b) 4\/9 (c) 1\/10 (d) y (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -153\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16225 - -16226. Put x, 82, -5, 9, -1 in descending order.\nAnswer: 82, 9, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-6)\/(-72)*12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70)*2 + sqrt(70))*2 - sqrt(70))\/(-2*sqrt(112)))\/((sqrt(98) + (sqrt(98) - sqrt(98)*-3 - sqrt(98))*-3 - sqrt(98))*4))**2*2.\nAnswer: 125\/2032128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*3544.896.\nAnswer: 283.59168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 624167, 1248333, 1872499?\n\"Answer: 624166*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 959 - 2?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 + -811\/3. Which is smaller: 2\/447 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 0.4, 2, -1\/4, 3, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4875 and 0.5.\nAnswer: -4874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 9*n**2 + 11*n - 9. Let u be f(8). Suppose -5*l + 0 = -u. Suppose -l*p + 2*p = 0. Which is the biggest value? (a) -5 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + l - 7. Let j be b(5). Let x = 3 - j. Suppose 3*y - x*p = 3 + 7, 4*y - p - 19 = 0. Sort 0, -5, y.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.018.\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 7. Let u be v(-2). Let z be ((-35)\/u)\/7*-57. Suppose -3 - z = -g. Calculate the remainder when g is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-33)\/(-9))\/((-3)\/(-18)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939 (base 13) in base 12?\nAnswer: -aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-r**2 - 2*r**2 + r**2) + (7*r - 9*r + 12*r)*(5*r + 2 + r + 5*r) to the form p + d*r + t*r**2 and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a884 (base 15) to base 9.\nAnswer: 402637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -11. Suppose -5*p = -2*p - 12. Calculate the lowest common multiple of u and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -120*w**2 + 4. Let g(q) = 299*q**2 - 10. Let d(s) = -6*g(s) - 15*u(s). Let p(f) = 2*f**2 + 251. Determine p(d(o)).\nAnswer: 72*o**4 + 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 80, 14204\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 3*x**2 + 0*x + 0 + 1\/12*x**4 - 1\/2*x**3. Let f be u(3). Is -1\/3 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395.6 - 396. Let n = -1.3 + 6.3. Let w = n - 4.7. What is the biggest value in w, m, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 416275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 733157964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9)*(-27)\/(-90). Put 1, 4\/9, q in decreasing order.\nAnswer: 1, 4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.453 - -0.41. Let i = 4.043 + y. What is the nearest to 1 in i, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.8 - 65.1. What is the nearest to 0.08 in w, 3\/5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664500713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 3*b**2 - 4*b - 3. Let w be n(-2). Let s = 8 + -4. Suppose -10*m + 20*m = 20. Solve m*h - w = 5, -4*h = -s*o - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**3 + 0*m)*(0 + 2 - 3) + m + 2*m**3 - m + 4*m**3 - 6*m**3 + 3*m**3 + 29 + 57*m**3 - 29 - 21*m**2 + 21*m**2 + 3 + 23*m**3 + 18*m**3.\nAnswer: 103*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 - 2*b - 5. Let d be l(2). Suppose d*s - 46 = 59. What is the smallest common multiple of s and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/3, -1, 0.28, 2\/3, 190?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2329\/348 + 501\/29. Find the common denominator of c and -3 - (-3 + (-6)\/52*-31).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -102?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22659860087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 66*o**2 + o - 4. Let x be u(-2). Suppose 5*y - 87 = -5*k + x, -k - 4*y = -60. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(4 + sqrt(153)\/(sqrt(36)\/sqrt(4)*-2) - (-3 + (sqrt(17) + sqrt(17) + sqrt(272) + 2 - (sqrt(272) + sqrt(17) + -1))))**2.\nAnswer: -1085\/4 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54512\/(-68140))\/((-92)\/10).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2)*(-68)\/(-102)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a + 10*a + 11*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*g**4 - 23*g + 10670.\nAnswer: 152*g**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0 - 30. Suppose 0 = 4*g - 3*m - 19, -g + m = -u*g + 19. Calculate the remainder when 43 is divided by (g - (14 + 2))*(1 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -323*r**6\/120 - 941*r**3\/3 - 3517*r**2 - 2*r. Differentiate m(p) with respect to p.\nAnswer: -969*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120368*x + 120368*x - 37*x**2 + 39*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 15. Let b = 0 - f. Let r = 288.1 - 288. What is the nearest to r in b, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 8*i**2 - 7*i + 1. Let u be x(7). Let n = -81 + 136. Let f = 219\/4 - n. Which is the nearest to -0.2? (a) f (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 8*o - 12. Let d be j(-5). Suppose -t - 4*t + 222 = 3*n, -4*n + 131 = d*t. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 30. Calculate u(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 4*q**3 - 3*q**3 + 0*q. Let f(s) = -26*s - 2*s**3 - 4 - 21*s + 48*s. What is -f(o) - k(o)?\nAnswer: o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 5 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272.9 - 272.8. Is 2\/539 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (3 - (2 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:01 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/245 + 2*118\/20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 5. Let v be o(-1). Solve 5*l - 2 = -v*d - 3, -3 = 3*l + 3*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = 3*p - u, 4*u + 12 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119323 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 10:51 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j - 1. Let q(o) = -o**2 + 222*o - 1. Give -2*d(t) - q(t).\nAnswer: -2*t**3 + t**2 - 218*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/767144 and -169\/23014320?\nAnswer: 23014320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/156 and -36\/845.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 2*o**2 - 4*o. Let x(l) = -3*l + l**2 - 2*l**3 + 2*l**2 - 2*l - 6*l**2. Determine 3*i(h) - 2*x(h).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 3*w. Suppose -3*t + 4*t - 1 = w. Suppose 0 = 3*f + t + 35. Sort f, 2, -3, 1 in ascending order.\nAnswer: f, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/188*(4\/(-6))\/((-92)\/5934)*-8?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294118 is divided by 46213.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -15.1. Let m = -1 + 1.5. Let t = -2 + 3. Put h, m, t in descending order.\nAnswer: t, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 2*v**3 - 4*v**3)*(81*v**2 - 681 + 681) + 4*v**2 - v**5 - 4*v**2 + (-1 - 2*v**3 + 1)*(v**2 + 0*v**2 - 2*v**2).\nAnswer: 82*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/6)\/((4\/(-11))\/(208\/1144))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.24, -0.5, 203701?\nAnswer: 203701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufuf when four letters picked without replacement from {u: 2, f: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1900)*-2 - sqrt(19)).\nAnswer: -21*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -108543, -108684, -108825, -108966?\n\"Answer: -141*x - 108402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 276060 to the nearest one hundred.\nAnswer: 276100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 18*l**2 - 24*l + 26. Is 14 a factor of c(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6772 + -6762. Let m(f) = -2*f. What is the lowest common multiple of p and m(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -13\/5 (b) 0.2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:36 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*z - 2*s + 28, -3*z = -s - 27. Suppose q = 5*q - z. Suppose 0*x - 3*x + 54 = 2*f, -2*f - q*x = -56. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -91 (b) 2\/7 (c) -1033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/7 - 23400900*j\/7 - 136900530202500\/7 = 0. What is j?\nAnswer: -11700450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 5*v**2 + 27*v - 90. What is k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 5. Let i(s) = s + 2. Let t = 73 + -78. What is t*i(m) - 2*a(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -4\/11*q - 2\/11*q**3 - 2 - 7\/11*q**2. Suppose x(f) = 0. What is f?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/29)*n**1)\/(n\/(n**(2\/5)\/n))**(29\/4))\/((n\/((n*n**(9\/5))\/n))\/((n*n*n**(-1\/3))\/n))**(2\/65) assuming n is positive.\nAnswer: n**(-300389\/28275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3 + 177*j**2 + 492*j - 672 = 0.\nAnswer: -56, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q + h + 4*h, 0 = -3*h + 9. Suppose -q*c = -5*k + 26, 7 = 5*k - 2*c - 21. Let x(l) = -l**2 + 7*l - 3. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r. Suppose r = 2*y - 5*y + g + 132, 0 = -2*y - g + 83. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m - 138*m - 10 = -5*d, -3*m = -15 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + 1. Let v(h) = -3*h - 4 - 8 + 11. Let r be 4*(2 + 0\/(-1))\/(-2). Let l(w) = r*a(w) - 3*v(w). Calculate l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**5*p - 15*g**3*p + 26*g**2 - 74*p wrt g?\nAnswer: -240*g**2*p - 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 32. Calculate the remainder when 87 is divided by j(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-105)*(-45)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 23. Let o be y(-9). Suppose 37 = -2*d - 2*r - 31, d + o*r = -50. What are the prime factors of (-144)\/d*140\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-2*2\/11948). Suppose -c + 19937 = d + 79, -3*d = -4*c + 79397. Let y = c - w. What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 4928?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*q**4 + 34*q**4 - 60*q**4 + 2*q - 5 - 3*q - 7 to the form j*q**3 + g*q**2 + n*q**4 + l + v*q and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 48*m**2 + 71*m**2 - 6 + 57*m**2 - 2842*m.\nAnswer: 176*m**2 - 2842*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(2 + 8\/(-3)). Let p = 97 + -52. Suppose 0 = 4*d - 3 - p. Calculate the greatest common factor of g and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - b**2. Let h be w(1). Let a be (-1 + h)*(-8)\/(-4). Solve 3*t - a*t = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051174837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1504, 1518, 1542, 1576?\n\"Answer: 5*j**2 - j + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 13 = -141*c. What is the closest to c in -3, -0.1, 1176?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.93 + -10. Let n = y + 0.07. Which is the second biggest value? (a) -4 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347*z + 3*w = -1344*z - 18, 3*z = 2*w + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -12071\/3 and -4025 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20564*f**3 - 363*f**2 + 4470*f + 5897 wrt f.\nAnswer: -123384*f - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (16 + -7 + -10 + 9 + -44).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2969 is divided by 2942.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 21\/5, -1 in decreasing order.\nAnswer: 21\/5, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + (20 + -25 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2024, 14\/17, -1\/6, -3 in increasing order.\nAnswer: -3, -1\/6, 14\/17, 2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 1136 = 72*k + 72. Calculate the remainder when 1930 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14672270 or 14672271?\nAnswer: 14672271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 9*y - 16. Let q(d) = 2*d**2 + 18*d + 31. Let o(h) = 4*q(h) + 7*u(h). Let f be o(-8). Solve -6*x - f = -16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -675257 by -1.\nAnswer: 675257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/18, -5\/6, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*i + h + 4, -5*h = -i - 7. Solve -i = -3*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7159 is divided by 6143?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 215141480 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 4531.\nAnswer: 4531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2344825 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(1088)) - sqrt(1088))**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 681*x**3 - 4*x**2 - 2*x + 6. Let r(a) = 681*a**3 - 6*a**2 - 3*a + 9. What is 3*p(g) - 2*r(g)?\nAnswer: 681*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -h - 109. Let q be 28\/8*(-4 - -2). Let m = q - h. What is the third smallest value in m, 2\/3, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*v + 1108 = 0, 5*n - v - 227 = 4*n. Suppose 6*o = 2*o + n. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 4858 - 10*z + 5*z - 2*z**3.\nAnswer: -2*z**3 + 4858","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:58 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 - 16 = 5*s, -3*z - 7 = 4*s. Solve -5*x - 15 = l, -180 = -l - z*x - 187 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 10 - (130 - 100) - -1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*x + 5*p + 2, -2*x = -4*p - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3 = -v. Suppose -3 = -2*g + v. Suppose g*i - 70 = i. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - -0.17. Let v = -3.92 - c. What is the smallest value in v, -2, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 62 (c) 6 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, s: 6, f: 4}. What is prob of picking 2 s and 2 f?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 188*s - 2936. Give w(169).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(-6))\/((-15)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - ((-12146)\/(-6))\/(1\/(-3)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by ((-2430)\/(-450))\/((-1)\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1663*v**3 + 9*v**2 - 16*v - 145. Let f(g) = -416*g**3 + 2*g**2 - 4*g - 32. Determine 9*f(r) - 2*s(r).\nAnswer: -418*r**3 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from llallla?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let d(y) = 4*y**2 - 216*y - 6. What is d(l(x))?\nAnswer: 4*x**2 + 216*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.745384 + 11.74. What is r rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g*g*(g*g\/g**17)\/g*g)**(-6\/5) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 - 205.49. Let b = 4.51 - l. Which is smaller: -265 or b?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(560\/(-15)) + (-478)\/1442. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, -3, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706387?\nAnswer: 19, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-20)\/(-24)*-2. Let d(c) be the third derivative of c**2 + 0*c**3 + 0*c + 0 + 1\/40*c**4 - 1\/300*c**h. Factor d(k).\nAnswer: -k*(k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040833006 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -122910953 divided by 121\nAnswer: -1015793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 38. Let u be (-6)\/4*x\/6. Let z be 0\/(((-6)\/3)\/u). Solve w - 3*w = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(192) + -2 + (-1 + sqrt(192))**2 + -5).\nAnswer: -40*sqrt(3) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yet when three letters picked without replacement from {o: 9, y: 1, e: 1, t: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4 + 132*y**2 - 141*y**2 + 2*y + y**3 - 7. Let n = 1 - -8. What is the units digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + z + 29 = 0, -1 = -5*p + 3*z + 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -558878 (base 9) to base 5\nAnswer: -41201401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050994 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 9:36 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 70*f = 58*f + 1494 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/4*(0 + 1). Let n be (6\/k)\/(15\/(-20)). Is 12 a factor of -36*(8\/6 + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/736 and 151\/72.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*x = -x - 15, 0 = 5*w - 5*x - 15. Suppose w*l - 12 = 5*k + 11, -k - 5 = -l. Solve l = 4*s + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-30)*-5 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 + 1 = 0. Let c be w*-3 - (-21 + 8). Suppose -c*j + 4*j + 156 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 - (70 + -65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - 0.5. Let v = 1 - o. Let f = 6.4 + -6. Which is the smallest value? (a) f (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*(m\/(m*(m*(m\/(m*m\/m**19))\/m)\/m))\/m*m*m**(4\/3)\/(m\/(m*m\/(m\/m**(3\/8)))) assuming m is positive.\nAnswer: m**(-415\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (27\/(-63) - (-104238)\/(-14))?\nAnswer: 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*c = -2*c - 1, 0 = -4*g - 4*c - 8. Let j be (g\/2)\/(2\/28). Is (-257)\/(-7) + (-6)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*x - 32 = 0, 3*d + 24 = 6*d - 4*x. Let m = -6692 + 6702. Solve -2*f = -d*c - 30, -6*c + 3*c - m = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 2\/37, -0.4, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - (-20839)\/2600)*12. Put -4, -4\/3, 2\/13, c in decreasing order.\nAnswer: c, 2\/13, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63273 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u - 6*u. Is (-53634)\/(-21) - (u + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79.7153 + -0.1653. Let a = c + -82. Let b = a + 3.76. What is b rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-36))\/(1\/(-4)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62102 (base 10) to base 7.\nAnswer: 346025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a + -294?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -382. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719166 is divided by 508.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1406 - 2820 + 4635*m**2 + 381*m**2 + 1414 to the form x*m**2 + v*m + j and give x.\nAnswer: 5016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1453?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(-1 + 1 - 3 + (-6 - 17 + 8)*(-2 + 2 - 1)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(-1 - (-51)\/60)*240\/72. What is the nearest to -1 in v, -5, -32\/7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 5*t - 2. Suppose 18 = 2*h - 2*k, 3*h + k + 0*k - 15 = 0. Let r be j(h). Suppose -3*o - 2 = -r*o. Solve -f + o*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005616512744 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438 or 0?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -41. Suppose t*p = 56971 + 5949. Suppose -11*b = -15*b + p. What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)\/((-45)\/180)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45276, -181163, -407702, -724887, -1132712, -1631171?\nAnswer: -2220258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 6*s**2 + 5. Let y = 11 - 17. Let w be h(y). Solve w*v = 25, -3*x - 2*v - 5 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from {v: 3, i: 4, e: 1, t: 4, s: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0 = -4*a - 3*g - 230, -2*g - 1988 + 1872 = 2*a for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*4\/6. Let d be (x + -3 - -1)\/5. Let m = -104.63 + 80.63. Which is the third biggest value? (a) m (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from jww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:31 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.24 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15292*b**3 + 1697*b**3 + 3435*b**3.\nAnswer: 20424*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**1*d*d)\/d**(-3))\/(d**(-1\/2)\/d*d)**13 assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -72, -75?\n\"Answer: -3*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -27, -7, 51, 159?\n\"Answer: 2*s**3 + s**2 - 23*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30263120 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4 + 59*l**3 - 984*l**2 wrt l.\nAnswer: 24*l + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2576\/252 + 10*-1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3954206 divided by -59018\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 - 7*a - 9 + 551*a**2 + 75*a**2. Let l be w(8). What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f. Let m(v) = -7*v. Let k be 2\/(-8) - 75\/(-12). Let p(h) = k*m(h) + 5*j(h). Let l(a) = 1 - 3*a - 1. Calculate p(l(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 - 17*i**4\/12 - i**3\/2 + 3*i**2\/2 - 33*i. Is o(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -18*d**3 - 601*d**2 - 9660*d + 2196. Let o(g) = -g**3 - g**2 + g + 2. Let y(a) = 4*c(a) - 36*o(a). What is j in y(j) = 0?\nAnswer: -33, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:36 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -3 - (0 + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 114792.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-1 + 4 + 3). Suppose -2*n = t - 16. Suppose n*j = 4*a - 611, 2*j + 156 = a + 4*j. What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 8*q + 0*q**3 - 3*q**2 + 0 - 1\/24*q**4. Let v(h) be the first derivative of i(h). Let j(g) = 16*g**2 + 3*g. Give v(j(t)).\nAnswer: -16*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -3 + 21. Let t be -2*2 + 5\/(x - -3). Let r be -1*(3 - (-42)\/t)*1. What is the greatest common factor of r and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqqvqqq. Give prob of sequence qqvq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -98. Calculate the least common multiple of 33 and k.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/5 - 2*k**3\/3 + 332*k**2. Let x(l) = 24*l**2 - 9. Determine -9*f(a) + 4*x(a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, 1 m, and 1 d when four letters picked without replacement from xqdmo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-104)\/24)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 7\/2)*72\/27. Suppose 5*q - 4*t = 7730, -5*q - k*t + 12494 - 4804 = 0. List the prime factors of q.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755932 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.63 - 12.63. Which is the fourth biggest value? (a) 0 (b) 3\/19 (c) 2\/9 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16613208, -16613209, -16613210, -16613211, -16613212?\n\"Answer: -t - 16613207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + 8. Suppose -3*v - r = -6*s + 3*s, 4*s - 145 = v. Differentiate 21*b**2 - 13*b**2 + s - 9 + 20*b**2 with respect to b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = -5*x, 0 = -2*u + 2*x + 206. Suppose 4*s = -2*h + u, 3*h - 39 = s - 3*s. Suppose 0 = -3*o - s + 84. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t. What is x(9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**5 + w**4 - 2*w. Let l(s) = 66*s**5 + 749*s**4 + 534*s**3 - 718*s**2 - 676*s - 12. Let p(h) = -2*l(h) + 38*y(h). Suppose p(r) = 0. Calculate r.\nAnswer: -6, -1, -1\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 3}. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/37 (c) 46 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3698*l**4\/7 - 3870*l**3\/7 + 174*l**2\/7 - 2*l\/7 = 0?\nAnswer: 0, 1\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13372 - -13791.85. What is n rounded to zero decimal places?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*q - 5 - 18, -2*q - i = -13. Suppose q*v = -3*r + 23, 6 = 4*v + 5*r - 15. Suppose o = v*o - 633. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -208\/9*q + 5408\/9 + 2\/9*q**2 = 0. Calculate q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43058*q + 232 + 21537*q + 21537*q.\nAnswer: 16*q + 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*v + 5 + 22 + 67*v - 3*v**2 + 67 wrt v.\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 195940 and 0.00371?\nAnswer: 195939.99629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.3 = -25\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - j. Let n be t(-1). Let q(y) = 3*y**2 - 4*y + 2. Let u be q(2). Let b = u - n. Solve 0 = -4*c + 5*k + 19, 0 = -3*c + b*k + 3 + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35234420 divided by 17617210.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765026653 to the power of 1\/2, to the nearest integer?\nAnswer: 61360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 852380.3 millennia in months?\nAnswer: 10228563600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 5*o = -12, -64 = -5*f + 4*o. Let x be (6*2 - 0)*25\/(-100). Let q = f - x. Calculate the greatest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/1*2\/(-4). Let g(k) be the third derivative of k**5\/60 - 5*k**4\/24 + k**3\/3 + 476*k**2 + 19. What is g(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s + 27. Suppose 0 = -5*d + 9*d - 20, 54 = 4*m - 2*d. Let l = s + m. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 65 = 5*p + 6*a, 0 = -2*a. Let l(z) = 17*z**2 - 13*z - 15. Let i(h) = -8*h**2 + 6*h + 7. What is p*i(w) - 6*l(w)?\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmrorrmmrmrmom. What is prob of picking 1 o and 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*l**3 - 63*l**3 - 66*l**3 - 63*l**3 - 80*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -458, -680, -904?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(153) - -4*-1*sqrt(153)) + 4)**2.\nAnswer: 360*sqrt(17) + 34441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -1. Let d = 19.1 + -16.1. Sort i, d, -0.9 in decreasing order.\nAnswer: d, i, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 877 + -900 + 114 + 5.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(213\/72 + -3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -8, -1.1, -19, -2\/17, -5, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3966 and -47\/2644.\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-14))\/((-2)\/2). Solve -5*u + 3 + 22 = i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3) + 2\/3. Let j(o) = 1 + 1 - 23*o**p + 3*o + 19*o**2 + 3*o. Suppose 4*d + 4 = 28. Let m(u) = 5*u**2 - 7*u - 2. What is d*j(z) + 5*m(z)?\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 3*o + o)*(-9*o + o + o) - 115*o + 115*o + 7*o**2)*(-4 + 4 - 5)*(o - 2*o + 2*o + (-1 + 4 - 4)*(-5 + 2*o + 5)).\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13a (base 13) to base 14\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 37*p + 4. Give i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-8) + -2*(-5)\/40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1625, 6577, 20023, 46211, 89389?\nAnswer: 153805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.14. Let o be ((-1)\/4)\/(612\/(-48)). Is o greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 + 17. Let h = -0.2 + k. Which is the nearest to -0.1? (a) -0.2 (b) h (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13381311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343 - 343 - 4*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16252 and 1195?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 36?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2583 and -86\/105?\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2234, -2161, -2088, -2015, -1942?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*d - 17 = 0, 4*r + 4*d - 17 = 3. Suppose 0 = -3*p + 4*p - r. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 - y + 0*y**3 - 8 - y**3 - 3*y**2. Let o be z(-9). What is the least common multiple of o - (2 - -4)\/(-2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let c(g) = g - 1. Let w(y) = 2*c(y) + 18*j(y). Let n(k) = k**2 - 4*k + 2. Let r be n(4). Is 18 a factor of w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**2 + 4*b + 8. Let v(c) = -c**2 + 1. Let d(g) = n(g) - 6*v(g). Let w be d(-3). Let i = -633\/5 - -127. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6*6*(-8)\/12. What are the prime factors of s\/(-14) + 170469\/329?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1171208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 42343*i**2. Let t(w) = 158*w**2. Calculate -3*h(j) + 805*t(j).\nAnswer: 161*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 4, w: 3, g: 4, i: 2}. What is prob of picking 1 w and 2 u?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and 31\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42853060, 42853057, 42853054, 42853051, 42853048?\nAnswer: 42853045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5437 - 341*g - 5437)*(g**2 + 3*g - 3*g) to y*g + k + v*g**3 + m*g**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 10 - 31 + v + 27*v**2 + 11 + v**3 to the form m*v**3 + q + r*v**2 + j*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52070 and 9020?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvwkp. What is prob of sequence wv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, 4, -53275, -2\/53, -0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 23*z - 86. Let u be p(17). Calculate the greatest common factor of 60 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*x + 1, 0 = 4*t - 2*x - 22. Let y be (-20)\/15*-1*t. Suppose -5*r = -3*b + 392, 2*r - 511 = -y*b - 3*r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 12886 - 5*g + 12828. Let t be a(-5). Let h(f) = -11*f**2 + 3*f. Give h(t).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -47. Solve 0 = -3*z + 3 - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176781.00044 - 176871. Let r = g - -90. Round r to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(240) + -1*sqrt(240)*1)\/(sqrt(605) + sqrt(605) + sqrt(605) + (-5*1*sqrt(605) - sqrt(605)) + sqrt(605)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 4:55 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 13660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 - 385.833. Round r to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1452b454 + -2?\nAnswer: -1452b456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-1 + -14 - (1062 + -1046)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -40445326 and -40445325 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 20*m - 15*m + 11 = 8*m + 2*m, -m = 2*i - 31 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 57*h**3 + 1209*h**2 + 11323*h + 39546.\nAnswer: (h + 13)**3*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -137427615 - 0.3?\nAnswer: -137427615.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phph when four letters picked without replacement from {h: 4, p: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - (-3)\/(3\/4). Let d = x + -14. Suppose -2*l = d*l - 20. Solve -2*q = l*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 8*j - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 110 = 4*g, -g - l + 20 = -5. Let d = -5 - -8. Suppose -4*o + 2*w = -21 - 1, 5*o - g = d*w. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288312 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 353 + 58 = -111 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:14 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73 and 1291121843.\nAnswer: 1291121916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -a - 9 - 156, -312 = 2*a - 4*s. Let h be a\/189*(-7 + 0). What is the third smallest value in h, 0.11, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -46.\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11865166 to the nearest integer?\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Let p be c(-4). Suppose -3*z - 15 = 2*z. Let m be 6 + z + (-6)\/(-6). Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 6*n + 2*n)*(3*n**3 - 8*n**3 - 4*n**3) + (-n**2 + 0*n**2 + 3*n**2)*(2*n - n**2 - 2*n) in the form i*n**3 + w*n**4 + c*n + z + l*n**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*t - 123*t + 59*t + 103 + (-2 + 2 - 3*t)*(-4 + 4 + 4).\nAnswer: -19*t + 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 77*v - 3. Determine w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13148 = -841*s + 45947 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 24324373 less than -0.3?\nAnswer: -24324373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 266.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*i - 21, 3*i = -2*d - 2*d - 8. Which is the closest to d? (a) -14 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -5507?\nAnswer: -4405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**5 + 5*r**4\/3 + 11*r**3\/3 + r**2 = 0.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 17. Let u = h + -5.999. What is u rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9078\/(-1292) - (-5 + 5 + 3)) + 10\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*y - 3309 = -371 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 4*q + 19. Calculate o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/3 + r. Let b(s) = 2752*s**2. Let x(f) = 102*f**2. Let z(t) = -6*b(t) + 160*x(t). Calculate h(z(o)).\nAnswer: 384*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5 = -2*h, -11*q + 20 = -7*q + 4*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 438\/36 - 1\/6. Which is smaller: 13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 2. Calculate the remainder when 215 is divided by z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 3, -48 in descending order.\nAnswer: 3, -48, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**7\/2520 - f**6\/216 + 7*f**5\/360 - f**4\/24 - 7*f**3\/6 + 8*f. Let i(y) be the second derivative of k(y). Factor i(n).\nAnswer: (n - 3)*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -8 in descending order.\nAnswer: 9, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62709039 to the nearest integer?\nAnswer: 7919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.18 (b) -2\/11 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3305 + 3337. What is the smallest common multiple of 904 and j?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/2861 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 3*f - f)*(-3 + 3 - 4*f + 2)*(2*f + 1 - 1)*(2 + 1 - 2) as o*f + w*f**2 + d*f**3 + q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -846151*x. Let r(u) = -2*u - 2. Give r(q(d)).\nAnswer: 1692302*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*s = 1150, 4*f - 122*s + 125*s - 2336 = 0. What is f rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, -1\/2, -22, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42\/5, -5, 0, -1.8, -1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 381*b**2 - 729*b**2 + 357*b**2 + 16*b**3)*(-3*b - 6*b + 3*b) to the form v*b + a*b**2 + n*b**3 + s*b**4 + q and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -798775691.4 rounded to the nearest 1000000?\nAnswer: -799000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1254?\nAnswer: -1\/1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 759 + -425. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22579\/10 - -2258. Let v(a) be the first derivative of 0*a + 2 - 1\/5*a**2 + 1\/15*a**3 - 1\/25*a**5 + o*a**4. Factor v(f).\nAnswer: -f*(f - 2)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612482.\nAnswer: 2, 1306241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*((sqrt(153) - -1*sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153))\/((sqrt(54)\/sqrt(2))\/sqrt(3)) + 6*sqrt(68)\/sqrt(4)*5 + 2 + 3)*-6)**2.\nAnswer: 14760*sqrt(17) + 1029672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 4. Let y(p) = -12. Let j(l) = 17. Let s(m) = 2*j(m) + 3*y(m). Determine 2*r(c) + 4*s(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**2 + 5*o**2 + 5*o**2)*(-185 + 185 + 256*o**2).\nAnswer: 5632*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 68175 divided by -1\nAnswer: -68175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 414*t + 128. Let n be c(-69). Suppose 2*y = a - 822, 5 = 9*y - 8*y. Calculate the highest common divisor of a and n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3 - 5*s - 1 + 18*s. Let z be 3 - 0 - 0\/(-2). What is the units digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o**2)*(-77 - 35 + 35)*(0*o - o + 0*o).\nAnswer: -77*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = -3*i, -i + 4*n = -20. Let d = 29 - 27. Solve a - d = -i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.038 - -7.188. Let a = l - 0.15. Let k = a - 6.8. Sort -1\/4, 0, k in increasing order.\nAnswer: -1\/4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 71512 = 4*a, 8*a = 3*a + 4*q + 89399. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 19*d + 1181. Let y be x(29). Let z(v) = 10*v. Let f be z(2). What is the highest common divisor of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 16 = -4*q, 5*r - 5*q = -6*q - 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*g = 6*g - 2, 4*g + 30 = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -18\/5, -2 in ascending order.\nAnswer: -5, -18\/5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.9999926 + -77. Round l to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - 1.7. Let m = p + 0.3. Let r be ((-2 - -5) + -4)*1. What is the closest to -1 in m, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/(-2))\/(6*12\/24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*8*(-4)\/(-4464)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) -434 (d) -2\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-88) - (-2)\/8. Sort 4, 0.1, z, -1 in increasing order.\nAnswer: -1, 0.1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 461, 882, 1303, 1724, 2145, 2566?\n\"Answer: 421*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*i + 19*i + 20*i**2 + (-3*i - 2*i + 7*i)*(-4 + i + 4) + 4 - 4 + i**2)*(-23 - 62 + 160) as l + m*i**2 + o*i and give m.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2817*v - 98601. What is u(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/29 (b) 3 (c) -0.35 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*r + 24 + 41 = 0, f - r = 16. Suppose -21 = -5*a - f. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 9*j = 75150. Let w = j - 2742. What are the prime factors of w?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 34*z + 26*z + 1100 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2 + 2. Let t = -4.49 - -1.49. What is the nearest to m in 1, t, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12) - ((-2)\/(-2))\/(-147 + 145).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 - 3*o**2)*(-37*o - 36*o + 52*o)*(4*o + o - 2*o).\nAnswer: 126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 4319*s**4\/12 - 1162*s**3\/3 - 1794*s. Find the second derivative of y(v) wrt v.\nAnswer: 8638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-558)\/78 - (-4)\/8*14. Let v = 0.3 + -1.3. Let u = v - -0.9. What is the nearest to 0 in i, 3\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259.82 - 257.82. Do l and 0.1009 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 8, 27, 46?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(1\/(-30)). Let 14*k**2 - 6*k**4 + 27 + 2*k**3 - 20 - 2*k**5 - u + 0*k**2 = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = o + 1222, j + 239 = 2*j - 2*o. Suppose 6*w + j - 3587 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - t**2 - 3*t**2)*(2*t**3 + 19 - 20 + 4*t**3).\nAnswer: 12*t**5 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2260 and 10.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q = 419 + 98. Solve -2 = -q*y - 46 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2. Let t(y) = -7*y**2. Determine t(j(a)).\nAnswer: -175*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438338 - -187078. Round c to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -4*n. Let h be 2 + n\/(12\/(-688)). Let p = 109 + h. What is p rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24126, 1\/5, 0.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 - 3*b**2 - 7*b + 9. Let h be i(2). Solve -h*n - 10 = -12*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let p(l) = -2*l. Suppose 2*s - j - 7 = -0*s, -12 = 4*j. Let n = 6 + -11. Let q(g) = -4*g. Let w(x) = n*p(x) + s*q(x). What is a(w(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**0*f)**(-34))**(-3\/4))**(1\/41))**(-16) assuming f is positive.\nAnswer: f**(-816\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49458 greater than or equal to -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196149 divided by -2.\nAnswer: -1196149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-25)\/3. Let m be (-276)\/27 + 8\/36. Let c be 2 - m\/(-2) - -8. Solve c*n - 6 = -5*k + z, 2*k + 5*n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2)*i))**9)**(13\/5) assuming i is positive.\nAnswer: i**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419650 is divided by 209797.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 18*j**3 - 10*j**2 - 7*j - 6. Let y be v(6). What are the prime factors of ((-26)\/8)\/((-30)\/y)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -a1?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 4*h**2 - 5*h**2 + 15*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56030813 to the nearest integer?\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:08 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 3*j - 2*j)*(-j**2 + 3*j**2 - 8*j**2)*(-11*j - 5 + 5) as h + c*j**4 + z*j**3 + r*j**2 + i*j and give c.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-7)\/(-4)*2. What is the tens digit of (-357)\/n*(-6)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(102)*-1 + sqrt(102) - (sqrt(102) + sqrt(102) + 1*(-1*sqrt(102) + sqrt(102))))\/(-3*-2*sqrt(216)).\nAnswer: -7*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(-25))**(-1\/2)\/(z\/z**(-2\/7)*z\/(z*z**(3\/4))*(z**1)**(9\/4)) assuming z is positive.\nAnswer: z**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -60*n - 4546. Let v be j(-77). Which is the closest to 0.02? (a) v (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17084057\/600 - 56947\/2. Find the common denominator of m and -119\/18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142414582 rounded to the nearest 1000000?\nAnswer: 1142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2\/8*10. Let v = 60 + 2. Let u = v - 47. Calculate the highest common divisor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7514?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*z + 3*v, -z + v - 1 = 4*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007691 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glp when three letters picked without replacement from llglllplplg?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 529566073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25030 (base 10) to base 2.\nAnswer: 110000111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -4 - 1)*-1. Suppose s = t + t - 46. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (156*r - 2431*r**2 + 1357*r**2 - 1678*r**2 - 156*r)*(-r - 3*r + 2*r) to c*r + a*r**3 + i*r**2 + x and give a.\nAnswer: 5504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (8 + -8) - (491 - 482) - -50.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.017 - 23.017. Let u = o - -25. Sort -0.4, -0.2, u.\nAnswer: -0.4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264465, -528924, -793383?\nAnswer: -1057842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 553, 3, 0 in decreasing order.\nAnswer: 553, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + -0.77. Let j = 4.1 - m. Let l = -1.2 + 1. Which is the second smallest value? (a) l (b) j (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x - 298*x + 11808 = 3584 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/273664 and -55\/14.\nAnswer: 1915648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 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 d(r) = r + 5. Let b be d(-5). Put 3, -1, b in ascending order.\nAnswer: -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39052, -39018, -38912, -38698, -38340, -37802?\nAnswer: -37048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let s(d) = -32172*d. Give a(s(k)).\nAnswer: 32172*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 24948*t + 155600676.\nAnswer: (t + 12474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(x**(-9)*x)\/x*x*x*x**17 assuming x is positive.\nAnswer: x**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -8, -3\/2, 21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179184 is divided by 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t**2 + 2*t**2 + 20*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*s - 5*m, s - 6*m = -2*m - 18. Let r(u) = -10*u - 11. Let a(w) = w + 1. Calculate s*r(q) - 22*a(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 4*p = 9*l + 8, 5*l + 6*p = 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2312207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134091 and 3384.\nAnswer: 1072728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x - 39. Let w(z) = z - 2. Calculate 18*w(f) - y(f).\nAnswer: 9*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.27504 millilitres to litres.\nAnswer: 0.07327504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:12 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - n - 1. Let t be f(2). Let z(v) = -v**2 - v + 3. Let b be z(-3). What are the prime factors of b\/(t\/(-51)) - -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -177.665 and -1.\nAnswer: -178.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12876864 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4025 + 0.059. What is s rounded to two decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 34*y**2 - 2*y - 10. Let c(z) = -2*z**2 + 2. Calculate 7*c(w) + p(w).\nAnswer: 20*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37269 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*96\/(-144)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 + (-2 - 1 + 4)*(2 + 0 + 0) - 5 - 1 + 5)*(0 + 1 + 1 + (-3 + 6 - 4)*(-3 + 0 + 1) + 2 + 3 - 7 + 1 - 4 + 4)*(-15*k - 3*k + 5*k).\nAnswer: -117*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 9. Calculate the lowest common multiple of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*l - 87. Suppose s + l = -3*c, -5*c = -4*s - s + 45. Let k = 3 - c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -15 (b) -1\/5 (c) -1\/22 (d) 712 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 + 157. Suppose x*y - 136 = 242. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -c - 52, 4*c + 0*g + 236 = g. Let n be -2 + c\/35*-7*1. Let l(d) = d**2 - d - 16. What is the tens digit of l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217558, -435002, -652318, -869500, -1086542?\nAnswer: -1303438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -11. Let y be 88\/114 - (-2)\/(-3). Let s be (0\/2)\/(-1 + 3). Which is the second biggest value? (a) s (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 - k - 68. Let y(m) = 5*m**2 - m - 69. Let r(j) = 4*s(j) - 5*y(j). List the prime factors of r(0).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -65. Let y be (-3*(4 - 5))\/1. Which is the second biggest value? (a) y (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 16*v + 659. What is a(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*x + 16, 0 = 2*j - 3*x - 2*x - 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -599 - -2) + -1. Let s be 4\/20 + n\/10. Suppose y + y = s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 72. Factor 6 + 13*p + 2*p**w - 10*p + 5*p.\nAnswer: 2*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/4 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 14*y + 36 = -10*y. Sort -3, 0, 5, y, 98 in increasing order.\nAnswer: -3, 0, y, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 j, and 1 y when four letters picked without replacement from tojjyyyjtttjjotjo.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**4 - 3*v**2\/2 + 3*v - 17. Let n(y) = -25*y**3 + 10*y - 10. Let w(j) = -3*n(j) - 10*z(j). What is w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47656 - 49943 - 2*u**3 + 97599.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/12 - 4*b**3\/3 + b**2\/2 + 7*b. Give c(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 189. Is 29 a factor of (-9 - -13)*(114 + 4\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 277 - 271 = 0. Is -12 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z**(-5\/2)*((z*z**(-2\/5))\/z*z)**(-21) assuming z is positive.\nAnswer: z**(-443\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 3)*(0*s + 0*s - s**2)*(s - 2*s + 2*s + (1 - 2*s - 1)*(-3 - 2 + 4)).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - -3 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3. Let t(z) = -2. Let j(h) = 3*r(h) - 4*t(h). Let g(m) = -7*m + 4. Let b(d) = g(d) + 5*j(d). Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/266)\/(((-4)\/(-5))\/((-63)\/5040))?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*b**2 + 100*b**3 - 102*b**3 + 5*b**2 - 2*b**2 to n*b**2 + s*b + o*b**3 + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261879087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220 - -214. Let g = 10 + p. Let u(z) = z**2 + z - 4. Let l be u(0). Which is the nearest to -1? (a) l (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -27*f + 18*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ree when three letters picked without replacement from {r: 1, e: 6, d: 2, n: 1, x: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 1 = 5*o. Let p(k) = -126*k**2 - k + 253*k**2 + 3 - 122*k**2 - k. Let m(a) = a**2 + a - 1. Let v(z) = -2*m(z) - p(z). Calculate v(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.19?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*v + 35 = 87, -3 = 3*v. Let k(c) = c**3 + 22*c**2 - c + 23. What is the remainder when k(-22) is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/3 + 4*t**2 - 32*t\/3 = 0. What is t?\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j**2 + 1012*j - 16850. Determine v(61).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 2, l: 4, b: 1}. Give prob of sequence up.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(2) - (sqrt(128)*1 + sqrt(2))) + 0)*3*6)**2.\nAnswer: 41470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d + 84. Suppose l + 2 = 4*g, 57 = -6*l + 3*l - 5*g. Let p be b(l). Solve 0 = 2*f + p - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -3*g - 66. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 7\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/546 and 59\/9.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 + 220*c**4 - 5100*c**3 - 52640*c**2 - 89090*c - 41772 = 0 for c.\nAnswer: -6, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*8.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 - 27*b - 44. Determine x(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.5. Let j be 11*(-1)\/110*-20. What is the nearest to 0.1 in -5\/6, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*k = -14. Suppose -k*n = 3*t - 1594, t - 565 + 39 = 2*n. Let q = t + 150. Round q to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*u**2 + u**2 - 13*u**2.\nAnswer: -12*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9470 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4347327, -5\/6, 11, -3 in descending order.\nAnswer: 11, -5\/6, -3, -4347327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14*35\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(99))*6.\nAnswer: 30 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126435 + -448?\nAnswer: -126884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*u**2 + 551 - 551.\nAnswer: 82*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 590.611um?\nAnswer: 0.000000590611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v + 60. Let t be q(-7). Let n be 2*5*(-2)\/t. Solve 0 = 5*f + 4*w, 0 = 4*f - 2*f + 2*w - n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2640 and 111045.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30250 and 990?\nAnswer: 272250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3718 plus -0.067?\nAnswer: 0.3048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2803*w**2 - 296*w**2 + 46 - 4.\nAnswer: -3099*w**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrlflrflrlllrl. Give prob of sequence lf.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m + 2. Let l(s) = 5*s - 4. Let y(q) = c(q) + l(q). Give y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/1 + 5. Let k be 6\/z*(-1 - (-21)\/18). Let g = 2 + -1.8. Which is the nearest to 3\/2? (a) 2 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12011011 (base 3) to base 16\nAnswer: -ead","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6257797845.\nAnswer: 3, 5, 13, 47, 157, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3322 + 9971 + 3*r - 3321 - 3328.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402055 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 27*z - 870. What is the least common multiple of z and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 818 - 8173\/10. Let f be (-1)\/90*7 + 1. Let a = f - n. What is the second biggest value in -5, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 1\/7, -149, -5955?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 629*q - 633*q. Which is bigger: q or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3151516*h**2 - 1005147 wrt h?\nAnswer: -6303032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/269 and 2\/3?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*i. Let a be (0 + 0)\/i - 1200. What is a rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 6428*s**2 + 546300*s - 5631696.\nAnswer: (s - 6342)*(s - 74)*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14841*v - 2717654 + 2717654 + 2482*v in the form g + b*v and give b.\nAnswer: 17323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - e28e28?\nAnswer: -e28e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -302 - 3?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/(a\/(a\/(a\/a**(3\/7)*a)))*a*a*a\/(a*a**(3\/8))*a*(a**(-8)\/a)\/a)**12 assuming a is positive.\nAnswer: a**(-1461\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200764103?\nAnswer: 281, 714463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.13568 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3220)\/(-2940)*231\/11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:56 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + o**2 + 6*o**2 - 2*o**2 to a*o**2 + f + h*o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -4) + 51 + -59?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (84\/(-70))\/(24\/300)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t - 457 = -665 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/2175 and 67\/726160.\nAnswer: 10892400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121783521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.6 (b) 9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1970, 2312\/99 in decreasing order.\nAnswer: 1970, 2312\/99, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = 4*y + 2*p, 0 = y - p + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s + 8 = 0. Let v(i) = 0*i**s + 3 - 3*i + 9*i**3 + i + 2*i**2. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34015009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*z = -37 - 36, -2*z = -2*w - 32. Suppose 3*v - 42 = -3*i, -3 = 3*v + 2*i - 40. Is 7 a factor of (3 + v)*w\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-4) + 1)*2. Let a be 4\/(-14) - 2\/k. Suppose -5*l = a, 3*b - 2*l = -2*b + 20. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64235 (base 11) in base 14?\nAnswer: -260b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 3231?\nAnswer: 12924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/1)\/(-10))\/((-14)\/(-10)*5\/20).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -60*r - 413. Calculate c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 10*m**3\/3 - 13. Let c(w) = 6*w - w + w - 4*w. Determine c(a(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 398808, 797608, 1196406, 1595202?\n\"Answer: -h**2 + 398803*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 2635. Let p(z) = -3*z. Determine p(f(c)).\nAnswer: 3*c + 7905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 546, -10, -69.\nAnswer: -69, -10, -3, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 15. Let v be s(9). Let r(a) = 37*a - 7. Let x(z) = -44*z + 8. Let i(k) = 6*r(k) + 5*x(k). What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 7*c - 7*c - 7*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 3894119?\nAnswer: 3894119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*u**3 - 1 + 1.\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-6 + 4)*3.\nAnswer: -36*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 42 + 58 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Suppose 5*i - h*i = 8. Suppose 0 = -b + 19 - i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:53 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -22823\nAnswer: -684.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -27. Suppose -4*y = 5*x - 23, -x + 3*x = 5*y - d. Solve 0 = 5*p + 5*m + 5, -x*p - 11 = -2*m + 3*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*(-6)\/99.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*y - 66*y - 48 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74889.\nAnswer: 3, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 10*o = 25. Suppose -i + 0*i = -o*r, 3*r + 5*i = 0. Are 1\/16 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s + 1 = 29*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12301 and 11.\nAnswer: 135311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/((-5)\/25). Suppose -4*s + r*u = s - 520, 4*s = u + 410. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188273219699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 7*g - 399637 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1754454 divided by 1079.\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Solve 2*a = -4 - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6536?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.980836ug in tonnes?\nAnswer: 0.000000000003980836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76664*a**3 + 7*a**2 + a - 10044187 wrt a.\nAnswer: 459984*a + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 12*k**2 - 22008*k**3 + 1 + 21986*k**3 + 8*k**4 in the form r*k**3 + y*k**2 + u*k**4 + g*k + l and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41484413 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*((-56196)\/(-7749) + 1*-8). Is r at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u - 80 = 0. Suppose -u = -3*y + 4. Suppose 0 = f - 10 - y. What is the greatest common divisor of f and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let a(o) = -7 + 6 + 1 + 7*o**2. What is j(a(r))?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*x + 17*x - 1296212 - 123679. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4836 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + 863. What is the highest common divisor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -498*t - 10194. Calculate u(-27).\nAnswer: 3252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 57. What is the smallest common multiple of 24 and t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21847 + -19757. Calculate the least common multiple of u and 35.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1467\/53 - 76419\/848. Which is smaller: g or -61?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiuiiiuii. Give prob of picking 1 i and 1 u.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let c be 288\/6 + g*-1. Suppose -3*k + c + 21 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 13*a**2 - 16*a - 52. Let x be l(-12). Is 384 - ((-4)\/(-8))\/((-1)\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + -0.25. What is the closest to -1 in 3, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22590538 is divided by 194746.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4*g + 0*g - 3*g) + 27 - 1441*g - 23 + 2291*g.\nAnswer: 852*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - a = 32, 5*r - 79 = 2*a. What is the remainder when 101 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 232, 525, 946, 1501?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 321389\/(-88563) - (-33)\/9.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 20*u**2\/3 + 32*u\/3.\nAnswer: 2*u*(u + 2)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 2 + 2)*(-9 - 10 - 1)*(-11*v + 4 + 4 - 6)*(-1 + 1 - 8).\nAnswer: -3520*v**3 + 640*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h + 0 + (0 - 3 + 2)*(3*h - 2*h + 0*h) - 22*h - 18 + 18.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 - 3*f + 1. Let g be k(-1). Solve 4*p + 17 - g = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -13. Let p(k) = -11*k + 6 + 16*k + h*k - k**2. Let q be p(5). Calculate the highest common divisor of q and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 66695*j**2 + 65*j - 66695*j**2.\nAnswer: -2*j**3 + 65*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/332208 and 17\/498312.\nAnswer: 996624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 - 1 + 6*j. Let p(r) = -2*r**2 + 3*r - 3. Let k(i) = 21 + 10*i**2 - 4 - 1 - 16*i. Let v(d) = -3*k(d) - 16*p(d). Determine l(v(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i + 4. Let w(x) = -x**2 - 7*x + 5. Let d be w(-8). Is o(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -457\/7. Let -2\/7*h**2 - 2\/7*h + 2\/7*h**3 + a = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, -2\/11, 615, -4, -0.3, -2?\nAnswer: 615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 10*g**2 - 7*g - 14. Let a be l(9). Solve -a*p = 3 + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11ba + 592?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + 3. Put p, -2\/11, 0, 4 in descending order.\nAnswer: 4, 0, p, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 770\/1155*12\/(-7)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/16614 and 81\/20306.\nAnswer: 182754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*z + 1 - 416*z + 1304*z - 432*z.\nAnswer: 51*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose -v*q = -4*j + 39, 5*j + 20 = 3*q + 59. Calculate the lowest common multiple of j and (19 - 24) + 14\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321310 - 2231013?\nAnswer: 1030231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 103312528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*y - 21, -2*y + o - 5 = -2. Let d be (8\/(-6) - -1)*y. Let n = 11 - d. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let y be (0\/(-7))\/(1 - w). Does 4 divide (-7)\/((5\/45)\/(-1 - y))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - 103\/(-7). Suppose -u - 2*u + x = 0. Suppose -u*c - 5*a = -20, -4*c + 15 = -2*a + 5*a. Let z(b) = -b**2 + 6*b - 3. Give z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68401 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05217 and -0.1.\nAnswer: -0.15217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 82935491.45?\nAnswer: -82935491.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**4*y - 28*g**4 + 565*g*y - g - 2*y wrt g.\nAnswer: 96*g**2*y - 336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3526*s + 2*v = 3527*s - 1, 2*s + 5*v + 16 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k - 3. Let n be w(7). Suppose 0 = 5*q + n*m - 760, 3*m - 163 = q - 2*q. Suppose -q = -6*v + 8*v. Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 6*n + n + (-1 + 3 - 3)*(3*n - 2*n - 4*n) to m + r*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1449394516 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/5306 and 109\/5810?\nAnswer: 2201990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174962 and 14?\nAnswer: 1224734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6254 in -1, -2\/5, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202025360.\nAnswer: 2, 5, 397, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21220796 to the nearest integer?\nAnswer: 4607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3009 and 161\/58567176?\nAnswer: 58567176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooofffoooolf.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 2*o**2 - o + 12. What is the least common multiple of 8 and w(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*h*l*o**3 - h*o**3 - 2*h + 606*l*o**3 + 3*l*o**2 + 20652*l - o**2 wrt o.\nAnswer: 66*h*l - 6*h + 3636*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-1 - -1)\/(-8 - -9) - -162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 3, o: 2, v: 2, n: 2, q: 2}. What is prob of sequence nvqg?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4250\/((-391)\/(-23)))\/((-202)\/(-101)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-8))\/((131\/(-786))\/((-28)\/(-35)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 158069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166799 > 166800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + b)*(0 - 2 + 3) + 0*b + 4*b - 3*b - 2*b - b + 4*b + (-1 + 1 + 2*b)*(2 + 1 - 5).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - i + 38 + 42 = 0, 2*i - 65 = -3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1 + (-2 - 4 + 4)*(3 - 4 + 3) - 3 - 1 + 2)*(0*s - 3*s + 4*s)*(45*s - 13*s - 21*s) in the form p*s**2 + q + z*s and give p.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0 - 12. Let y = 3 + -1. Suppose -5*f - k = -25, 38 = 3*f - 2*k - y*k. Calculate the remainder when f is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214716 is divided by 42899.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 + 116\/(-16))\/((-36)\/(-66)) and 4\/2 + 2\/64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and 1\/69795030.\nAnswer: 69795030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 1, -1\/4, 4, -1341 in ascending order.\nAnswer: -1341, -0.5, -1\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 - 37 - 96)*(-u**3 + 3*u - 3*u).\nAnswer: 205*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2793, -5, 101, 0.\nAnswer: -2793, -5, 0, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -120, -142, -146, -126, -76?\n\"Answer: l**3 - 41*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/549)\/((-74)\/9324).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 6*v + 3. Let k(a) = a**3 - 5*a**2 + 11*a - 6. Let c = 57 - 52. Let y(x) = c*u(x) + 2*k(x). Find the second derivative of y(b) wrt b.\nAnswer: 12*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-42)*-21*16\/120. Solve -9*f - 5*h - n = -6*f, 3*f = -2*h + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184036183?\nAnswer: 919, 200257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 5*k + 2*k + k - 3 - 14 in the form z + u*k and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -303?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23711 equal to 23699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**3 - 25*j**3 + 3*j**3 + 6*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -203, -158, -85, 22, 169?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -314\/26547 or -5?\nAnswer: -314\/26547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -131503 - 1.796485\nAnswer: -131504.796485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*10*22\/(-2310)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b + 165 = -54. Solve -b*d + 16 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**3 - 2*x**2 + 2*x + 3. Let c(v) = 9*v**3 - 3*v**2 + 3*v + 4. Give -2*c(o) + 3*u(o).\nAnswer: 12*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221242 + -657068. Let w = -1125174 + o. Round w to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 322?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Let i = h + 6. Suppose 24 = 4*y + 3*p, 101*y - 110*y = 3*p - 39. Solve -4*d - 3*a = y + 14, -d + i*a = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5514*i - 22060. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + 6 + -124 + 1 + 24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 3071.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 + n**5\/6 + n**4\/8 + 7*n**3\/2 - 31*n**2. Let s be o(-9). Suppose 627 + s = 2*w. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1105 - 1104. What is the nearest to 44 in w, -0.4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.485 - -0.485. Is 2\/15 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 3*n - n)*(-1 - 3 + 3) + n + 2*n - n - n + 0*n - n + (1 - 1 - 2*n)*(-3 - 3 + 4) + 164*n + 58*n + 332*n as k + c*n and give c.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 8, k: 3, h: 6, r: 1}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084974 to the power of 1\/2, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6681 is divided by 290?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**6\/840 + 53*g**5\/140 + 2809*g**4\/56 + 68*g**3 + 120. Let f(b) be the third derivative of y(b). Factor f(s).\nAnswer: 3*(s + 53)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1472\/460)\/(-3*(-28)\/(-315)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 0, -4, 1 in descending order.\nAnswer: 1, 0, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 500, 142, -216?\n\"Answer: -358*p + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 4 in decreasing order.\nAnswer: 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226438 and 12470?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*a + 4, 5*a + 2 = 3*c - 1. Let g be ((-4)\/8*0)\/c. Let p(v) = -v**3 + v. Let y be p(g). Solve b - 3*b - 8 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.7 (c) -4 (d) -216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75926 = -5*j + 6856. Let u be ((-35)\/(-25))\/7 + j\/(-5). Suppose -l - u = -4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 4*d - 2. Let h(u) = -2*u**2 - 9*u + 4. Let x(o) = 6*h(o) + 13*v(o). Let b be x(3). Let p = 118 + -117. Is p less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, 706, -1 in increasing order.\nAnswer: -4, -2, -1, 4, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-325)\/(-195))\/(((-4)\/(-3))\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 2*s**2 - 2*s + 2. Let x(p) = 2*p**3 - 2*p**2 - 2*p + 2. Let k(z) = 2*z - 12. Let b be k(9). Let c(w) = b*l(w) - 7*x(w). Factor c(h).\nAnswer: -2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -31.466 (c) 0.2 (d) -2\/3 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/44 and 86\/(-903) + (-2887)\/(-2310)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439387.\nAnswer: 41, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 438 and 98988.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 6*h**2 + 8*h + 6. Let i be x(-5). Is 1940\/3 + (-3)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*h**2 + 39636*h\/5 + 269088.\nAnswer: 6*(h + 40)*(25*h + 5606)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -281 + 496. Find q, given that -m*q + 10*q**2 - 25*q**3 - 35*q**4 + 215*q = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(648).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4\/5, -13, -21\/17, -1, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45764, 45987, 46306, 46721, 47232?\n\"Answer: 48*l**2 + 79*l + 45637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) -1 (c) 2\/7 (d) 9\/2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*h + 26 = 1, 2*h - 5 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-23)\/(x*x*x*x\/(x**2*x)*x**(-2\/17)*x) assuming x is positive.\nAnswer: x**(263\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38 - -2*1)*3. Suppose 7*n - 6*n = 4. Suppose n = -4*t + s. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 - (-117)\/26*(-4)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(475) + 1 + 3 + sqrt(475)))**2 + -1 + (sqrt(931)*-3*3 - (sqrt(931)*-2 + sqrt(931) + sqrt(931) + 4)).\nAnswer: 1937*sqrt(19) + 47895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -24.01.\nAnswer: -4.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 22. Let w be j(-2). Suppose -5*g + 0*u + u = -142, -2*g + 2*u = -60. Let o = g + w. What is the highest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/42)\/((-7695)\/3591)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 - c - 1. Let v(r) = r - 3. Let f be v(0). Let t be g(f). Suppose -3*x = -4*l + 64, -3*l + t*x = -4*l + 16. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63193.1 litres to millilitres.\nAnswer: 63193100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i + 18. Let k(r) = 11*r**2 - 8*r + 7. Let o be k(i). Suppose 0 = -4*y - y + o. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6)\/(f*f\/(((f\/f**(3\/2))\/f)\/f))*(f\/f**3)**13 assuming f is positive.\nAnswer: f**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at least -671\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from hfljwlf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24806721556.2 + -0.382.\nAnswer: -24806721556.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 1255 + 1055 = 0. Solve 0 = v*o - 60*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 2. Let u(p) be the third derivative of p**7\/5040 + p**6\/720 + 4*p**5\/15 + 29*p**2. Let l(v) be the third derivative of u(v). Give 2*l(g) - o(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -28, -84, -174, -304?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2125443, -2125443, -2125451, -2125473, -2125515?\nAnswer: -2125583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1121?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1*a)**(-1)\/(a**(-2)\/((a*a\/a**(-8))\/a)) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*n + 22 - 18, -6 = 2*w - 5*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.1 (c) -3 (d) 0.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Solve -c*a + 1 + 5 = -z, z = 5*a - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3612 * -0.4\nAnswer: -1444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -515000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3170216\/5 (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 g when four letters picked without replacement from {u: 4, g: 6, d: 1, z: 1, y: 8}.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25465?\nAnswer: 5, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2610*u + 52 - 52 - 12395*u.\nAnswer: -15005*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 451230 and 4061070?\nAnswer: 4061070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.191868496.\nAnswer: -0.0575605488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 3. Let q(t) = t + 1. Let f(j) = -2*a(j) - 5*q(j). Let w be f(1). Let p = -4 + 1. Sort 0, w, p in descending order.\nAnswer: w, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912116907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25\/600 + (-35)\/6600*145\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798 - 844 - 825 + 2*c**3 + 2367.\nAnswer: 2*c**3 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/45)*t*t)\/(t**(-21)\/t) assuming t is positive.\nAnswer: t**(1081\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {v: 2, p: 4, n: 1, g: 1, z: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.7 - 26.7. Which is the third smallest value? (a) -3\/2 (b) g (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 37 - 36 + 240*b.\nAnswer: 240*b - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89.4 + -89.39982396. Round n to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/15*l**5 - 2\/105*l**7 + 0 + 0*l + 1\/12*l**4 - 100*l**2 + 1\/56*l**8 + 0*l**3 - 1\/15*l**6. Let k(o) = 0. Calculate o.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(4*(-3)\/(-36)). Let f = 15 + d. Solve -145*g**2 - 99*g**4 + 49*g**5 - f - 76*g**4 + 12*g - 1 + 28*g + 235*g**3 = 0 for g.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let t be 3*1*(6 + -8). Let v be (-1 - 33\/(-42))*8\/t. Sort 5, v, o in increasing order.\nAnswer: o, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4*q + 4. Let d be o(-4). Let h(z) = z**3 - 4*z**2 + 5*z + 4. Let x be h(4). Let j = 21 - x. Sort j, d, 2 in descending order.\nAnswer: d, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 + 5345*d**4 + 1026440*d**3 + 6943180*d**2 + 3890640*d - 11865600 = 0. Calculate d.\nAnswer: -160, -6, -2, 1, 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329325 is divided by 194081.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -3*u - 3*h, -2*u = -5*u - 2*h + 336. Let g = -16465\/147 + u. Let d = g - -101\/441. Are d and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 271 and 14.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from tczt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:34 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laklbkkrqkakkk. What is prob of picking 1 l, 2 a, and 1 r?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 4*j + 6. Let s(w) = w**2 + 3*w - 6. What is -3*p(n) - 4*s(n)?\nAnswer: -n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -92936 + -2?\nAnswer: -92938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*i - 4*u, 4*u + 45 = 4*i + 5. Let n = -46 - -41. Let m be ((-96)\/120)\/(1\/n). Solve -m*o = 1 + i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, z: 9, y: 3}. What is prob of sequence mm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 63, 89, 115, 141?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2. Let m(h) = 30*h**2 + 30*h**2 - 58*h**2. Calculate m(y(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12*t + 168. Calculate the smallest common multiple of 32 and t.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 2 o when four letters picked without replacement from uncrnoo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5073077?\nAnswer: -5073077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441*r**5 - 296*r - 2 wrt r.\nAnswer: 8820*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*p - 3*x, -125 = -4*p - 2*x - 99 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 330*g + 3632. Let u be w(-11). Solve -u*r = 3*r - 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvvuvvvuvvufvux. Give prob of sequence xvf.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g = 4*f + 70*g - 9, 2*f = -4*g + 8. Let r(u) = -u**3 - 4*u**2 - 3*u + 3. Let n be r(-3). Solve 5 = -3*c + f*o, n*o - 8 = 3*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5056\/10 - (-6)\/15. Suppose 5*x - d = 2*j, 314 = 3*x + 2*j + 2*j. Suppose -m = 2*m - x. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.5987 + 0.0413. Let f = 14.74 - u. What is f rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 2*b**2 + 9*b - 2. Let f(m) = -2*m**3 - 2*m**2 - 9*m + 2. Determine -4*f(i) - 5*p(i).\nAnswer: 3*i**3 - 2*i**2 - 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1649*i + 1640*i + 624285 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**3 - 14*l**3 + 10*l**3 - 26*l**3.\nAnswer: -57*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143873302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*v**4 + 20455*v**3 - 3991087*v**2 - 2.\nAnswer: -792*v + 122730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15180*a - 1 - 4 + 37 - 32 in the form y*a + b and give y.\nAnswer: -15180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152119.\nAnswer: 11, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/96 and -131\/840.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = -26*d + 13*d + 518. What is the greatest common divisor of d and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32600541 + 17778541. What is y rounded to the nearest 100000?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 13*w - 16. What is the smallest common multiple of n(9) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {x: 13, p: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-2)*183164\/(-85266).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -102197?\nAnswer: -39\/102197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 6280*u**3 + 12544*u**2 = 0. What is u?\nAnswer: -1568, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 2:51 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584959.\nAnswer: 23, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 49*r**2 - 118*r - 1118. What is d(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 6*j + 2. Let d be r(-4). Let x(b) = b**3 + 7*b**2 + 6*b + 1. What is x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13789 divided by 10\nAnswer: 13789\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 655348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1. Let f(l) = 2*l - 1. Suppose -3*u + 2 = -4*u. Calculate u*c(o) + f(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15955*-591.\nAnswer: -9429405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 - 4*t - 6. Let v be l(5). Let i be ((-4)\/8)\/(v\/8). Let w be i\/(-6)*(-6)\/2. Solve w*o + 6 = -4*j, 4*j + 2*o + 3 = -3*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 475.52 + -472. Let z = -6.52 + a. What is the closest to -1\/3 in -6, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21181238 a multiple of 1618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -5*q**6\/3 + q**5\/5 - 344*q**2 + 150. What is the second derivative of m(b) wrt b?\nAnswer: -200*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*k + 34 = 0, 4*y - 2*k + 1 = 3*k. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q - 3*q**2 + 11 - 12 + 17*q**2 + 18*q**2 to the form l*q + d + k*q**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*j**5 - 14703*j**4 + 139893*j**3 - 35679*j**2 - 139869*j + 50382 = 0. Calculate j.\nAnswer: -622, -1, 3\/8, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10635.\nAnswer: 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1730 and 8.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + c - 2. Let v be t(-4). Suppose 3*s - z = v, -2*s - 3*s - 3*z + 100 = 0. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 2. Let j be l(-1). Suppose 3*y - 5 - 10 = j, 5*d - 2*y - 65 = 0. What is the remainder when 58 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:56 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**3\/3 + l**2 + 4*l - 121. Let y(m) = 9*m**2 - 4*m - 7. Determine -11*p(g) - 6*y(g).\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - 3. Let j be 72\/48 + 7\/(-10). Which is the third smallest value? (a) j (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*r - l - 8, -2*r + l = -8. Suppose -2*y = g - 25, -g + 29 = y - r*g. Is 10 a factor of (0 + 2)*133\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - -212320122003?\nAnswer: 212320121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73295, 73294, 73293?\nAnswer: 73292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -119*g**2 - 11*g + 2. Let x(f) = -262*f**2 - 23*f + 5. Let b(p) = 11*l(p) - 5*x(p). Suppose -5*z = -z - 20. Determine b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56005594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 3*c. Suppose -h + 44 = -5*n, 3*n + 44 - 16 = h. Calculate the least common multiple of (-3438)\/(-63) + n\/14 and y(5).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 11*p**2 - 6*p + 39. Let n be k(-9). Let m = -251 + n. Solve -m*j - 1 = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) 12 (c) 426 (d) -35 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 71, 68?\n\"Answer: -3*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(2\/4). Suppose m = o - 5. Is (-2 + 177\/o)*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 42*v**2 + 28. Let l(j) = -14*j**2 - 10. Let p(o) = 8*l(o) + 3*z(o). Let y(n) be the first derivative of 2*n**3\/3 - 52. What is y(p(w))?\nAnswer: 392*w**4 + 224*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1942252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-4 + 10 + -12 - 0 - -16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2318135 (base 13) to base 15\nAnswer: e39182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226286 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -4681.995\nAnswer: 936.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -6. Let j = -4 - q. Let m = 0.3 - -0.7. Which is the nearest to j? (a) -1 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 646, -1, -5, -2.\nAnswer: -5, -2, -1, 0, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*g - 206 - 72, 0 = 3*g - 3. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 3*m**2 - 6*m + 5. Is r(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 33, 45, 57?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 16, 2*b - 2*i - 90801 - 37407 = 0. What is b rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9902, 9968, 10034, 10100?\nAnswer: 10166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 18 = -4*u, 386*y - 387*y = 2*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3151 = -328*c + 6033 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -356832100*j**2\/9 + 4495820*j\/3 - 14161.\nAnswer: -(18890*j - 357)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7372819 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d + 2*d**2)*(23 - 23 - 45*d**3).\nAnswer: -90*d**5 - 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 40283.\nAnswer: 40280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 969 - 968.591. What is q rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/136 and -9464.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 7*f + 11*f + 23*f.\nAnswer: 37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(-2\/31)*h**5\/h**(-3\/5) assuming h is positive.\nAnswer: h**(872\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 15*n**2 + 21*n + 65. Determine f(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 22 - 31. List the prime factors of (d + -5)*-3*1122\/4.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -830 (base 9) to base 4.\nAnswer: -22203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 32*x + 10. Let n be w(5). Suppose 0 = m + m - n. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 214, 180, 146, 112, 78?\n\"Answer: -34*k + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 5\/(-15)) + (-2 - -2). Let b = 0.3 - 0.1. Put -0.06, b, k in decreasing order.\nAnswer: k, b, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-6 + 9) - 87?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from nydivdnnddndiyndndin?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 4, t: 10}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111001 + -101?\nAnswer: 1111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8358, 18232, 28108, 37986, 47866, 57748?\nAnswer: 67632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.3. Let x(u) = u**3 - 9*u**2 + 10*u - 87. Let t be x(9). What is the closest to -2\/3 in -0.5, -1\/5, t, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z**(-4)\/z assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79193.07 litres to millilitres.\nAnswer: 79193070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 2, i: 1, s: 1}. What is prob of sequence wisw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4243306 and 126133.7?\nAnswer: 4369439.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 108.7713 centuries?\nAnswer: 10.87713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0.2, -2 in decreasing order.\nAnswer: 0.2, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + (-5)\/(-1) + -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199 + 204. Let a(f) = f - 7*f - 4 + n*f + 2*f**2 + 1. What is a(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:38 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1441*o**5 + 790*o**5 + 811*o**5 + ((-4 - 3 + 5)*(1 + 2 - 2) + 2 - 2 - 2)*((25*o + 3*o**3 - 25*o)*(-2*o**2 - o**2 + o**2) + 6*o**5 - 2*o**5 - 2*o**5).\nAnswer: 176*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x)*(695*x + 1470 - 372*x - 329*x).\nAnswer: 6*x**2 - 1470*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-75800)\/(-105) - 2\/(-21). Let b = -688 + s. Does 32 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 86*l - 537. What is h(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 36 = 148. Let v be (n - (-238)\/(-35))*5\/(-7). Let i = -20 - -33. Which is the closest to i? (a) 3 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5, y: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 (base 11) in base 16?\nAnswer: -17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.79? (a) 0.3 (b) 5 (c) 1\/4 (d) 1 (e) 2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 7. Suppose -s = 2*v + 7, v - s + 1 = s. Let p be (-1 - v)*15\/6. Suppose -2*j + 22 = 16. Let r(f) = 2*f + 4. Calculate j*t(y) + p*r(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 - 7*z - 1. Calculate h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5892.3 - 5892. Which is the closest to -2\/3? (a) -0.16 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -21\/541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*p**2\/3 + 73*p\/6 + 1.\nAnswer: -(p - 2)*(38*p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n**2 - 59*n**2 - 698*n**3 - 57*n**2 - 1.\nAnswer: -698*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 - 20368*j**3 + 142646*j**2 - 285332*j + 163056 = 0 for j.\nAnswer: -10191, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((2385\/(-6))\/(-5))\/((-363)\/(-11858))?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 - 3*u + 1. Let v(b) = 6209*b**3 + 4*b**2 + 841*b - 4. Let y(n) = -4*t(n) - v(n). What is the second derivative of y(c) wrt c?\nAnswer: -37230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgtaama. Give prob of sequence mam.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77152.92 - 77152.95099673. Let z = v - 0.05800341. Let g = 0.089 + z. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from navrccncvavvnn?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 - 8*b + 8. Let i(x) be the third derivative of x**5\/30 - x**4\/8 + x**3\/2 + 6*x**2. Determine -3*c(a) + 8*i(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - w**3 + 297 + 3*w**4 - 149 + 2*w**2 - 152 to m*w**4 + n*w**3 + u + q*w + s*w**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + 3*o)*(-o - 3*o + 2*o) + 5*o**2 - 6*o**2 + 0*o**2 + 0*o**2 + 0*o**2 + o**2 - o**2 + 13*o**2 - 2*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3\/(-18) - (-411)\/18. Suppose u + 57 = 4*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 5 (c) -4432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:36 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b - 50. Let u be x(-7). Sort 0.5, u, -3 in decreasing order.\nAnswer: 0.5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3 + 213150*f**2 - 2265452160*f - 132114237440 = 0?\nAnswer: -58, 21344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 9 = -61. What is the remainder when 69 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 397*x + 983. Is 88 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -0.4, -9, 3, -3849?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*m - 6 = 140*m + l, 2*m - 3*l = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19360979906 rounded to 4 dps?\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 833901, 833886, 833871, 833856, 833841?\nAnswer: 833826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*o - 2*o. Suppose -22 - 2 = -3*l. Let v = o - l. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*i**3 - 7\/2*i**2 + 7\/2*i**4 + 0 + i - 5\/2*i**5 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:14 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**3 - 8*a**2 - 8*a. Let l(t) be the second derivative of -t**5\/10 + t**4\/4 + t**3\/2 - 3*t. What is 3*j(y) + 8*l(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/5 + 104*s**4\/5 + 346*s**3 + 7884*s**2\/5 - 21384*s\/5 + 11664\/5.\nAnswer: 2*(s - 1)**2*(s + 18)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3658588 to the nearest integer?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.5, 0, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 17*d**2. Let m(y) = -y + 189171. Determine m(o(b)).\nAnswer: -17*b**2 + 189171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 994*q**2 - 72*q + 8. Let g(c) = -12*c + 1. Give -6*g(i) + j(i).\nAnswer: -3*i**3 - 994*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -32 + 12. Let c be 1 + w - (-2 - 4). Suppose -c*p + 92 = p. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**6\/40 + y**3\/6 + y**2 - 1. Let i(c) be the second derivative of l(c). Differentiate i(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (244\/1098)\/(18\/(-4941)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.53 and -88154818.75.\nAnswer: -88154819.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 9*o**2 - 10*o - 12. Let q be c(-8). Suppose 4*f + 9 = 21. What is the second derivative of g + 4*g - 2*g + 0*g + q*g**f wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088440.\nAnswer: 2, 5, 109, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/(-9))\/((-6)\/(-10)). Differentiate 5 + 9*r - 9*r + f*r**2 - 8 wrt r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -3.122\nAnswer: -1.2488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeq when three letters picked without replacement from qqqqqqqeeqqq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -1929 - 2781. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 2*d + 15. Let l be j(5). Suppose -g + 3*c = l, -3*c + 4*c = 3*g. Solve g*x = -5*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5152711 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 2*x - 424. Let u = -40 + x. Suppose -u*y + 2 = -12*y. Calculate the remainder when 17 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6251224*a**4*l - 2*a - 3343097*l wrt a.\nAnswer: -75014688*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -64057 (base 12) to base 8\nAnswer: -400503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13483, 13244, 13005, 12766?\n\"Answer: -239*d + 13722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 34 = -2*h + 2*l, -10 = -h - 2*l. Calculate the remainder when 30 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4\/9 (c) -3 (d) -2 (e) -245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.01 and 289216.\nAnswer: -581324.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -68, -5, -1, 17 in decreasing order.\nAnswer: 17, -1, -5, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 683292 + 1?\nAnswer: 683293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewecwwcewecw. What is prob of picking 1 w and 1 e?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.1223569 to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 3*j - 15. Let z(x) = 3*x**2 + 2*x - 10. Let k(p) = -5*g(p) + 7*z(p). Suppose 0 = -5*b + 2*b. Suppose b*i = 2*i. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - t + 2 - 6 + 3 to q*t + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - v**3 + 3*v**3)*(35 + 6 - 5 + (-6 - 2 + 3)*(-4 + 2 + 4)).\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3699*x = 8341*x - 3855*x + 53516 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17596 (b) 45 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + 1 + (-29111)\/731 + 31?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 6\/7, 2\/9 in descending order.\nAnswer: 6\/7, 2\/9, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.3 (c) -0.15 (d) 4.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1679?\nAnswer: 1\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56 + -44e26?\nAnswer: -44e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l**3 - l**2 + 3*l + 3. Calculate the lowest common multiple of j(-1) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 14 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z, -4*z - 196 = -0*x - 5*x. Suppose g - 6*g = x. Calculate the common denominator of ((-12)\/(-30))\/(g\/830) and 67\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -11)\/(2 + 3 - 4). Solve g*y + n + 1 = 0, -y = -12*n + 15*n - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/14 - (-7 - 459\/(-63)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*h - 5*h - 3*k, 4*k + 35 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1840231370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6373 + -6069. What is the least common multiple of 8 and l?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17647 (base 8) in base 2?\nAnswer: -1111110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -307, -456, -601, -742, -879?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1201020 and 35520?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 2\/3, 0.2, 4, 761.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 23 - (-27 + 15 + -5 + 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28252312 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -3b0?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1474567 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -249\/50?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 169\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 13.1. Let j = k - -12. Let d = 1.01 - 0.01. Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1530, -3054, -4576, -6096, -7614, -9130?\n\"Answer: d**2 - 1527*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - i + 3*i**2. Let c(b) = -8 + 0*b**2 + 3 - 5*b - b**2. Let a(j) = -j - 1. Let z(f) = 5*a(f) - c(f). Determine z(q(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 326.9.\nAnswer: 1634.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dazxgwx. Give prob of sequence awg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*m + 201, 4*k + 4*m + 613 = k. Let q be k\/23 + (-83)\/(-9). What is the closest to -0.56 in -3, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-70 + 70 + -2 + 3 + -95).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 114\/34519?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + 4\/28*-7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let w(j) = 2*j**2 - 4*j - 38. Let p(u) = 9*u**2 - 22*u - 190. Let o(y) = -2*p(y) + 11*w(y). Determine o(v(q)).\nAnswer: 16*q**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 + 5630169*i**2\/4 + 168896970*i + 5066828100.\nAnswer: 3*(i + 60)**2*(i + 1876603)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*r - f - 87*r**3 - 107 wrt r.\nAnswer: f - 261*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let q(r) be the second derivative of 0 - 3*r**2 - 4*r + 0*r**4 - 1\/20*r**5 + 4\/3*r**3. Give -q(n) + 6*w(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - 9*v + 2. Let n(j) = 2*j**2 - 9*j + 6. Let q be n(3). Let k be t(q). Solve -5*g + 14 = -k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:04 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 73 + ((-84 - -1) + 19 - -56)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/((-35)\/25) + 4707\/9. Calculate the highest common factor of 231 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 761449724, 761449723, 761449722?\n\"Answer: -i + 761449725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264401.45441 - -5475.\nAnswer: 269876.45441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 107999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14136.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/40 - 2*q**4\/3 + 17*q**3\/12 - 14*q + 6. Determine x, given that s(x) = 0.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t - 2*t**3 + 17*t - 2*t**2 - 4*t**2 + 3*t**2 to g*t + q + o*t**2 + f*t**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38522?\nAnswer: 2, 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 11, g: 2}. Give prob of sequence zttg.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072627 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2392848 and -59\/13752?\nAnswer: 2392848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76289351251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, -10, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y + 4. Let h(w) = -4*w**2 - 93*w + 2421. Let c(m) = 5*b(m) - h(m). Let c(s) = 0. What is s?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + g**2 - 3 - 3*g - g + 5*g to s*g**2 + l + n*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -12. Let r = b - 6. Find the second derivative of -y + 3*y + 7*y**3 + 2*y**r wrt y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 7. Let d(q) = 8*q - 20. Let f(m) = 8*m - 20. Let b(j) = 3*d(j) - 4*f(j). Calculate -6*b(u) - 17*p(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 6*j - 14*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose -s + z = j, -2*s + 2*z + 24 = 6*z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -233. Let p be 3 - h\/14 - (-8)\/28. Solve -4*g = -p - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:51 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 242, 6.\nAnswer: 0, 6, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/1*(-246400)\/2. Suppose u = 3*v - 2*v. Let q = v + -842800. Round q to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/59375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 74*x**5\/5 - 779*x + 1718. Differentiate c(k) with respect to k.\nAnswer: 296*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.014 + 0.014. Let a = -3555 - -3585.13. Let i = j + a. What is i rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -4 (b) -2\/105 (c) 1026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s + 25*s**3 - 3 - 1 - 6*s**2 - 24*s**3. Let h be z(6). Suppose -5*i + w + 45 = -0*i, 0 = -4*w + h. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 2\/46425?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 25*l + 8. Suppose -j - u + 21 = 0, -53 = -4*j + 5*u + 49. Calculate the remainder when n(3) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/296 and -29\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.063 - -59.937. Let g = n - 60.1. Let y be (-57)\/(-95) - 4\/(-10). What is the biggest value in 2, y, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*w - 14, -5*g = w - 6*w + 10. Let i(q) = q**2 + 2*q - 5. What is the units digit of i(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 6) to base 7\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 4 - 4 = 0. Suppose -13*h + c*h = 0. Suppose 2*o + h - 30 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akooaaknnamoaakacakk. What is prob of picking 1 k and 1 m?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54625536600 and 0.01?\nAnswer: 54625536600.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144822 is divided by 421.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a - 11. Let q(w) = -w + 1. Let b(o) = 6*q(o) + v(o). Let j be b(-16). Suppose 0*f + 3*f - j = 0. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**3 - 58*x**3 - x - 93*x**3 + 0*x to t + n*x**2 + k*x**3 + d*x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j + 30 = 0. Let f be j\/(-2) + 2 + -1 + 0. Suppose -f*i = 4*p - 204, 177 = 3*p + p - 5*i. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.02919 times 0.19\nAnswer: -0.1955461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c - 14 = -v, -40 = -4*v + 4*c. Let y(l) = -5*l - 6. Let z(d) = 11*d + 13. Determine v*z(a) + 13*y(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(i - i + 3*i)*(i + i + 0*i)*(2 - 2 + 7) to x*i**2 + h + m*i and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30755973 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337506?\nAnswer: 2, 73, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 6)*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(11)*1)**2 - sqrt(11) - sqrt(11))*2.\nAnswer: -4*sqrt(11) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.98168594 - 0.01829006. Let d = k + 47. Round d to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 7*c - 5. Let b(p) = p**2 + 7*p + 5. Let r(j) = -4*b(j) - 3*k(j). Let y = 153 - 158. Calculate r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 7. Let w be v(-7). What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430 and 860.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (-16)\/(-10). Which is the nearest to 4? (a) -2 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d - 1. Let j be i(0). What is the closest to j in -0.2, 0, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301 - 69. Let u = 365 + p. Let k = 9 - 4. What is the second smallest value in k, u, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 172, -7.6, 0, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -5. Let j be (-18020)\/1224 + 2\/(-18) + 0. Let y = j + 31\/2. What is the nearest to c in y, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -505, 883, 2273, 3665, 5059, 6455, 7853?\n\"Answer: y**2 + 1385*y - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 5. Let r(u) = 3*u - 3. Let y be ((-20)\/4)\/(1\/(-1)). What is the remainder when z(-3) is divided by r(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19*z + 4. Let n be j(8). Suppose 5*c - n = c. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 115986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 4. Let y(v) = -9*v + 0 + 3*v - 5. List the prime factors of y(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580475 and 1240?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**3 + x**3 + 5*x**3)*(-10 - 5 + 8)*(x + 2*x + 0*x) + 4*x + 2*x**2 - 3*x + x + x**4 to the form q*x**4 + v*x + d + i*x**2 + k*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18883043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.046085 * 1.\nAnswer: 72.046085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (-4*sqrt(170) - sqrt(170))*-3)\/sqrt(10).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14329913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 7*h + 7. Suppose 0*f - 5*f = -15. Suppose -15 = -3*a - 5*u, 0*a + 15 = 3*a + f*u. Calculate the remainder when 64 is divided by v(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6153729, -12307445, -18461159, -24614871, -30768581, -36922289?\n\"Answer: u**2 - 6153719*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/9, -1264, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10031864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 20*g**2 + 19*g + 5. What is o(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -373 + 403. What is the highest common factor of 165 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvssvsxzzsskzz. What is prob of picking 2 v, 1 x, and 1 k?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474074 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 294*y**4 + 1156*y**3 + 1724*y**2 + 1146*y + 286 = 0.\nAnswer: -143, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -6522?\nAnswer: -6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - 3) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3760 and 1018.\nAnswer: 1913840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 30. Let h = 78 + -96. Let m = g - h. What is the least common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20455443 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 7*j + 4. Let d be m(-11). Let t = d - -39. What is the third biggest value in 2\/3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 3021 + 5*t + 7*t - 2403.\nAnswer: 8*t - 5424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/6)\/((-4)\/6). Suppose 3*r - q - 1 = 0. Let y = -1473 + 1481. Solve 5*d - r = y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 9*m**2 - 23*m + 8. Give z(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*l - 87, -18 - 32 = k - 4*l. Let a = k + 54. Solve -2*n + 3 = -z - n, 2*z - 4*n = -a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.8, 2974.1, -5?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/6 + 2 + 316\/(-6). Let p = y + 97. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-2 - 15\/(-8)). Let h = w + -413\/4. Are h and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/2 + 3604*f**2 + 279509*f\/2 - 293929 = 0.\nAnswer: -7169, -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + -1)**2*-3.\nAnswer: -30*sqrt(17) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:18 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21630, 43186, 64710, 86202, 107662, 129090?\nAnswer: 150486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 3\/5, -5, -17, 0.16, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44243279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Suppose 2*x + 12 = -10*x. Let o(g) = 27*g**2 + 6. Let y(l) = x*o(l) + 4*w(l). Differentiate y(i) wrt i.\nAnswer: -46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29920 times 2\nAnswer: 59840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7142 - 7151. Let o(g) = 11*g**2 - 7*g + 7. Let d(z) be the first derivative of -5*z**3\/3 + 3*z**2\/2 - 3*z + 2. What is l*d(j) - 4*o(j)?\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-8)*(-4)\/6. Let h = 1.8 + -1.6. What is the second biggest value in -3, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-488*w + 103 - 69 - 19 - 6)*(-2 - 2*w + 2) to the form u + b*w**2 + v*w and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 257.117 + -257. Let k = y - 4.117. Which is the fourth biggest value? (a) 19 (b) 4 (c) k (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 22*c**2 + 16*c - 27. What is the units digit of y(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = v - 6*v. Suppose -4*s = v*k + s + 185, 2*s = -8. Let q(u) = 11*u - 6. Let l(m) = -100*m + 55. Determine k*q(p) - 6*l(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/699924 and 125\/1049886?\nAnswer: 2099772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or -69?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10753 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpvgpg. What is prob of sequence vg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -29. Let l = -5 - q. Is l < 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -1)\/(-6 - (-98)\/14) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/46 (b) -3\/2 (c) 1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. What is the units digit of (-18)\/x*10\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -5. Let g = x - -14. Suppose -8 - g = -2*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*l**6 + l**2 + 0*l**2 - 12*l**6 wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 2, m: 4, i: 1}. What is prob of picking 3 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248.1 - -445.\nAnswer: 693.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/5 (c) -2 (d) 127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 - -3d?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28480272241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)*1*2)\/(sqrt(12)\/(-2*sqrt(98) + sqrt(98) - sqrt(98))).\nAnswer: 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 - 1. Let q be x(1). Let o be (-5)\/10*-20*(-2)\/4. Let u = -19 + 17. Put u, -3, q, o in ascending order.\nAnswer: o, -3, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/350 + o**6\/100 - o**2. Factor a(d).\nAnswer: -3*d**3*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6*c - 16. What is the third derivative of 46*g**5 - 2*g**c + g**2 - 33*g**5 wrt g?\nAnswer: 780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:57 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w\/w**(-2\/7))\/w)*w*w*w)*w**0\/w)**(-8\/9)*(w\/(w\/((w**9\/w)\/w))*w*w*(w**(-4)*w)\/w)**(-13) assuming w is positive.\nAnswer: w**(-3943\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -7*d**5\/25 + d**4\/4 + 2*d**3\/15 + 38. Factor n(v).\nAnswer: -v**2*(v - 1)*(7*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4977 - 1.91445132321.\nAnswer: -4978.91445132321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 3. Let c(t) = 6*t + 3. Let r(v) = -6*c(v) + 7*q(v). Let n(b) = -2*b + 10. Calculate -3*n(d) + 10*r(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167628 + 2.\nAnswer: 167630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/30)\/((-74)\/(-2627)). Which is greater: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233416 divided by 7?\nAnswer: 2233416\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 357045083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*y + 5*k + 56 = 8*y + 1, 0 = 2*k + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 24*f - 12 = 0. Solve -f*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e40d (base 15) to base 10\nAnswer: -98788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from yyxzxty?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 0. Suppose -6*h - 70 + 412 = q. Let d = -2 + h. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3. Let h = -10 + 16. Let r(o) = -o**2 + 1. Let l(y) = h*r(y) - 3*f(y). Differentiate l(z) with respect to z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1976 + -2846. Suppose -8*v = -16194 + 4514. Let c = y + v. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 10 = 0. Suppose 0*v = -c*v + 10. Let r(f) = -2*f**v + f**2 + 0*f**2. Let y(j) = 2*j. Calculate y(r(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4420 - -4288. What is the smallest value in u, 22, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185687494.\nAnswer: 2, 19, 4886513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 + -159. Sort -5, q, 9, 5 in decreasing order.\nAnswer: 9, 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 24 = 5*s, 0 = 7*q - 2*q - 4*s + 21. What is the nearest to q in 0.2, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06023 and 0.0264102.\nAnswer: -0.0338198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1354756.1 to the nearest ten thousand.\nAnswer: 1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 269*g**2 - 10*g + 9. Let b = 40 - 33. Let d be c(b). Round d to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -70. Let s be 8*h*15\/(-80). Solve s*c - 1 - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163081171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-5 - 12\/(-3)). Let q be (-20)\/(-30)*(-9)\/f. Solve 0 = -u + 2 - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 2*d**3 - d**3 + (-2*d**3 - 44*d + 44*d)*(-2 + 5 - 4)*(3 + 0 - 2) to s*d**2 + f*d**3 + o*d + m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -2213?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h + 1. Let u(t) = 3*t**3 - 3*t**2 - 6*t + 6. Let n(q) = 178*q - 350. Let w be n(2). Give w*o(d) - u(d).\nAnswer: 3*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4351087*v + 0 - 3 - 4351090*v + 5 - 2.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11379531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-4)\/(-38) - 2565\/361). Let p(m) = m + 8. Let n be p(-10). What is the nearest to c in n, -2\/3, 5\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69250605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (91\/26)\/(((-16450)\/8)\/(-25))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t - 1 - 1 + 0 + 4. Let x(u) be the third derivative of -7*u**4\/24 + u**3\/6 - u**2. Calculate -5*a(v) + 8*x(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*z - 48*z + 80*z.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) - (sqrt(209) + 5*((sqrt(209) - (2*sqrt(209) + sqrt(209))) + sqrt(209))))) + sqrt(209)*2*-3)\/(-5*sqrt(176)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/20 - 3*s**5\/20 + s**4\/4 + 60670*s**2. Let l(i) = -2*i**3 + 3*i**2 - 2*i. Let k be 1\/(-3)*(-99)\/3. Give k*l(t) + 4*g(t).\nAnswer: 2*t**3 - 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -22*h**6\/5 + h**5\/10 - 5*h**4\/6 + 7*h**3\/2 - 84*h + 1. What is the third derivative of i(s) wrt s?\nAnswer: -3168*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*k = -22 + 16, -4*k = -4*r - 12. What is the biggest value in -9.3, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 981*12587\nAnswer: 12347847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711823 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 10, 0 in descending order.\nAnswer: 10, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*u + 1547 = -4443 - 4997 - 1493 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4*c + 4. Let w be 18\/4 + 27\/(-18). Suppose 9 = -w*m - 6. Let i be 3 - (3 + 1) - m. Give o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 - 0?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9283 - 0.0717. Which is the closest to 0? (a) r (b) -3 (c) -0.5 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5177687 divided by 13?\nAnswer: -5177687\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(847)) + 0 + 0 + 2*sqrt(847) + 1)*1*-3)**2.\nAnswer: -792*sqrt(7) + 121977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*u = 80, -21 = -3*d + 2*u + 42. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:08 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7766, -7776, -7780, -7772, -7746?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 14495*j**3 - 14500*j**2.\nAnswer: 5*j**2*(j - 2900)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1300)*1 - (sqrt(39)\/sqrt(12) + 1*sqrt(117)))**2.\nAnswer: 36517\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {d: 3, m: 1, t: 7, y: 2, g: 6}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1100 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 81. Let d(l) = 14*l - 6. Let q be 9\/18 + (1 - 1\/(-2)). What is the least common multiple of z and d(q)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, -3, 8580, -7 in decreasing order.\nAnswer: 8580, 5, 3, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4 + 326*g**3 - 3405*g**2 - 18900*g = 0.\nAnswer: -4, 0, 15, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {p: 6, w: 2, v: 2, u: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 674 + -660. Suppose 53 = 5*o - 2*q, 5*q + 9 - w = 0. Calculate the remainder when o is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d + 3*d**3 - 30*d + 2*d**2 - 60*d + 4*d**2 - 288.\nAnswer: 3*(d - 6)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 9*f - 10. Let t = -107\/80 + 7\/5. What is the common denominator of f\/(-30)*(-7)\/2 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/10)\/((-3)\/15). Let z = 630 + -1076. Let n = z - -446. Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -33. Let m be (0 + p)*(1 - 2). List the prime factors of ((-18)\/m)\/((-5)\/75).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**3 + 0*l**2)*(-16 + 77 + 34).\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 3, -6, 5.\nAnswer: -6, 2, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/26318?\nAnswer: -7\/26318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**2 - 28*n + 55. Let h(m) = -7*m**2 - 19*m + 36. Let y be -12*(-5)\/(-15) - (-11 + -1). Let f(r) = y*h(r) - 5*b(r). Solve f(g) = 0 for g.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 9 = 0. Suppose -u*t = t. Does 3 divide (-2)\/(t - 2\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 288 = 168. Let j(o) = -3*o**3 - 31*o**2 + 19*o - 61. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from addkmwdwamkdkum.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 9. Solve -y = -0*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-24) - 42\/(-8). Suppose g = -q*v - 3*g - 255, g = 0. Let o = v - -208. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 1\/3*y**2 + 44 - 1\/18*y**4 + 0*y**3 + 4\/9*y. Factor v(r).\nAnswer: -2*(r - 2)*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 71*x + 68*x = 13427, 2*d + 4*x = 13448. List the prime factors of d.\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:24 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - 2) + 2 - 1) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e8ba (base 15) to base 6.\nAnswer: 3120351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 585 or 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 295009, 295285, 295729, 296347, 297145, 298129, 299305, 300679?\n\"Answer: g**3 + 78*g**2 + 35*g + 294895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*b - 1855*b**2 - 4165*b**2 + 79*b + 310*b**2 in the form h + t*b + s*b**2 and give s.\nAnswer: -5710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36061\/9 - 4007. Suppose 0 = l + 1 + 2. What is the smallest value in 0, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518307183 minus -0.5?\nAnswer: -518307182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444571*w + 78662*w - 10169*w.\nAnswer: -376078*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/((-6)\/162). Let b be 38\/r + 14\/(-63). Let j(n) be the second derivative of -n**5\/20 + 5*n**4\/12 - n**3\/2 + 3*n**2 + n. Determine j(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 3*x**2)*(-46*x**2 - 3141 + 3139 - 13*x**2 + 25*x).\nAnswer: 118*x**4 - 50*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1153593 smaller than -1153626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 - 1\/120*z**6 + 2*z**2 - 1\/2*z**3 + 1\/15*z**5 + 0*z + 1\/12*z**4. Let h = 67 + -64. Determine x(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -28*((-14)\/8 - (-39)\/(-52)). Let p = z - 58. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66337 and -3.\nAnswer: -199011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 323580733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2041, -3975, -5909, -7843, -9777?\nAnswer: -11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b + 119. Suppose y = 2*i + 4, i + 12 = 2*y + y. Suppose 5*x + i + 0 = 0. What is the tens digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -3 + (-5 + -16 - -10) + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(6)\/(sqrt(12)\/sqrt(150))*4.\nAnswer: 3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vvvlyggllvpypglp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 16. Let b be g(14). Let k be (3\/(-1))\/(b - 3). Suppose v = -k*v + 228. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36679?\nAnswer: 43, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792278 and 17088.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -392*f**3 + 434*f**3 + 666*f**3 + (3*f - 7*f**2 + 6*f**2 - f**2)*(-2*f + 0*f + 4*f).\nAnswer: 704*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -627\/260 - -32\/13. Which is smaller: 18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35617 and -0.0148.\nAnswer: -527.1316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 47 = -4*u - 4*b, -2*u + b - 25 = 0. Let o = u + 15. Suppose 4*m = -o + 9. Solve -5*c + 24 = -f + 4*f, m*f = 2*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.1. Let l = -119 - -117. What is the third smallest value in f, -0.1, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327816.9478 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 56*w**2 - 353*w - 199. What is the hundreds digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 10) to base 3\nAnswer: -20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 87.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0330642 and -0.11.\nAnswer: -0.003637062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e5e1 + -6?\nAnswer: -1e5e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, a: 3}. What is prob of picking 1 a and 2 p?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*s + 21 + 147, 4*y + 2*s - 168 = 0. Let a = 72 - y. Let l be -4 + 132\/a - 74999998\/(-5). Round l to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 24*v**2 + v - 1. Let x be n(-2). Let p be -2 + (-2157)\/24 - 1. Let d = p + x. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153510 is divided by 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w - 2*w)*(48*w - 14*w + 41*w).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -756778, -756775, -756762, -756733, -756682, -756603, -756490?\n\"Answer: r**3 - r**2 - r - 756777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9*t**2 + 615*t**3 + 4*t + 18*t**2 - 587*t**3 - 9*t**2.\nAnswer: 28*t**3 + 4*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011211110 - 21021?\nAnswer: 22011120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 - 32 = 7*f, f - 155285*m + 155282*m = 127 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r*r*(r**(-22\/9)*r)\/r*r)\/r)*r)**41*r\/(r\/(r\/r**(2\/41)))*r**(-1\/27) assuming r is positive.\nAnswer: r**(157345\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/5)\/((-36)\/90). Let c be (2225\/(-3))\/(f\/(-24)). Round c to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*b - 891 = -106*b. Solve 5*f - 86 = -b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30245001?\nAnswer: 3, 653, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344 - -3032?\nAnswer: 3376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 2:42 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 85 = 4*g. Suppose -4*u - 2*x + 10 = 0, 0 = -2*u - x - 4*x + g. Solve 0 = -5*r + 5*i, i = 2*r - 5 + u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 5)*(-1)\/26. Let q = 184757 + -184754. Let n be 2\/4 - 3\/12. Which is the fourth biggest value? (a) n (b) i (c) -5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39807979?\nAnswer: 113, 151, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -35 + 46 + (1 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 73*l**3 - 6*l + 116*l**3 + 57*l**3 - 91*l**3 + 72*l**3 wrt l.\nAnswer: 1362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29b804 (base 13) to base 12\nAnswer: 41531a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzy when three letters picked without replacement from yyztyytdy.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 - 296*h**2\/5 + 220*h + 280.\nAnswer: 4*(h - 70)*(h - 5)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000725 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -33.971. Let u = g - 0.135. Let b = -0.106043 - u. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*m + 1, -m - 5*l + 15 = 4*m. Solve -8*a**5 - 16*a**4 + 4*a**m - 6*a**2 - 5*a**3 - 5*a**3 = 0 for a.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -647 - -644. What is the closest to -0.2 in 9, -2.2, u?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwhuwauuha. Give prob of sequence hhau.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34822.\nAnswer: 2, 23, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -494368 to the nearest one thousand.\nAnswer: -494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.8896353 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 42*u + 37*u + 262527 = 0, 5*i - 4*u = 437545. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 2*g + 3*g)*(-2*g - 2*g + 3*g) + 0*g + 0*g - g**2)*(-119*g - 986 + 981 - 200*g + 51*g).\nAnswer: 536*g**3 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 5*a + 5*a - 2*a)*(-22 - 19 + 53)*(-1 - 2 + 5) to the form q*a + c and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -63. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2180 + -2125.78. Let s = -55 + p. Let l = s + -1.22. Which is the nearest to l? (a) 3 (b) -5\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/4733 - 1150103\/18932. Let s = 61 + f. Factor -1\/4*a**2 + s*a - 1\/4*a**3 + 1\/4.\nAnswer: -(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvddddvdvd. What is prob of sequence vd?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/4)*f*f**14 assuming f is positive.\nAnswer: f**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814645 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -69*k**3 - 3*k**2 + 6*k - 4. Let d be q(2). Let t = d + 21685\/39. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 - 4*i + 2. What is the units digit of d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2 + 6, 3*x = -5*l + 1143. Let i = -700\/3 + l. Let b = -791 - -2360\/3. What is the common denominator of b and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -69*n + 423. What is the remainder when a(4) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11550*r*w**2 + 2*r*w - 18*r - 58*w**2*y - 4342*y - 10 wrt w?\nAnswer: -23100*r - 116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*12 + (-43180)\/1905*1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185d9 (base 16) to base 10.\nAnswer: 99801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 20 = -4*o. Let x(z) be the first derivative of 2\/3*z**3 + 3\/4*z**4 + 0*z**2 - 5*z + 5. Let w(d) = 4*d**3 + 2*d**2 - 6. What is o*x(l) + 4*w(l)?\nAnswer: l**3 - 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3502\/99 or -1\/3?\nAnswer: -3502\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-2)\/(128\/312))\/(9\/6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 2*m**2 + 87*m + 89. Let p be g(-1). Solve 30\/11*o**3 - 16\/11*o + 2*o**p - 8\/11 = 0 for o.\nAnswer: -1, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 90, 196, 344?\n\"Answer: 21*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 3*n**2 + n. Let j be 0\/(42\/(-98) - (-62)\/14). Suppose 2*k - 2*a + 14 = j, 4*a + 4 = 5*a. Calculate s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/3 + 8*s - 56\/3 = 0. Calculate s.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/943690 and -149\/363509388?\nAnswer: 1817546940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -2285, -3799, -5569, -7601, -9901?\nAnswer: -12475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 4. Let n(d) = -d**2 + 8*d + 1. Let c be n(7). What are the prime factors of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8668 - -9.8668. Let n = 3\/14 - 43\/70. Let w = 1.3 - 6.3. Sort w, s, 2, n in increasing order.\nAnswer: w, n, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - d6?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3945352, 5 in decreasing order.\nAnswer: 3945352, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 = -5*g, -114 - 58 = 5*g + 15*l + 25 - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 762362.3 tonnes?\nAnswer: 762362300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.579, 0.1, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = 6*k - 114. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 33. Let q = -1.3 + -2.7. Sort q, z, -3.\nAnswer: q, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 0.08. Let v = -0.03 - n. What is the biggest value in v, -5\/4, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 - 37*s - 44381. What is r(110)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/16)\/((-3)\/12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7852782 days in seconds?\nAnswer: 67848.03648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 2, -79\/17, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 758 + -693.3. Let g = -65 + c. What is the closest to g in 2, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6703669, 13407333, 20110997, 26814661, 33518325?\n\"Answer: 6703664*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75320335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/w)**30*(w\/(w\/((w*w**(2\/25))\/w*w)))\/(w*((w**(-6\/5)\/w*w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-1011\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -5. Suppose f*s - 1083 = -243. Suppose -5*a = -a + z - 152, -4*a = -3*z - s. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56624 or -56771?\nAnswer: -56771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226824 = -42*g + 105018. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 18382*m + 1176624. Calculate s(-64).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/47? (a) -1 (b) -5 (c) 923 (d) 4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2 + 64426977*t + 193280904 = 0.\nAnswer: -21475656, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15341?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 1\/210*w**5 + 4*w**2 + 0 + 1\/84*w**4 + 0*w + 0*w**3. Factor x(i).\nAnswer: 2*i*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 0.03086?\nAnswer: 12.03086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - 1.8. Let v = -5 - 0. What is the closest to -0.1 in n, 3\/2, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:21 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/72)\/((134\/(-536))\/((-4)\/(-22)))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 4*a + 5*a + (a - 4*a + 2*a)*(2 - 6 + 3) + 6*a + 5*a - 4*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 13 + -9 - 5) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 60*q - 90. Calculate the lowest common multiple of h(2) and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t - 315. Let u(o) = 89*o + 1576. What is -11*p(n) - 2*u(n)?\nAnswer: -2*n + 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 23. Let j be 1\/(-7)*-2 + 600\/56. What is u(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8806 minus 1.15581?\nAnswer: 8804.84419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 4. Let u be c(3). Let k(h) = 3*h + u - 4*h**2 - 2*h + 0 + h**3. Let o be k(3). Put -2, -3, o in increasing order.\nAnswer: o, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1669*y = 843 + 25861 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 + c**3\/6 + 6*c + 2. Let z(y) = 5*y**2 + 10*y. What is -10*b(n) + z(n)?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 2383240 (c) -1 (d) -2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8062 divided by -139.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109, -455, -1025, -1813, -2813?\n\"Answer: s**3 - 118*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 198. Suppose 3859 = b*y - 7130. What are the prime factors of y?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-5)\/(0 + -1). Let g(f) = -2*f**2 + 20*f - 12. Let n be g(9). Let b be (160\/n)\/(84\/(-18) + 5). Calculate the highest common divisor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 3. Let q(u) = 10*u + 7. Let p(h) = -7*c(h) - 4*q(h). What is the units digit of p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**2 - 17*u + 18. Give h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780472485?\nAnswer: 5, 19, 50320763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 116057 (base 9) to base 13\nAnswer: 25b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 7 (b) 3\/5 (c) -7\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(-5 + sqrt(20)\/sqrt(250)))**2.\nAnswer: -2*sqrt(2) + 702\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -176*o + 8802. Calculate u(50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59897 is divided by 791?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 6*n**3 - 6*n - 4. Differentiate j(l) with respect to l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + (31 - (-62 - -78))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 19\/6, -3, 2\/7, -833, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 669993413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 9\/11, 81, 0.04.\nAnswer: -0.2, 0.04, 9\/11, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2081 = -2*x + 4*g, 4*x - 3*g - 1664 = 0. Suppose -29 - 94 = -q + 3*d, 2*d - x = -3*q. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/11)*p*p*p*p\/(p*p*p\/(p**(-2\/27)\/p)*p)*p*p)\/((p\/p**(-1\/2))\/p)**(-11))**(11\/5))**(7\/2) assuming p is positive.\nAnswer: p**(5495\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (9 + 10 + -18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16130 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 139*y - 9. Suppose -8 = -4*t + 4*c, 2*c = 5*t + 6*c - 46. Let p be a(t). Let j = p - 434. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188220876 divided by 4?\nAnswer: 47055219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 9*u**2 - 1. Let g be q(-9). What is the remainder when (g + 0)\/((-2)\/124) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - m - 18*m - 1254 = 0 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)*1)\/sqrt(3).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u = w - 38*u - 45, -5*u = -w + 111 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28529944 - 0.2852. What is h rounded to 6 dps?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/(((w\/w**8)\/w)\/w*w)))\/w))\/w**(2\/21))\/((w\/w**(2\/9))\/w*w*w**3) assuming w is positive.\nAnswer: w**(386\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/120 - q**4\/24 - q**3\/3 + q. Let p(k) be the second derivative of y(k). Let z be p(-4). Solve z - 1 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 20, -2*i - 4*v = -7*i + 90. Let r(z) = -z**3 + 15*z**2 - 10*z - 26. What are the prime factors of r(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -95289.\nAnswer: -1\/31763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25 and -21196133.\nAnswer: -21196158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 409.4 and -15.\nAnswer: 394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + p + 1. Let z be o(1). Find the third derivative of 2*w**2 - 5*w + 0*w**2 + 5*w - 5*w**z wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2. Let g(l) be the first derivative of 0*l - 1\/2*l**2 + 8. Give p(g(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 8 = -4*j - 0, 0 = 4*t + 3*j - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14148a45 + -3?\nAnswer: 14148a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/60 and 77\/492.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -32. Suppose r = 2*r - z. Does 17 divide 174\/r - 6\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 72 - 83 + 20*p + 222 - 33.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14130*o**5 + 16218*o**4 - 16218*o**4 + 3*o**5 - 2*o**5 - 2*o**5 + (1 + o**2 - 1)*(2*o**3 - 4*o**3 + 0*o**3) + 5*o**5 - 3*o**5 - o**5.\nAnswer: 14128*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169754 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 23*r**3 + 2*r**2 - 3*r + 3. Let l be a(2). Suppose 4*s = -69 + l. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*x - 214*x - 528*x + 240*x + 245*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*x - 10. Let f be (-4)\/22 - (-96)\/x. Solve -f*d + 0 = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 12 - 1288*d**3 - 5 + 1302*d**3 + d.\nAnswer: 14*d**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 1. Let p be k(1). Let b = 27\/5 - 253\/45. Is p at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 5379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 5351332?\nAnswer: -5351405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 + -9131701?\nAnswer: -9129715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 210 and 5.5162.\nAnswer: 215.5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmee. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d + 1420. What is f(88)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/22 and 41\/1010946.\nAnswer: 11120406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*t = 2*c - 0*c, c + 17*t - 15*t - 4 = c - 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7445\/190866 - -4\/7341. Let n(x) = -x**2 - 5*x - 4. Let i be n(-4). Is s greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.482989 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.079 + 0.121. Which is the closest to z? (a) 2 (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.618.\nAnswer: -0.03708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-5)*5\/2. Suppose -2*c = -c - a. Let n(h) be the second derivative of -h**3\/6 + 6*h**2 + h. Give n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275571407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 8*u**2 + 15*u + 10. Calculate l(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g + 888. Let v be o(0). Suppose -5*n + v + 1177 = 0. Suppose 5*h - n = -53. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/((l*l*l**(-1\/3))\/l*l)*l*l)**(-1))**(-1\/7))**(-24) assuming l is positive.\nAnswer: l**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 - 1947*o**2 - 3906*o = 0?\nAnswer: -2, 0, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1355088\/(-616) - (-6)\/(-33). Sort 4, 1\/4, l in increasing order.\nAnswer: l, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)*(p*p*(p*(p**(-2\/11)\/p)\/p*p)\/p*p)\/p)\/(p*p**1)**29)**(4\/13) assuming p is positive.\nAnswer: p**(-17700\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -10241?\nAnswer: 10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 13, -7, -5, 2.\nAnswer: -7, -5, 0, 2, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 1c?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 21*n**3 - 4*n**2 - 14*n + 30. Let l be f(2). Calculate the greatest common factor of 176 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 175. Let h be z(0). Suppose -y + 31 = p - 13, 5*p - 4*y - h = 0. Let d = -27 + p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -142 + (-19)\/(35340\/(-264182))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48*-0.33\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4720\/133 + 265\/7. Let t = -2096525\/3 - -26555231\/38. Let a = b - t. Find the common denominator of 69\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 4*h - 32, -6*x = 4*h - 195 + 245 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5033 + 21620?\nAnswer: 14565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(475) - (-3 + (sqrt(171) - sqrt(19))).\nAnswer: 8 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24861 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s - 65. Calculate the remainder when 31 is divided by w(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4704\/13720)\/(4\/(-70)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11030322 + -11?\nAnswer: 11030311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1431, -2835, -4189, -5469, -6651?\n\"Answer: 4*m**3 + m**2 - 1435*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 10, -2*x = 2*t - 5*t - 10. Suppose -2*u + x*a - 8 = a, 4*a = 16. What is the remainder when (1*-2)\/(u\/33) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from zaczqsqb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57409204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 484?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2190554 to 3 decimal places.\nAnswer: 0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 576064 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780132, -1560266, -2340400, -3120534, -3900668?\nAnswer: -4680802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkdjtdtzt. Give prob of picking 1 d and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 18. Let y be m(8). Put y, -5, -4 in decreasing order.\nAnswer: -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-168)\/(-1680))\/((-4)\/190)*-268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let u(y) = -66224*y**2 - 23*y. What is u(p(k))?\nAnswer: -264896*k**4 - 46*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + 8 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/4 (b) 0.4 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j - 20 = 0, -5*w + 2*j = -w + 40. Let q = w + 13. Suppose 0 = -2*i + q*i - 135. Calculate the highest common divisor of i and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748669950 - -0.3?\nAnswer: 3748669950.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 314369999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z - 444*z = 693*z - 10168 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 139 = 153 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -337316 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 121*b**2 + 402*b - 1621. What is c(4)?\nAnswer: 1923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z. Let h be (-4 - 32\/(-7))*7. Factor z*u + 0 + 3\/2*u**4 + h*u**3 + 2*u**2.\nAnswer: u**2*(u + 2)*(3*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/18 and -50\/111.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-14 + (-9 - -14))) + -27\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let i(t) = 6*t + 18. Let n(p) = -5*h(p) + i(p). Let a be n(-7). Is 5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-29))**46 assuming n is positive.\nAnswer: n**(-1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21319693453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 16*s + 6. Let l be w(13). Suppose 12*v - 75 = l. Let u(b) = -b**2 - 7*b. What is the lowest common multiple of u(-3) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -34.2. Let g = -6.80000167 + y. Round g to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = -a. Suppose 2*p - 5*i - a = 0, 5*i - 5 + 15 = 0. Solve -4 = -2*v - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*z + 5*t, -4*z + 6 + 10 = 4*t. Let a = 279704 + -279700. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82073 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/3 and 18\/3625.\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -b - 5*g, -2*b + 0*b - 5*g = -9. Calculate the lowest common multiple of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 101160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 277 + 77. Let m = 254 - r. What are the prime factors of m?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*h + 4 = 0, 2*u - 27 = 2*h - 1. Suppose -34 = -3*d + 4*q, -q - u = d + 3*q. Calculate the remainder when 27 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56354\/(-2580) + -6 + 3. Let s = 2\/215 + b. What is the common denominator of (-1)\/(-2)*(-38)\/3 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 25*l + 1026. Let o be z(0). Differentiate -1544 + 112*m + o + 778 with respect to m.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/72)\/3 - 119*(-10)\/(-336).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a century?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 - 10*l - 1. Let n be v(-11). Let r = -5\/186 + -3839\/186. What is the common denominator of n*(32\/6)\/(-4) and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 207. Suppose 0 = 2*v - v - 11. Let j = v - -7. Calculate the smallest common multiple of l and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3*r - 15. Calculate the remainder when 768\/r - (-2)\/(-7) is divided by (5*2)\/(4 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3915507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6036 + 6?\nAnswer: -6030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -44717*a - 44719. What is j(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0464 to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 2:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335590 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/(2\/(-50)). Let y = 23 + -32. Let g be 8 + y + (41 - 0). What is the greatest common divisor of g and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9006*p + 36 = 8994*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 905\/8. What is the nearest to -2 in -0.5, s, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 10. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -4*v - 145. Solve -22 = 13*f - 17*f - v*p, p = -f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1798, -1759, -1722, -1687, -1654, -1623?\n\"Answer: -r**2 + 42*r - 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(12\/5 + -2). Suppose -d*s + 4 = 0, 4*w + 4*s = -0*w - 24. Let c = w - -8. Solve c*q - 15 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, 3090, 40\/3?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - c**2 + 6*c + 7 + c - 5*c. Give f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*((223 + 277 - 59 + 2 - 4 + 1 + (-3 + 4 + 1)*(1 - 3 + 4))*(4 - 4 + 6*o) + 0*o - 3*o + 2*o).\nAnswer: -2663*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 3*(-112)\/4. Let l = 51 - x. Let w = -23 - l. What is the least common multiple of 19 and w?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*c + 5, -2*c + 4 = 2*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2167594*u**3 + 4335106*u**3 - 2167540*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -1\/2 (c) -15\/8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 32319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.404?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**13\/(j**(-6)\/((j**(-1\/4)*j*j)\/j))*((j*j*j**(1\/3)*j*j)\/(j**(2\/19)\/j))\/((j**1*j)\/j)**(2\/25) assuming j is positive.\nAnswer: j**(141919\/5700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -40102134?\nAnswer: -40102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5925677003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -11 (c) -3 (d) -27 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24333 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -37*f**2 + 177*f. Let g(h) = 2*h. What is i(g(p))?\nAnswer: -148*p**2 + 354*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -1, -2, -5, 2 in decreasing order.\nAnswer: 2, -1, -2, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5860870?\nAnswer: 2, 5, 586087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 1440 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 5*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*f**4 + 49.\nAnswer: 172*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 708*p + 5. Let x(u) = -1415*u - 11. What is 9*o(q) + 4*x(q)?\nAnswer: 712*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/305 - (-9431619)\/89853?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 26232.\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-12)\/(-4) - 1). Suppose k = -0*f - f. Solve 7*q - 2*q = f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252448 a multiple of 1738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14721270 + -281.\nAnswer: 14720989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 - 308*p\/3 + 1490\/3 = 0 for p.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 446055164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/300 + l**4\/60 - 14*l**2 + 13*l. Let s(j) be the first derivative of c(j). Find m, given that s(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 + 307*d**2 - 3393*d\/2 + 995.\nAnswer: -(d - 199)*(d - 5)*(3*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 102253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/16 - (16 - 16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 10. Does 7 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 18*h**4 - 3*h**3 + 102*h**2 - 36*h - 120 = 0. What is h?\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 + 284. Does 48 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 816193, 816207, 816221, 816235, 816249?\n\"Answer: 14*v + 816179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + 8. Suppose 0 = 4*y - y - i. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 15 = 4*b - 2*q, -34*b - 30*b = -61*b + q - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b**(-5)*b)\/b)\/b)\/(b\/b**(-2)))\/(b\/(b*(b*b**(-1)*b)\/b))**25)\/(b**(-2)*b\/b**(5\/2)*b)**(-3\/20) assuming b is positive.\nAnswer: b**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 139*d**3 - 57 - 69.\nAnswer: -139*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v**(-9) assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 733, 2\/5, 0.2, -3 in descending order.\nAnswer: 733, 2, 2\/5, 0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**12)\/(w*(w*w\/w**(2\/7))\/w*w))**(-1\/26) assuming w is positive.\nAnswer: w**(48\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/4 + 102*i**2 + 4797*i\/4 = 0.\nAnswer: -123, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.4979499 - 103.49795. Let v = 1 - d. Round v to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(9)\/sqrt(3))**2 + 1 - sqrt(24)\/(sqrt(40)\/sqrt(5)) - 5*sqrt(12)*6*-1))*-2.\nAnswer: -118*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Suppose f*m = -2*l + 111 + 236, 2*m = l - 151. Let c = l + -28. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*n**3 + 1\/5 + 7\/5*n + 3*n**2.\nAnswer: (n + 1)*(3*n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25301477 and 255439?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) 8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10955844, -10955842, -10955840, -10955838?\nAnswer: -10955836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/8 + x**2 + 3. Let m(a) be the second derivative of d(a). Let o(l) = 2*l**2. What is o(m(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21649 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.13518131 and 0.044?\nAnswer: 1.09118131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54076\/139 or -390?\nAnswer: -54076\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4144)\/11396 - (2\/(-11))\/(-2)*392?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 515*x + 254*x - 208*x - 561 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661607016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 0 + sqrt(147) + 4.\nAnswer: 4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40301, 40274, 40247, 40220?\n\"Answer: -27*n + 40328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1024917324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, b: 2, i: 1}. Give prob of sequence byk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*o + 790 = 189*o. Let m = 398 - o. Solve 3*j - 12 = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25864 + 25867. Let u(b) be the second derivative of -1\/20*b**4 + 0*b**2 + 3\/20*b**r + 0 + 33*b + 1\/200*b**5. Factor u(n).\nAnswer: n*(n - 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 269271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -111010111011111110110?\nAnswer: -111010111011111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 21*n - 19. Calculate h(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 26*q**2 + 4*q. Let k(f) = -2*f - 4. Suppose -2*t + 0 = 6. What is the lowest common multiple of i(-1) and k(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980574 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(4 + -3) + 0. Suppose 0 = -c*p - 2*p. Suppose -3*o + o + 10 = p. Solve -4*n + 15 = o*x + n, 3*x - 5 = -n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(12) - (sqrt(12) + 2*sqrt(60)\/sqrt(5)))\/(sqrt(8)\/sqrt(2)*2) + 2.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 31*w**2 - 128*w - 40. Determine f(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11520)\/216)\/(4\/(-29490)). Round n to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)*q)**24\/(q\/q**(-2\/11))**(-40) assuming q is positive.\nAnswer: q**(3656\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = -4*h, 3*c - 3 = -10*h + 7*h. Solve -n - h*m = -2*n + 1, 0 = 5*n + 4*m - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-2*o - o + 4*o) - 2*o + 0*o + o + 12693*o + 11174*o - 22750*o + o + o + 0*o.\nAnswer: 1120*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 14. Let l(u) = -1 - 8*u + 3 - u - 3. Is l(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 19. Let n(r) = 3*r**2 - 3*r. Let s be n(2). Let a be 0 + (s\/(-8))\/u. Is a equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -417 or 1\/7706?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -58. Suppose -4*z + 103 = -x, 4*z - x - 77 = z. Calculate the remainder when z is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 - 2*l**3 - 9*l**2\/2 + 14*l - 21. Let p be b(7). Solve 3*n + n + 16 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v**2 + 1\/2*v**3 + 1\/2*v**4 + 0*v + 0.\nAnswer: v**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r*r*r**(4\/5)\/r*r*(r*r**(-1))**26)\/((r\/r**(2\/9))\/(r*r*r\/r**(-1\/2)))**27 assuming r is positive.\nAnswer: r**(783\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (sqrt(2736)*3 + -2).\nAnswer: -24*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9 - 576\/(-610). Let w be 181\/(-183) - (1 - 2). Let m = k - w. Which is the nearest to m? (a) 2 (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-33))**(6\/13)\/(n**(-1\/18)\/n)**(-33))**(-16) assuming n is positive.\nAnswer: n**(30952\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004036487 to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70665 and 61530.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 426*r - 17. Let h(q) = -284*q + 12. Determine -7*h(s) - 5*v(s).\nAnswer: -142*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 4, o: 7, f: 6, z: 1}. Give prob of picking 3 p and 1 f.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183392294 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365684 is divided by 665?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/120 + m**5\/15 + m**4\/6 + 5*m**3\/6 - 3*m**2. Let a be b(5). Solve 4*g = -a*g - 3*o + 11, 0 = 3*g - 4*o + 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, -0.2, -21\/22 in descending order.\nAnswer: 7\/4, -0.2, -21\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463102?\nAnswer: 2, 231551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11668 = -4*p - 11660 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28515*m + 10773 = -28382*m for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354840.\nAnswer: 2, 5, 33871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.880098364 + 0.119902936. Let o = -4.88 - 0.12. Let g = v + o. Round g to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4293 and -8.\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7436840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.986 + 5. Let x = 0.032 + o. What is x rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12288, -15478, -18668, -21858, -25048?\n\"Answer: -3190*t - 9098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7912 a factor of 680859248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -3*q**4\/8 - 7*q**3\/6 + 5*q**2\/2 + 5*q. Let h(i) be the first derivative of c(i). Differentiate h(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 169 = -4*s. Find the first derivative of -m**3 - 41*m**4 + 3*m**3 - 202 - s*m**4 wrt m.\nAnswer: -416*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 3\/5, 0.067, 4, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -439 in 9, -21, -13, 0.3, 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * -5.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Which is the nearest to 0.1? (a) -0.1 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 125 = -4*a, 0 = m - 3*a - 25. Calculate the remainder when 98 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - ((55 - -141) + -83).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/7 + 475\/35. Let i = z - 11. Let m be ((-2)\/(-7))\/(i\/21). Solve 0 = -m*g - 0*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0 + 0)*(16 - 27 + 21).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 110, -1, -1\/4, 7, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -17. Put -5, -2\/7, k in descending order.\nAnswer: k, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.015 - 2. Let r = u - 5.415. Let j = 5 + r. Put -4, 0, j in ascending order.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10947038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*-2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14018 divided by 2\nAnswer: -7009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10665326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00624 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080040075 rounded to 5 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 + 69*f**2 - 43*f - 207. Determine p(17).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w**(-3\/5))\/w*w)\/w)*(w\/(w*(w*w\/((w**(-7)*w)\/w*w)*w)\/w))\/w)**38 assuming w is positive.\nAnswer: w**(-1406\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 841156 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 + 2*w - 1. Let v be u(1). Let r = 146 + -146. What is the closest to r in 1\/5, v, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*7*471\/(-942)*(-40)\/(-28)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**3 + w**2. Let k be l(1). Let u(t) = t**3 - 7*t**2 - 7*t - 6. Let h be u(k). Suppose 0*g - 4*f = h*g, 0 = 5*g + 2*f. Is g at most 1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 119. Let g(y) = -y**3 - 8*y**2 - 4*y + 2. Let x be g(-7). Let i = x + o. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most -2\/2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/105 or -2\/5?\nAnswer: 19\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.9 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = x - 8799992, -4*j = 3*x - 26399984. Round x to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39949748533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 12:27 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1, -0.2, -5, 0.62?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -262, -378, -510, -652, -798, -942, -1078?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/221*1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 5566?\nAnswer: 500940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3787*t - 5 = 3786*t. Let u(g) = -g**3 + 7*g**2 - 4*g - 28. Let n be u(t). Solve -3*r = 2*r + n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7761 and 15\/398.\nAnswer: 15522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886115 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -78, -5, 170, 489, 994, 1727, 2730?\n\"Answer: 7*l**3 - 12*l**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 60*d + 21. Let g(s) = -12*s + 4. What is -11*g(f) + 2*h(f)?\nAnswer: 2*f**3 + 12*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.66626nm?\nAnswer: 0.00000004666626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/3))**4*(y**(1\/2))**48)**(-11) assuming y is positive.\nAnswer: y**(-968\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.05 (b) -2\/9 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039336562 a multiple of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(0 - 4*u + 0)*(-14*u + 11 - 11) in the form f*u**2 + l + r*u and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 1d5?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*g = -108 + 290, n + 4*g + 179 = 0. Let r = n + 215. Calculate the least common multiple of 72 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1117\/153 - 75\/17. Is c > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123\/820)\/(4\/10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**3 + 7*g**2 + 13*g + 1. Let a be y(9). Suppose 4*n = -2394 + a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*g + 17, 382*s + 15 = 377*s + 2*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20))\/((-14)\/(-10)). Let t(x) = -2*x**2 - x + 1. Let c be t(-2). Sort c, p, 2\/7 in decreasing order.\nAnswer: 2\/7, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -5 (b) 1 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36890490 divided by 27026\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7105202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 174, 260, 346, 432, 518?\n\"Answer: 86*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1866 - -1870. Which is the third biggest value? (a) 3 (b) m (c) -2\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9326829.\nAnswer: 3, 17, 43, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 885072, 885035, 884982, 884913, 884828, 884727?\n\"Answer: -8*w**2 - 13*w + 885093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y + 5. Suppose -3*m + 8*m = -40. Let l be ((-18)\/m)\/(18\/(-72)). Let j(k) = -5*k - 2. Determine l*j(r) - 4*n(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Suppose -3*r + 2*r = -s. Let o be (-32)\/40*(-10)\/r. Solve 0*a + 3*l + 5 = 2*a, o*a = -2*l + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*m + 85 = -161, 5*f - 365 = 4*m. Let u be 2\/(5 - 3) - f. Let q = -54 - u. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:47 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.3 - -50. Let r = 0.5 + -1.8. Let m = i - r. Which is the second biggest value? (a) m (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - p + 2247573 = -0*r, -5*p = r - 561879. Let a = -809894 + r. Round a to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 - -3?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42096, -4, -6, -3, 1, 5, 2 in ascending order.\nAnswer: -42096, -6, -4, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0\/p)\/p)**(-10))**(-42)\/((p*p**0)**(-18\/11)*(p\/(p**(-1\/4)*p))**(-1\/4)) assuming p is positive.\nAnswer: p**(-147541\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 1, m: 4, x: 4}. Give prob of picking 1 m and 1 x.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -69 - (-5 + 3 + -3) - -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223 + -219. Solve -2*v + 15 = 4*a - 9*a, 0 = -u*v - 2*a - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -211, -248, -235, -166, -35, 164, 437?\n\"Answer: k**3 + 16*k**2 - 136*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 180 = 23*v. Calculate the remainder when 214 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 h, and 1 p when four letters picked without replacement from {p: 1, o: 2, h: 1, i: 4, n: 3, z: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-1 - (sqrt(3) + (-1 + sqrt(432))**2)) + (sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(3)*1))) + 1 + 2.\nAnswer: -430 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/536 and -99\/8?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04731814973 and -0.0171.\nAnswer: -0.06441814973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -5*s**6\/2 - 7*s**3\/3 + 9. Find the third derivative of c(b) wrt b.\nAnswer: -900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -72652*l + 2369. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/929 and 89\/1220.\nAnswer: 1133380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 - 11*f + 5. Let s be d(-11). Suppose 2*c - 7 = 5*w, s*c + 4*w - 11 + 43 = 0. Is (469\/(-2))\/(2\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/(2\/((-8)\/(-6))). Let z = -1 + 1.5. Which is the closest to 0? (a) l (b) z (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 1791*t - 1793*t = -3*s - 6 - 4, -15*t = 45 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) + (-243)\/(-5). Suppose -p = -3*o + x, -o - 2*o = -4*p - 57. Suppose o = -n + 2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2*(-1)\/3. Let x = -286 - -292. Determine v so that v**3 + x*v - 7*v + 13*v**2 - 13*v**y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - 579?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**2. Let k(v) = 12*v**2 + 5*v. Let p(t) = 42*t**2 + 18*t. Let o(l) = -18*k(l) + 5*p(l). What is g(o(i))?\nAnswer: -324*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -1.291 (c) 2\/9 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(3*(-12)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdnnddoodddsddottt. Give prob of picking 1 d and 3 o.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 1 - 6 + 150*v**2 + (-3 + 3 - 2*v)*(-8*v + v + 3*v) - v**2 + 1 - 1.\nAnswer: 157*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and 52757.84.\nAnswer: 52735.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m - 38*m = -60. Let b(s) be the second derivative of -1\/2*s**2 + 0 - 1\/3*s**4 + 4\/3*s**3 - 1\/20*s**5 - 6*s. Determine b(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/40095250 and 169\/6570.\nAnswer: 360857250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 u when four letters picked without replacement from {v: 6, u: 4, l: 1, a: 5}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 16. Let t(n) = n - 5. Calculate -7*t(j) + 2*y(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2 + 961*p = 0.\nAnswer: 0, 961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 6*v**4 + 11*v**4 - 12*v - 5 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1391 - 3*j + 4*j**2 + 3*j - 804.\nAnswer: 4*j**2 - 2195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1\/6, 1, -5 in decreasing order.\nAnswer: 1, 1\/6, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 4*l**2 + l + 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -293.2, -5\/3, -5\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11302240 (base 8) to base 15\nAnswer: 3387de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -947*z**3 - 2 + 113*z**4 + 947*z**3 + (0*z**2 + 0*z**2 - 2*z**3)*(0*z + 0*z + z).\nAnswer: 111*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5750 and 69\/22.\nAnswer: 63250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941597927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1285644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y**3 + 9*y + 9. Let r(n) = 8*n**3 + 5*n + 5. Let p(w) = -5 + 24 + 24 + 8*w + 12. Let k be p(-8). Determine k*r(d) + 5*q(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 22*a - 98. What is j(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46322, -46320, -46316, -46310?\n\"Answer: x**2 - x - 46322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1047*c. Let f(x) = 212*x**2. Give i(f(y)).\nAnswer: 221964*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0)*(((h*h**10)\/h)\/h*h)\/h)**27\/(h**4\/(h*h\/(h\/h**8))*(h*(h**0*h*h)\/h*h)**(2\/5)) assuming h is positive.\nAnswer: h**(1234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - m + 3711 = -0*m, 0 = 5*j - m - 9288. List the prime factors of j.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1477?\nAnswer: -1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.169\nAnswer: -0.4676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 13*u - 4. Let v be b(-6). Suppose -i = -2*q + v, -26 = -5*q - 3*i + 47. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*g + 3296 - 53 = 0, -3*d = -3*g - 3237. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 25, -6\/11 in decreasing order.\nAnswer: 25, 0.2, -6\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -4\/3*r**3 - 34*r + 0 - 5\/2*r**2. Let p be (12\/(-14))\/((-3)\/(-21)). Let x(v) = -7*v - 4. Give p*f(t) + 7*x(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -27*d. Let h(f) = f**2. Calculate j(h(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*n - 1608*n + 72 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1376\/417 or 3?\nAnswer: 1376\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4222 * 0.496.\nAnswer: 0.2094112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -551*t + 12*t**2 - 5 + 551*t + t**2. Let p(u) = -28*u**2 + u + 10. Let l(z) = 5*c(z) + 3*p(z). What is the second derivative of l(f) wrt f?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 552*j - 407*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 0, 2, -35440, 3 in decreasing order.\nAnswer: 185, 3, 2, 0, -35440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 281794929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4478*y**2 - 606*y**2 + 188*y + 429*y.\nAnswer: 3872*y**2 + 617*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 422 + -296. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11002020?\nAnswer: -11002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -5*i**4\/24 - i**3\/3 - 581*i**2. Let p(l) = l + 1. What is 6*p(s) + t(s)?\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 928\/2045?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*u - 19 = 0, -4*q = -q + 3*u - 3. Suppose -12 = h - 5*h. Suppose h*r + 9 = 24. Sort q, r, 0.\nAnswer: 0, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/24 + s**5\/30 + s**2 - 1. Let m(x) be the second derivative of k(x). What is the third derivative of m(c) wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 10*j**2 + 6*j - 24. What are the prime factors of a(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3711485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*3*5\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28195, 64108, 100021, 135934?\n\"Answer: 35913*m - 7718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 844.29108 seconds?\nAnswer: 0.2345253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 3*l**2 + 3*l. Suppose -7 = -9*a + 20. Let n(p) = p**3 - 1. Let g(s) = a*n(s) - 3*o(s). Find j such that g(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 13. Find the third derivative of h*u**5 - u**2 - 9*u**5 + u**5 + 3*u**2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-132)\/28)\/(235\/658)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 669?\nAnswer: 7\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -11 (b) 1\/2 (c) 2\/13 (d) -2\/203\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/(-8))\/(301\/(-172))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/16 - 2978\/7448. Let s = l - 12\/49. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/a*a**(-2\/7)*a**(-4\/7)*a\/a**(-1\/4) assuming a is positive.\nAnswer: a**(-157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 484\/(-24) + (-35)\/42. Let a be (5 - d\/7)*2\/4. Solve -3 = a*c - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**3 - 12*o**2 + 30*o + 4. Let g(a) = 7*a**3 + 12*a**2 - 28*a - 5. Let s(n) = 5*g(n) + 4*z(n). What is s(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkfugkguususgushggg. Give prob of picking 1 k and 1 s.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.7 (b) 1\/4 (c) 1\/145 (d) -17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = -5*r. Let i be r + 147 + -1 + -4. Suppose 9*c - 4*c - i = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ba4 (base 12) in base 16?\nAnswer: -d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - c - 1, 2*c - 22 = -2*y. What is the tens digit of 2\/(-9) + y\/((-108)\/(-2254))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132022107 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 1044*l**2 + 40900*l - 230100.\nAnswer: -4*(l - 295)*(l - 5)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8 = 2*c. Suppose -9 = -3*y + 2*v, -5*y + 3*v + 15 = c*v. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, z: 6}. Give prob of sequence kkz.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + 2*(3 + 3 + sqrt(288)*-2)*5)**2.\nAnswer: -27840*sqrt(2) + 118564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.57 + -0.632. Let u = l - -0.862. Let d = -42 - -46. Which is the second smallest value? (a) d (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 12*l - 149 - 86 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1210818678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2879 is divided by 459.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -21, -35, -71, -135, -233, -371?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = h + 5*k, -4*h + 13*h + 147*k + 703 = 5*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) 0.3 (b) -0.05 (c) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -20 + 7 + 14 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 2, i: 2, o: 1, l: 4}. What is prob of sequence hh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:24 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57297732?\nAnswer: 2, 3, 59, 80929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*o**4 - 10025 + 17*o**3 - 20*o**4 + 13*o**4 + 134*o**3 + o**4 wrt o.\nAnswer: -120*o**3 + 453*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2378 = c - 5*y, 0 = c - 0*y + y - 2372. List the prime factors of c.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4187 and 7367?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 2*d)*(85*d + 4*d**2 + 78*d - 181*d).\nAnswer: -4*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i + 21. Determine u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-2 - sqrt(44))*4 + (-1*sqrt(396) + sqrt(11))**2 + -4*2*sqrt(11) + -2)*-4.\nAnswer: -1092 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595946, 595955, 595964, 595973, 595982, 595991?\nAnswer: 596000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -4, -6\/13, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 10*v**2 - 8*v - 8. Let s be k(-12). Suppose s = 4*i - 0*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + (-25 - -14) - (12 - 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07832 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 6 = 11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from axxaxdadasaxatx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -81. Suppose n + 122 - 182 = x. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70723747 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 n = -5951\/3425 + 12\/685. What is the common denominator of n and -107\/560?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76046717 from 525402.\nAnswer: -75521315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -131860\nAnswer: -1\/6593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83727 - 75159 = 168*j for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 110*t**3 - 65*t**2 - 65*t. Let z(a) = -5*a**3 + 3*a**2 + 3*a. Suppose 0 = 13*h - 21*h - 1040. Give h*z(w) - 6*x(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:01 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 17*s + 43. Let a be j(19). Let g(w) = w**3 - 17*w**2 + 16*w + 1. Let i be g(16). Suppose -5*m - i = 19. Put a, m, 1, 3 in decreasing order.\nAnswer: a, 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(-15) - -3 - ((-240402)\/30 + 5) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-two fifths of a centimeter?\nAnswer: 44000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4875\/(-140))\/(-65)*24)\/(10\/(-84)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*g**5 - 121*g**5 + 3925*g**2 - 3933*g**2 + (2*g + g**3 - 2*g)*(0*g**2 - g**2 + 3*g**2).\nAnswer: -162*g**5 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75226.5 and -307.148.\nAnswer: 74919.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911396 a multiple of 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**38\/(a\/(a*a**(-1\/9)*a)*a**(-3\/5)) assuming a is positive.\nAnswer: a**(-3353\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 4340924*k**2\/5 - 471087056586*k + 3768752016720.\nAnswer: -2*(k - 8)*(k + 1085235)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2 + 1. Suppose -2*s - 13 = -5. List the prime factors of g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 12. Let h be y\/(-4) - (-8835)\/4. Let k = -2170 + h. Find the common denominator of k and -53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3743, 9828, 19949, 34106, 52299, 74528, 100793?\nAnswer: 131094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*b + 20, -5*t + 3*b = b - 64. What is the remainder when 105\/t*2*1 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2379 divide 2965424864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 1 + 4)*((n - n + 2*n)*(-n + 0*n + 0*n) + n**2 - 8*n**2 + 80*n**2 + n**2 + n - n).\nAnswer: -576*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*i + 4. Suppose -5*p - 3*q + 95 = -7*q, 44 = 3*p - i*q. Suppose 3*u - 53 = -t - 3*t, -p = -2*t - 5*u. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 485, 469, 453, 437, 421?\n\"Answer: -16*n + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 194 - 34. Let x = 66 + r. Suppose 0 = x*b - 29*b + 9. Sort 0, 20, b, 4.\nAnswer: 0, b, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28518218\/33 bigger than 864187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 + 2*z + 7. Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -7\/2, 4.1, 2\/17, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19904 + -19849. Solve 0 = -54*s + c*s + 7 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let j = v + -9. Let b = j + 9. Solve -n = 5, -2*n + n + 15 = b*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zibbiiibiiiz. Give prob of picking 3 i.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*r - 2*r - 20 = 0, -4*s - 4*r - 4 = 0. Suppose m - 3*u = -627, 3*m - s*u + 927 + 954 = 0. Is m\/(-12) + 6\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 160*l**3 - 249. Let i(o) = -159*o**3 + 251. Let y(k) = 4*b(k) + 3*i(k). Find the first derivative of y(v) wrt v.\nAnswer: 489*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1188290 and 13571?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 63. Let a be n(-31). Let y = a + 127. Let f be ((-7)\/(-2))\/((-1)\/(-2)). Solve -f = -y*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 12*n**2 - 21*n - 1. Give c(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -2 + 13 + -9 + 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**2*y**2 + 9*r**2*y - 18*r**2 - 10*r*y**2 + r wrt y.\nAnswer: 16*r**2 - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 - -5 - 3. Solve 9 = l + j*l, -4*l = -5*b + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - -1.6. Let c = 1.5956 + -2.5956. Put -109, u, c in descending order.\nAnswer: u, c, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 11594690.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 71, 98, 115, 116?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792*a - 793*a + 4 = 0. What is the fourth biggest value in 2\/3, a, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:56 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 2*k**2 + 5*k - 1. Give q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23437113 is divided by 2130645.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)*(-135)\/(-60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 + 3 + 9 - 3) - 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1622867256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*r - 7354, -2292*v - r + 11051 = -2289*v. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998 + 2665 - 2*o + 646.\nAnswer: -2*o + 2313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 20. Let p(h) = -h**3 - 27*h**2 - 25*h + 38. Let f = -59 - -33. Let s be p(f). Give c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 118. Put m, -4, -3\/2, 2\/11 in decreasing order.\nAnswer: m, 2\/11, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11690125 divided by 5125?\nAnswer: -2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.3007959\nAnswer: -0.06015918","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*v - 7*v - 425, -4*v + 115 = p. What is the remainder when 434 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9496*r - 788*r - 326*r + 486156 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12*d - s - 306 = 0, 0 = -d - 3*s - 50. What is the common denominator of (-36)\/(-90) - (2 + d\/20) and 7\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.03 - 0.03. Let q = 0.09 + 0.11. Let w = -12.3 + 12. Which is the smallest value? (a) w (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 44*f**2 - 1294*f + 1248 = 0. What is f?\nAnswer: -39, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84, 138, 184, 222, 252, 274, 288?\n\"Answer: -4*m**2 + 66*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:13 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 76 - 104 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/12*(1 + 0)*-29 and 4\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133203637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let s = 25 - 22. Suppose s = 5*q - 2*q. Determine n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048848561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33746, 67480, 101214, 134948, 168682?\nAnswer: 202416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 75. Let y(l) = l**2 + 17*l + 9. Calculate the remainder when y(n) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13035 + 13040. Let s(f) = -f + 6. Let i be s(6). Let z = -0.2 + 0.7. Which is the nearest to i? (a) x (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.3 and -5.014726049.\nAnswer: -2.714726049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (sqrt(1900) + sqrt(1900)*1 + sqrt(1900) + 3 + sqrt(1900)*1*4 - 2*sqrt(1900)*4*1)))**2.\nAnswer: -720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuhr when four letters picked without replacement from {h: 1, r: 1, u: 1, w: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = 4, 5*k + 2*y - 15 = 0. Suppose 3*t - 3*s = 240, -3*s = 5 + k. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.716 - -2.74. Let g = 0.424 - o. Let s = -8 + 6. Put g, -3\/7, s in ascending order.\nAnswer: s, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -4*((sqrt(2299) + sqrt(2299) + 0 + -3 - sqrt(2299))**2 + ((sqrt(2299) + -1)*-6)**2).\nAnswer: -340436 + 3432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = i - 78 - 53, 5*i + 73 = 3*o. Let q = -34 - o. Let w = q + 92. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 - 36 = -5*f. Suppose 1012 = -75*i + 121*i. What is the remainder when f is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(-7)\/(70\/60)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 582 + 78 = 0. Let a = -42 + 62. What is the least common multiple of a and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:31 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 2*c**5 - 4*c**5 + (-4 + 1 + 4)*(0*c**4 - c**5 + 0*c**4) - 2*c**5 - c**5 + c**5 + 10*c**2 + 3*c**5 - 10*c**2.\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -770887.21 - 1\nAnswer: -770888.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(5\/4) - (-3 - 1). Let i be (8*(-19 - j))\/(4\/(-1250)). What is i rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2172 - 6*d - 2172.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + 0*i**4 - i**4 + (i - i + 4*i)*(i - i - 2*i)*(-3*i + 4*i - 5*i)*(2*i + 0 + 0) to k*i**3 + n + g*i**2 + h*i**4 + s*i and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -1918?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -1618, -2477, -3338, -4201, -5066, -5933?\nAnswer: -6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*y**3 - 1367*y**2 - 67*y + 5391151?\nAnswer: 12*y**2 - 2734*y - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6153 and 2637?\nAnswer: 18459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -75.41 - -259\nAnswer: 183.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1563\/(-2)*1\/((-21)\/56). Let u be 28\/(-210) - g\/15*2. Are -278 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-1350))\/4*15.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51033 is divided by 2319.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = a - 28. What is the units digit of (1 - 1) + a + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 127, 173, 229, 289, 347?\n\"Answer: -l**3 + 14*l**2 - 5*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.74996 grams to tonnes.\nAnswer: 0.00000474996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*s - 6. Suppose 0 = -2*u - 0*u + 2. Calculate the least common multiple of u and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -21*z**2 - 53*z - 4. What is i(-7)?\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 147*m**2 - 4550*m + 7045. Calculate z(-47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15*6\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t**2 + 14. Let o(c) = -14*c**2 + 18. Let p(n) = -9*b(n) + 7*o(n). Let d(h) = -378*h. Calculate p(d(y)).\nAnswer: 142884*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -82, -240, -514, -934?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-39)\/(-26))\/(2\/(-16)). Let n = g + 16. Solve -3*o - n*t + 1 = -11, 12 = 3*o - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.035 + 34.965. Let l = -39.2 + o. Let i = 4 + l. Which is the closest to -5? (a) i (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 319 - 306 = 2*w, 10 = 5*w + 10*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516399 is divided by 6146?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llullu. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-42)*(-17739)\/(-15768)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2982 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:23 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k. Let n(r) = -6129*r. What is v(n(y))?\nAnswer: -67419*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55986 to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.232188 to two dps.\nAnswer: 127.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1110000?\nAnswer: 1110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 1519 = 147. Let x be (-12)\/(-14)*p\/(-255). Suppose x*k - 8\/5*k**2 + 4\/5*k**3 + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 39*c - 6*c + 110980 = 0. Calculate the highest common factor of 40 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -8712.\nAnswer: -8717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241616651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104005, -103992, -103979, -103966, -103953?\n\"Answer: 13*n - 104018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109995 rounded to 4 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1236903 != -1236469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -7 + 10 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 0.1.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45.575 from 0.4.\nAnswer: -45.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111928759*k**3 + 31187087*k**2 wrt k.\nAnswer: 671572554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**4\/12 - o**3\/3 + 3*o**2\/2 + 12*o. Is k(9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -5. Let b(t) = t**2 + 6*t - 7. Let h be b(-6). Let y = h - k. Solve 5*d = -15, -q + y*q - 14 = 4*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717785015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvnv when four letters picked without replacement from {n: 2, v: 2, y: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(0*f - 5*f + f)*(-3 - 1 + 3) to the form c*f + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 11. Let s be h(0). Let f = 18 - s. Solve f - 27 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.08084 months to years.\nAnswer: 24.84007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 11.2?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-198))\/((-30)\/18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-16)*v)*v**(2\/31)*v**(2\/9)\/((v*v*v**(-3\/8))\/v))**(-40) assuming v is positive.\nAnswer: v**(-174785\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let f(q) = q**3 + 2*q**2 - 10*q + 4. Let m(b) = -f(b) + 3*i(b). Factor m(a).\nAnswer: -(a - 1)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/10, 9\/4 in ascending order.\nAnswer: -3\/10, -0.1, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18382144\/1299 - -14151. Let j = 18569\/12990 + l. What is the common denominator of -26\/15 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88708843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.4, -1869545?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 7 = 59. Find the third derivative of 144*a - 52*a - 2*a**2 + 12393*a**j - 12160*a**3 wrt a.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 34. Suppose -u + 1118 = 1132. What is y(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -297 - 235. Solve b - c = -5*v, b = -b - 3*v + 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/24)\/(1\/6). Let b be -1 - (k + -2 + 0). Is (-1 - (-98 - b))*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-174.61\nAnswer: -873.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -2*m**7\/105 + m**6\/60 + 7*m**5\/60 + 529*m**4\/12 - m**3\/3 - m**2 + 256. What is the second derivative of h(c) wrt c?\nAnswer: -48*c**2 + 12*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 6, 14, 24?\n\"Answer: s**2 + 3*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-350)\/(-11) - (-32)\/176. Solve 6 = 2*z, -5*q + 2*z - 6*z + k = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l + 1. Let t(o) be the first derivative of -o**2\/2 - 5*o + 3. Let d be t(0). What is x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 47976.\nAnswer: 48237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**6\/165 + 2*z**5\/55 + 2*z**4\/33 + 3*z. Factor f(r).\nAnswer: 2*r**2*(r + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Suppose -g + 4 = 3, -3*m - n*g + 48 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*x + 31, 0*n + 2*n = -x + 37. Suppose n*c - 80 = 19*c. Let h = c - 70. Calculate the highest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c274 (base 15) to base 4\nAnswer: 112120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12625.92 - 12626. Which is the closest to f? (a) 0.2 (b) 17\/3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -27*f**2 + 161*f + 68. Give b(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 + 624. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m - 56*m + 37*m)*(-3 + 4 + 1)*(-4*m**3 - 2*m**3 + m**3) + (m**2 + 3*m**2 - 2*m**2)*(0 + 0 + 6*m**2).\nAnswer: 332*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 187*v = 2*v + 768 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 3:25 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -6.06, -2, -2\/7, -12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215.896865 + -3.892957. Let q = k + -212. Let a = -0.004 + q. What is a rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:39 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (17 + -13 + -12 - (0 + -11))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88.714 - 3.286. What is the nearest to b in 0.5, -0.2, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100000001 - 10011?\nAnswer: 10101011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/10 - 5\/(100\/(-64)). Let t be ((-6)\/4)\/((-2)\/k). Let u be 1 - (-1 + -1 + 1). Solve 3*z - 10 = u*m, -5*z - 20 = m + t*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 18. Let g be j(-12). Let a = -4 + g. Find the second derivative of -6*f**4 + 36*f**2 - f - 36*f**a + 5*f wrt f.\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -341*a**2 - 619*a - 2. Let x(i) = 739*i**2 + 1239*i + 5. Calculate -13*b(z) - 6*x(z).\nAnswer: -z**2 + 613*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 371013453*u - 148405382.\nAnswer: (u - 74202691)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1081.65, -2, 169, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -157*u - 172. What is v(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1868417*m*q - 9538532*q wrt m.\nAnswer: -1868417*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -18. Let d(j) = -16 + 0 + 2*j + 3*j. Let i(t) = -t + 3. Let l(q) = f*d(q) + 11*i(q). What is the first derivative of l(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*x**2 + x**3 + 1\/2 - 1\/4*x**5 - 3\/4*x + 0*x**4 = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + k + 1. Let o be -1 + 3 - (1 + 1)\/2. Let p(w) = -6*w + 11. Let u(x) = o*p(x) + 6*q(x). Find the first derivative of u(t) wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -39.4, 1\/2, -4, -166, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + (-347 - -374).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3605755, -3605756, -3605757, -3605758, -3605759?\nAnswer: -3605760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-34)*g*g**(2\/9)\/g assuming g is positive.\nAnswer: g**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 65. Suppose -5*r = -y + 3, 76*r = -3*y + 78*r + 48. Calculate the remainder when w is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 54*q + 29. Let y be j(-24). Let d = -207 - -492. Let k = y + d. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = 2*v, v - a = 3*a + 11. Solve k + 5*m - 3*m = -15, v*m + 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 2, b: 1, c: 1}. What is prob of picking 1 b and 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -60*a**2 + 2904*a - 5812. Determine n(2).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2051 by 2.\nAnswer: -2051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*q**4 - 27*q**2 + 48*q**2 - 21*q**2 + 56 wrt q.\nAnswer: 152*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8354 and 678399101?\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 861*i + 3161 - 13493 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*m**2)*(-3*m**2 - m**2 + m**2) - 3*m**4 - 2*m**4 - 10*m**4 + (-2*m**2 + 2 - 2)*(-3*m**2 + 3*m**2 + 2*m**2) - 16*m**4 + 175*m**2 - 175*m**2.\nAnswer: -29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2*k + 1330. Let l be p(0). Suppose -9*j + l = -1154. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4282410 by 330.\nAnswer: -12977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.297841 + 0.298. What is k rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162778 is divided by 81355?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349785970, 699571942, 1049357914, 1399143886?\nAnswer: 1748929858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 + 1659*i**2\/4 - 171810*i - 172225 = 0.\nAnswer: -1, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = r - 3*r, 13 = -2*r + 5*v. Suppose 5*o - 9 = r. Solve 2 = -o*c - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glgggllggllgllgglul. Give prob of picking 4 l.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 482 + -481. Let x(m) = -27*m**2 - w + 4*m + 37*m**3 + 3*m - 5*m + 26*m**2. Calculate x(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 193, 287, 381, 475, 569?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 7 + 6)*(-d**3 + 0*d**2 + 0*d**2)*(2 + 2 - 6) in the form c*d**2 + g*d + z*d**3 + p and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00405864 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 10*z - 8. Let r be t(-7). Suppose 0 = 5*g + 4*k - 170, -r*g = -10*g + k - 95. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -16*a**3\/3 + 25*a + 25. What is the derivative of s(d) wrt d?\nAnswer: -32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 25 = 4*d, -20 = q - d - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x = 5*f + 38*x - 28, 4*x - 8 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117\/30 + 0 + 9\/15. Let m(x) be the second derivative of -4*x + 0 + v*x**2 + 7\/6*x**3. What is the first derivative of m(d) wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**5\/5 + 7*s**4\/4 - s**3\/3 - 7*s**2\/2 + 24. Find l such that k(l) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**14\/(((t*t*t**(-1\/15))\/t)\/(t\/t**(-3\/5))) assuming t is positive.\nAnswer: t**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 16*k + 8. Let c be o(-15). Let q(j) be the first derivative of 3*j**2\/2 + 10*j + 6. Determine q(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 468*b. Let v(u) = 1812*u**2 + 2 - 4 - 1813*u**2 + 2. Determine a(v(z)).\nAnswer: -468*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -939 + 60*u**2 + 939 to the form b*u + o + n*u**2 and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7708 and -48682.\nAnswer: 375240856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/8 + 153861*t\/4 + 20014605\/8 = 0. What is t?\nAnswer: -65, 102639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1758960*t**3 + t - 85669 wrt t.\nAnswer: -10553760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14814 + 21769. Does 107 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2406 and 285.\nAnswer: 228570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b - 2. Let j(s) = 295*s**2 + 10*s + 20. Let m(v) = j(v) + 10*z(v). Let x(t) = -t. Determine m(x(u)).\nAnswer: 285*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771637 is divided by 21872.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 21\/2 (c) 2\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y + 2*y. Let a be (-4)\/(-16) + (-15)\/(-4). Suppose -s + a = -3. Solve -2*w = y*m - s*m + 12, -4*w - 5*m = -28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**5 + 156*c**4 - 920*c**3 + 640*c**2 + 4224*c - 4096 = 0?\nAnswer: -2, 1, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156120 and 2040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*c - 4 = 0, t + 7*c - 12*c - 4 = 0. Calculate the remainder when 2\/20*t*90 is divided by (19\/2)\/(2\/4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7577 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358 + -1060\/3. Let v = -125\/6 + 21. What is the second biggest value in v, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187304 - 15255. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366.9133 - -0.0867. Let d = 364 - s. Sort -4, 0.3, d, 12 in descending order.\nAnswer: 12, 0.3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/30*(-14)\/21.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1310 divided by 1543\nAnswer: -1310\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15 + 180\/50.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3\/8 (c) 552154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 + -587. Suppose i + 93 = -r - 79, -r = 2*i + 172. Let s = r - x. What is the highest common factor of 66 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 901, 1355, 1809?\nAnswer: 2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6102 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 4?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -15\/19, 2 in descending order.\nAnswer: 5, 2, -15\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18486.49 + -1303.336.\nAnswer: 17183.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 + 2132*p**4 - 376456*p**3 + 21760712*p**2 + 44659340*p + 22520036 = 0?\nAnswer: -1, 161, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpppwwpp. What is prob of picking 2 p and 1 q?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:23 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -3. Let n be m\/(-21) - 8\/(-28). Which is the third biggest value? (a) 0.2 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 16*b + 16. Is 2 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w**3 - 5*w - 5. Let c(d) = 5*d**3 + 2*d + 2. Suppose -126 = -10*p - 4*p. Determine p*c(o) + 4*t(o).\nAnswer: o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48316*c - 47965*c - 8424 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j. Let t(p) be the second derivative of -2*p**3\/3 - p**2\/2 + 4*p - 185. Calculate -4*h(b) - 5*t(b).\nAnswer: 8*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2991 and -3?\nAnswer: 0.8973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1235, -2094, -2953, -3812, -4671?\n\"Answer: -859*l - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by -3 + (28 - 4\/(6 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3535404 rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -0.5 (c) -3\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 70 - 193*g**2 + 660*g**2 + 70.\nAnswer: 467*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -159388, -318858, -478328, -637798, -797268?\n\"Answer: -159470*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 13*q**5\/20 + 41*q**4\/12 + 35*q. Find the third derivative of v(w) wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/30 + 4*s**3\/3 - 8*s**2. Differentiate u(d) with respect to d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -16164, 5, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7274.5 + 7274. Which is the closest to 9? (a) 2 (b) 19 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212220210210110 (base 3) to base 11.\nAnswer: 71a230a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/60 + x**5\/15 + x**4\/8 + 51*x**2. What is s(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvmvvst. Give prob of picking 1 v, 1 s, 1 t, and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131 and 786.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 1.239\nAnswer: 0.01239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 20844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 5*o**8\/21 + 3*o**7\/70 - 89*o**5\/4 + 4*o**2 - 128*o. Find the third derivative of y(n) wrt n.\nAnswer: 4800*n**2 + 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 263013541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5432192, -10864390, -16296588, -21728786, -27160984?\n\"Answer: -5432198*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.2 (c) 18.87 (d) -1 (e) 110 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777172 = -291*q - 756511 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*u + 55 = 0, 2*u - 64 - 1 = -5*p. Solve p + 5 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a + -407a3?\nAnswer: -40932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 54 + 1794*j - 72.\nAnswer: 1794*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 14*o - 5*m + 539, -5*o - 2*m = -661. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -21 (b) -0.1 (c) 2866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13136*c**2 + 7*c + 5708747 wrt c?\nAnswer: 26272*c + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4 + 85*f**3 + 435*f**2 + 475*f - 1000 = 0.\nAnswer: -8, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxm when three letters picked without replacement from {x: 3, q: 1, m: 12, y: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-9)\/(-162)*14)*((-18)\/(-12) - 3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y**2 - 18*y**2 + y + 163*y**4 - 152*y**4 + 3*y + 474*y**4 as t*y**2 + l + h*y**3 + v*y**4 + q*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45090048 divided by -176133\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 3. Let u(i) = 57*i**2 + 11*i + 3. Let p be u(-1). What is the nearest to 1\/3 in p, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*d**3 + 3 - 3 + 858*d**3 + 4*d**2.\nAnswer: 1385*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9170 and 127\/26228820?\nAnswer: 183601740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 510. Let x be 2*(s\/42 - 21\/(-49)). Solve x*r = 15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-22 - (0 + -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -504793\/2 or -252396?\nAnswer: -252396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312380 rounded to the nearest 1000?\nAnswer: 1312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 + 3)*5. Let p = -8.3 + 10.3. Which is the smallest value? (a) y (b) 1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/203 < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 5334393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 13 - 13 + 2*p**5 - 3*p + 3*p + (-2*p**4 + 0*p + 0*p)*(p - 3*p + 0*p) + p**5 - p**5 + p**5 + 2 - 2 - p**5.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4*sqrt(168) - sqrt(168)) + sqrt(168))\/sqrt(3))\/((3*sqrt(162) + sqrt(162))*-6 - sqrt(162)) + 5)**2.\nAnswer: 16*sqrt(7)\/45 + 1266073\/50625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -778455 <= -778455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {m: 1, o: 6, j: 2, f: 1, x: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let a(b) = -155515300*b**2. What is a(y(z))?\nAnswer: -622061200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901*x - 523879 = -3170*x - 67489 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 2, a: 2, o: 2, u: 3, b: 2}. What is prob of sequence fo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -27\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k + x - 35, 0 = -5*k + 5*x + 45. What is the smallest common multiple of k and 786?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (0 - -10) - 20\/(-7). Which is the nearest to 3? (a) -0.1 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 - (5 - 4 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Let m be ((-2)\/(-1))\/(t\/6). Solve -4*j + 0*j + m = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 15*t + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(132)\/(2*sqrt(6)))\/sqrt(11) + sqrt(6)\/(sqrt(3) - sqrt(21)\/(sqrt(7) - (sqrt(175) - sqrt(7)))))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 577 + -573. Suppose 0 = 2*w + 4*f - 110, 0 = x*w - 0*f + 5*f - 208. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {a: 4, o: 4, r: 8}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 21*h + 192 = 0. Suppose 5*v - 4 = 3*d, -2*v = 2*d + 7 - 15. Suppose -2*n = -4*i - 12, -2*n = v*i - 6 + h. Sort n, -2\/7, 0.\nAnswer: n, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - x - 2 + 3 - x**3 + 0*x**3. Let q be a(-3). Suppose -b = -2*b + 8, -4*m - 2*b = -72. Calculate the highest common factor of q and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55525967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*q + d - 16, -2*q = 4*d + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 6*i - i - 27, -i + 12 = 3*a. Let k(v) = v**2 - 4*v - 2. Give k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 2, u: 2, n: 2, i: 4, r: 1}. What is prob of sequence nu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 1863 - 511. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1356\/226*((-87)\/9 + 26\/13)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1796429 and -1796590 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047894 rounded to 7 dps?\nAnswer: -0.0000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3 - -4)*(-2870 - -2968)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144259348?\nAnswer: 2, 17, 2121461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**8\/168 + r**5\/30 + 6*r**2 + 13*r. Let q(z) be the first derivative of i(z). What is the third derivative of q(o) wrt o?\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 361, 348, 321, 274, 201, 96?\n\"Answer: -h**3 - h**2 - 3*h + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = -2*r - 858. Let g = 1185 + r. Suppose -4*q - u = q - g, -2*q + 4*u = -166. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 1. Let t(q) = -8*q**2 - 4. Let w(h) = 4*s(h) - t(h). Let b(y) = 3*y + 6*y + 13*y + 25*y - 2*y. What is b(w(x))?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -496 - 379. Let l(y) = -i*y + 80*y + 81*y. Let s(p) = -p. Give l(s(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*q - 6 = c, q = -4*c - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by 39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 25 - ((-104)\/(-6))\/(-2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x + 11*x - 7*x - 602*x**2 + 12*x as j*x + f*x**2 + v and give f.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9532*y + 10647253. Determine t(1117).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288603 by 21.\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321580 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:16 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19990278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 15*k**4 + 6*k**3 - 24*k**2 = 0. What is k?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -652*s - 3716. Is y(-13) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1. Let w = 33 - 43. Let p(q) be the third derivative of -23*q**2 + 0*q - 4\/3*q**3 + 0 - 1\/12*q**4. Calculate w*n(m) + p(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66602 + -66600. Factor -8 + 2\/3*t + 2\/3*t**n.\nAnswer: 2*(t - 3)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/80 - 23*k**6\/240 + 3*k**5\/40 + k**3\/2 - 26*k**2. Let o(y) be the first derivative of v(y). Factor o(j).\nAnswer: 3*j*(j - 3)*(7*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(196)*4 + sqrt(196) - sqrt(196) - sqrt(4)))\/(-4*sqrt(9)*-2 + sqrt(99)\/(sqrt(275) - sqrt(11))) + -1.\nAnswer: -1 + 4*sqrt(3)\/891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**3\/3 + 529. Let d(s) = s**2 - 43*s. What is d(f(g))?\nAnswer: 4*g**4 + 86*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 2:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 228*k**4 - 46*k**3 - 137114*k**2 wrt k?\nAnswer: 5472*k - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-4 - (-8 - (0 - -4) - 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 8 - (259 + -255)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/100690 and 151\/1320.\nAnswer: 13291080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -32. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 31*f**2 - 1. Let k be x(1). Let h be 2 - (-2 + 2) - 100\/5. Let j = h + k. What is the remainder when 22 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76075516 (base 8) to base 7\nAnswer: 255262442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -9, -25 in descending order.\nAnswer: -9, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/6 + 6\/9. Let c(t) = 4*t**2 - 11*t + 6. List the prime factors of c(o).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1260) - sqrt(1260))*6)\/(sqrt(63)\/(sqrt(72)\/sqrt(2))).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 32. Let d = 4 + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95938570?\nAnswer: 2, 5, 7, 13, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.20288*0.2.\nAnswer: -0.040576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 37. Suppose -44 = -4*i + 4*a, 39 = 3*i - 4*a + 9. Let t(d) = 4*d**2 - 1. What is the remainder when g(i) is divided by t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-1\/18)*s*s)*s*(s**(-7\/6)\/s)\/s*(s**0*s)**(6\/25) assuming s is positive.\nAnswer: s**(-646\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k*k**9\/k)\/k)\/k))**(-24) assuming k is positive.\nAnswer: k**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632412645 divided by 126482529.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6 = 12. Let g be (-3)\/s*0 + 8. Which is greater: -2\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2160)\/sqrt(12)*4.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0 + 4 - 4 - 7*h**2. Let d(p) be the second derivative of -1\/2*p**3 + 0 + 0*p**2 - 18*p. Calculate d(z(j)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 3\/4 (b) 11\/972 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1030 = 4*w, 542 = 2*b - 3*w - 481. Let q = 515 - b. Solve -6*m = -q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 7 - 9. Put -6, a, -2, 4 in descending order.\nAnswer: 4, a, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1.3. Which is the nearest to w? (a) 2\/9 (b) -1 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -82240.3 to the nearest 1000.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 810a10?\nAnswer: 810a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83654821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 + -152. Let t(x) = 0*x + 12 + v*x + 5*x - 8*x. Give t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33271040.\nAnswer: 2, 5, 11, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1024?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 20 (b) -0.5 (c) 3\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 13. Let b(w) = -32*w - 144. Let l(p) = -5*b(p) - 56*o(p). What are the prime factors of l(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r - 20. Let p(b) = b - 2. What is -f(n) - 4*p(n)?\nAnswer: 13*n + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 383426 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 961919.8+3790\nAnswer: 965709.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 0*h)*(-h**2 + 7*h**2 - 24*h**2).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-9) - (-1772)\/792 and 97\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18492, -11, 2\/5, -2\/3?\nAnswer: -18492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 2*r - 7. Let d be a(5). Suppose -2*b - d*b = 15. Let z be -3 - (-16 - b\/(-1)). Solve -2*y - 2*y = -z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79458014*g**2 + 524*g + 82776 wrt g?\nAnswer: -158916028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2503, -2541, -2579, -2617, -2655?\nAnswer: -2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - d006e?\nAnswer: -d006b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 560753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2430, 2436, 2442, 2448?\n\"Answer: 6*b + 2424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6615480?\nAnswer: 2, 3, 5, 29, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000210 (base 3) to base 15.\nAnswer: -9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/20 - -1)*5. What is the highest common divisor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 17*i = 5*j + 4, 0 = -4*j - 3*i - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 15*l**2 + 1492 - 1486 + l**2. Give q(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = -12. Let j(c) = -10*c**2 - 5 - 3*c**3 + 3 + 10*c + 2*c**o + 3. What is the tens digit of j(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 27*f**2 + 27*f - 54. Give n(-28).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 36. Let o be r(-13). Which is the closest to 10? (a) o (b) -2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1440 + -1439.8. Sort -1\/4, -0.3, 0.05, 2, r.\nAnswer: -0.3, -1\/4, 0.05, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2*z + 3. Let k be p(-2). Let n be (-2)\/k - (-7)\/(-5). Let x = 3 - -1. Sort n, x, 2 in increasing order.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzeyzyyperep. What is prob of picking 2 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and 512658.\nAnswer: 512657.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 2. Let b be (1\/2)\/((-3)\/(-6)). Let g be (-12)\/20*(-4 - b). Let a(c) = 72 + 6*c**2 - 2*c**2 - 74. Give g*m(o) + 2*a(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2 + 1 + 0*f + 0*f - 8*f**2. Suppose -37*b - 34 - 3 = 0. Determine v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)*d**(-8))\/(d**(-3)*(d*d**(1\/2)*d*d*d)\/d) assuming d is positive.\nAnswer: d**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*p**3 - 150 + 279 - 150 wrt p?\nAnswer: -234*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0725 + 350.9275. Let n = z + -349. Let p be 0 + 1 - 18\/14. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, 0.4, -1, 0.02.\nAnswer: -1, 0.02, 0.4, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 7475 = -4021. Let p = 986 - r. Calculate the smallest common multiple of 203 and p.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44222188*s**2 - 44222188*s**2 - 20*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 6:05 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*a - 9 + 24, -3*q - 6 = 3*a. Calculate the remainder when (-1)\/(-4) - 398\/(-8) is divided by (52\/6)\/q*(1 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 20. Factor 2*t**2 - 4*t**2 + h + 1.\nAnswer: -2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-5)\/90)\/(1551\/(-99)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*i**5 - i**4*t - i**3*t - 250*i**2*t + 3*i*t wrt i.\nAnswer: 3720*i**2 - 24*i*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 68*b**2 - 32*b - 69. Let z be l(4). Solve 5*k + z = 931 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 664125 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o + 3. Let s be v(-3). Suppose -s*h - 1190 + 3230 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let h(r) be the second derivative of r**5\/24 - r**3\/3 - 4*r. Let f(z) be the second derivative of h(z). Determine k(f(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 15) in base 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 15. Let w(h) = 2*h**2 + 3. Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -686 (b) 0.02 (c) 14.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.639 - 0.061. Let k = n + -1.3. What is the second smallest value in -0.5, k, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8674405 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + (23 + -11 + 32 - 23) + 0 + -14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18135)\/(-620))\/(17\/68).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/40*-1 - 3489\/(-198). Let b = 192\/11 - v. Find the common denominator of b and -97\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15709.84 - 0.8058.\nAnswer: 15709.0342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-5)\/50*26. Solve 4 - 7 = -l*z, 0 = 4*t - 4*z + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, i: 11}. Give prob of picking 1 p and 1 i.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38318516 divided by 1388.\nAnswer: -27607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Let j(i) = -5*i + 4. Let p = -42 + 43. Let m(t) = t - 1. Let w(v) = p*j(v) + 3*m(v). Calculate w(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(1314\/(-6132))\/((-10)\/(-28))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 2*y + 2. Let l be (-1)\/(-2) - (-15)\/(-6). Let c be s(l). Suppose -3*a = -3 - c. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11628 or -11626?\nAnswer: -11628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 7 + 4 + 1 + 0*q - 3*q. Let g be m(-4). Let b = 9 + g. Solve -10 = b*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4321 and -9959091.\nAnswer: -9963412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9142*(-11)\/(-77) + (4 - -3) is divided by 1310.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - ((-3 - -2) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-612)\/48 - (-1 - -3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -3, 0.09, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/297 and -46\/407.\nAnswer: 10989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1005 + 202b?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17*g**2 + 13. Let b(n) = 4*n**2 + 3. Let x(p) = 26*b(p) - 6*c(p). Let u(m) be the third derivative of -m**5\/12 - 89*m**2. Give x(u(i)).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3584763590 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f. Let x(s) = 6*s**2 + 422*s. What is i(x(m))?\nAnswer: 54*m**2 + 3798*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + 2440\/8589. Let o = u - -4930\/13497. Solve -4\/11*g + 0*g**2 + 2\/11 + o*g**3 - 2\/11*g**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186773417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 24, 24.3, 0.5, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 44 = v. Let s = 27 - v. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*y - 147 = 183, 4*y = 3*p + 212. Let c = p - -67. Is (c\/(-2))\/(6\/(-125916)*-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 293.5 and -22.\nAnswer: -6457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 67. Let i be d(-15). Let k = i - 168. Solve t + k*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2084 or -2083?\nAnswer: -2083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/288*-32*(-10)\/100?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -1, -2, -134180?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 63. What is z(-46)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 395*g**2 - 3721*g - 49669. Give v(385).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264637.\nAnswer: 3, 53, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4761 - -4760 - (-25)\/7.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 14, 28, 58, 110, 190?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 8:37 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35871, -35870, -35869, -35868, -35867?\n\"Answer: d - 35872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/6657 and -35\/11.\nAnswer: 73227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 5*k**2 + 11 - 53*k + 9 = 0. Calculate k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -45. Let w(u) = 602*u + 12741. Let q be w(-21). Calculate the greatest common factor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63627.79 kilograms to grams.\nAnswer: 63627790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (1 - (-12)\/(-4)))*-1. Let h be (-2 - 1)\/(-8 + j). Solve -h*l = -2*z - 0*z + 5, 10 = -2*l - 2*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5\/6, -0.1, -2\/3, -263?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14553766.\nAnswer: 2, 29, 59, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 != 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 2457840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -728.07 - -731. Let z = 52 + -51.93. Let o = u + z. Which is the smallest value? (a) o (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-12 - 3) - 0) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 4)\/(2\/5). Suppose -9*m - 6 = -d*m. What is c in -27*c**3 - 19*c**2 + 10*c**4 + 29*c**4 + m*c + 16*c**2 - 15*c**5 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 24*x - 6 = 0. Let k be 2\/6 + 62\/(-6). Let t be (-56)\/66*15\/k. Which is bigger: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.3 plus -38056?\nAnswer: -38041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-3)*1 + -3. Let x = r + 14. What is the remainder when 17 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -48*o**2 + 0*o + 28*o**2 + o**3 + 5 + 2*o + 24*o**2. Determine h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 32*p**5\/15 + p**4\/12 - 22*p**2. List the prime factors of x(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -235 = -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j + 236. Calculate the remainder when r(0) is divided by (-4 - 136\/14)*7\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, f: 12}. Give prob of sequence iif.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 13. Let i be w(11). Let b = 3 + i. Suppose 5*p = 2*z - 5*z + 1530015, -b*p = -15. What is z rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*o**5 + o + 20*o**5 + 0*o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679300979 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -6 (b) 4\/3 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 64, 87, 110?\n\"Answer: 23*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31997, 127979, 287949, 511907?\n\"Answer: 31994*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 41*m**2 - 21*m + 773. Give r(-40).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -8, -42, -112, -230, -408, -658?\n\"Answer: -2*v**3 + 4*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -1464?\nAnswer: -17\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 240*a**2 + 3695*a + 51115. Let o(m) = -17*m**2 - 264*m - 3651. Let r(q) = 6*l(q) + 85*o(q). Factor r(j).\nAnswer: -5*(j + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhehhhhhee. Give prob of picking 2 h and 1 e.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 3*x**2 + 2*x + 2. Give k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5255? (a) -5 (b) 3.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 27447.\nAnswer: 686175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 14. Calculate the smallest common multiple of 16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 - 3*t - 7. Let o(l) = -l**2 - l - 1. Let u(x) = 5*o(x) - w(x). Let a be u(3). Suppose 4*r = 5*r - a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 + -1114465?\nAnswer: -1114242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 84, 117, 132, 123, 84, 9, -108?\n\"Answer: -t**3 + 52*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16448 + -10815. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7776.762 millilitres to litres.\nAnswer: 7.776762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102 - 2010122001212?\nAnswer: -2010121201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4804*d**2 + 13*d - 8. Is 21 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7875 and 81.\nAnswer: 70875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 161 = -33*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 113 - 2 = 116. Solve 31*s - g*s - 80 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1719\/6 - 9\/18. Suppose -20*o + j = -34. What is the highest common divisor of o and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-39*20\/(-4030)))\/((-4)\/(-6))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, 1 n, and 1 m when four letters picked without replacement from {j: 2, n: 1, u: 1, e: 1, m: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a + 7 - 3*a**2 - 5 + 0*a. Let s be u(-3). Solve -4*c + 5*i + 4 = 1, s*c - 4*i + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8 - -9)*(754 + (-3)\/(-3)) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1038)\/(-75) - 9012\/(-56325).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10796 and 5668.\nAnswer: 15297932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48484 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*q - 281 = 4*j + 291 - 491, 5*q - 540 = 37*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*a + 4, f - 31*a - 17 = -24*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20289998, -40579997, -60869996, -81159995, -101449994, -121739993?\nAnswer: -142029992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 8*v. Let o be z(-4). Suppose o*m - 20 = 2*i + 4*m, -4*i - m - 40 = 0. Which is bigger: -11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.002 less than or equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -12\/7, 1, -0.708, 3, 0.2, -1?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 1746?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136650 to the power of 1\/2, to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 30 = 5*t. Let j = -4 + 8. Suppose -w - j*w - 5*i + 35 = 0, -4*w + 5*i = -19. What is the remainder when t is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)\/(o\/o**(2\/9)*o)*o**(-7)*o*o**(-4) assuming o is positive.\nAnswer: o**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5698*b + 2859*b + 2839*b + 4*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-12)\/(-5). Suppose p = 2*q - 0*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) - (sqrt(90)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 + 639\/2 + 5. Is z - 1 - (-27)\/9 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10*p*p**0*p)**(-31)\/(((p\/p**(-1\/2))\/p)**(-50)*p\/(p*p*p**6*p)*p**(-1)) assuming p is positive.\nAnswer: p**(-338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2145041*b**5 + 6668*b**2 - 12*b + 3 wrt b.\nAnswer: -128702460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.20907.\nAnswer: 1.20907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhwe when four letters picked without replacement from {f: 2, h: 2, w: 2, p: 1, a: 1, e: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -288, -339, -420, -531, -672, -843?\n\"Answer: -15*h**2 - 6*h - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*x - x + 9 = 0, -2*x = 3*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27408271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - f**2 + 22*f + 23. Suppose -3*i - i + 40 = -4*o, 3*i = 12. What is the tens digit of w(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/59280 and 41\/2964.\nAnswer: 59280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - 0.98. Which is the second smallest value? (a) 2\/9 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**2 + 8*g + 12. What is the units digit of d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 31 + 12 + 34 - 5*y**4 as g*y**4 + f*y**3 + p*y**2 + x + m*y and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let a be s(-11). Let d(x) = x**3 - 4*x - 11. Let z(f) = -f - 2. Let c(h) = a*z(h) - 2*d(h). Find the second derivative of c(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 + 66 + 55 + (-142)\/(-10))\/(2\/460).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*s + 3*m - 8, 0 = -4*s - m + 7. Let k(x) = -3*x**2 - 2*x**2 + 6*x**s. Let q(b) be the third derivative of -b**5\/60 - 2*b**2. Calculate q(k(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-4372 - 4292 - 4495 - 99*u + 13393) in the form h + x*u and give h.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6258139 + -11158139. Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/97626168 and -35\/12203271.\nAnswer: 97626168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/7917113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:26 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5 + 17. Suppose -n*m + 7 + 9 = 0. Solve 2*l - m = 2*r + 4, 3*r = -3*l + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -115*m - 234. Let a(b) = 2295*b + 4680. Let y(c) = -4*a(c) - 81*w(c). What is the units digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 + 275 = -3*q. Let t = q - -119. Let i = -15 - t. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000076225312 rounded to seven decimal places?\nAnswer: -0.0000762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r. Let b(m) = 26896*m. Determine b(c(h)).\nAnswer: -80688*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00893825 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4691171*n - 4691169*n = 4*q - 14, n = -q - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -1)\/(66\/(-220)). Let r(q) = q**2 + 4*q - 38. Calculate the smallest common multiple of 6 and r(j).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + 0 + sqrt(45) + -4 - (-2 + 3*(sqrt(45) - sqrt(3645)) + -3))**2.\nAnswer: -300*sqrt(5) + 28129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 l when four letters picked without replacement from zlldllzdddzl?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k - 20, 3*k = -4*t - 75. Which is smaller: t or -63\/4?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 11*q + 8. Suppose -17*t + 16*t = 11. Let a be n(t). Suppose 13*l - 15*l = -a. Solve -p + l = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -5) + -5 + 3 + 0. Let q(s) be the third derivative of -s**6\/60 - s**4\/12 - 4*s**2. Let g(w) = w**3 + 3*w. Give i*q(o) + 2*g(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2893*h*i**2 + 8*h*i - 3*h + 4*i**2 + 100745 with respect to i.\nAnswer: 5786*h*i + 8*h + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 2 b when four letters picked without replacement from dssszbdszbzsdddssz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -2303?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 10\/7 (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 342077605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*k*m**3*n + 2*k*m**3 + 160*k*m**2*n + 2194*k*n + 3268*m**3 - 6*m**2 wrt m?\nAnswer: -60*k*n + 12*k + 19608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*o**2 - 12*f + 360233*o**3 - 18743 with respect to o.\nAnswer: 4*f*o + 1080699*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 61*u + 11930 = 448352. List the prime factors of u.\nAnswer: 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77029.\nAnswer: 77029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-3)\/(-6). What is the remainder when (-5 - t)*(-26)\/4 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.7 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -2\/3*w**3 - 1\/10*w**5 + 0 + 8*w**2 + 1\/4*w**4 + 14359\/120*w**6 + 0*w. Let p be x(14). Round p to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41977680 and 228?\nAnswer: 797575920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122011 (base 4) in base 9?\nAnswer: -14466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12586107.4 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1834218 and 53\/18.\nAnswer: 1834218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b**4 - 47*b**4 - 54*b**4 - 14*b**4 + 183*b wrt b?\nAnswer: -1236*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525408*0.06\nAnswer: 31524.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40837772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32232 + 3.\nAnswer: 32235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (576\/32)\/(13\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12411508 and 0.031.\nAnswer: 12411508.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/(i\/i**11))\/(i**8*i**(-16)*i) assuming i is positive.\nAnswer: i**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**5 - 2*d**5 + 0*d**5 + (2*d + 1 - 1)*(-1654*d**4 - 290425*d**3 + 290425*d**3).\nAnswer: -3317*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -796, -3104, -6932, -12280, -19148?\n\"Answer: -760*b**2 - 28*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 122598*q**2 - 122602*q**2 + 245200*q**2.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.85 + -1.31. Let i = 633.6 + -638. Let x = c - i. Round x to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxsgxesosxsxoxsxgxs. What is prob of sequence gxo?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378.22 meters in kilometers?\nAnswer: 9.37822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3653 and 109309.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - u**4 + u**3 - 6 + 3 + 30*u to g*u**4 + l*u + b*u**3 + c + d*u**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 5*t + 7. Let b be m(-5). Suppose -3*z = z - b. Suppose 3*d + 2*i - 34 = -0*i, z = 3*d + 3*i. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d + 14808 - 61400. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let t(v) be the third derivative of 8*v**4\/3 + 16*v**3 + 415*v**2 - 2*v. Calculate 96*r(y) + t(y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9456278*s**5 - 5352910*s wrt s?\nAnswer: 189125560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-288)\/(-99))*(-3)\/(-6)*8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 30*q = 68 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*c + 1 - 95*c + 1127*c**2 + 376*c**2)*(-4*c + 3*c + 0*c) as h*c + t + z*c**3 + j*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 + 2 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034354 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -140*w**3 - w**2 - 307 - 57 - 114*w**3 wrt w?\nAnswer: -762*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 111. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.1 + -7. Let l = d - -8.9. Let s = -9 + l. Which is the nearest to -2\/7? (a) s (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*h**4 - 4*h**3 + 2*h**2 + 6806*h.\nAnswer: 564*h**2 - 24*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11023341 * -0.4.\nAnswer: 4409336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319140 is divided by 1297.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 1820. Suppose a - 5*a = -s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 3*l - y, -3*y = -5*l + 20. Suppose 0 = -3*z + l + 17. Find the first derivative of -1 - 5*h**2 - 3*h**2 + z*h**2 wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8111, 16199, 24295, 32405, 40535?\n\"Answer: n**3 - 2*n**2 + 8087*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose y*m = -5*i + 3*m + 148, 2*i = 5*m + 73. Let o = 79 - i. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 91844330267.\nAnswer: 91844330267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*n - 158*n + 172 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, -2, 3389, 34 in ascending order.\nAnswer: -5, -2, 1, 3, 34, 3389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 + 4*j**4 - 125236*j**3 + 1673903*j**2 + 2*j + 2.\nAnswer: 120*j**2 + 96*j - 751416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 2*k - 4. Let c(i) = i**2 + i + 5. Let n(j) = -2*c(j) - 3*y(j). Let u(v) = 2*v**2 + 9*v + 4. What is 7*n(q) - 3*u(q)?\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 + 12*y + 4. What is d(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26948398 and 3.\nAnswer: 80845194","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627031282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/21 + (-4)\/6. Let d(v) = -v + 0*v + 0*v + 10. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1336 - -1336. What is the nearest to k in -2\/13, -4, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + (-6 - (-5 + 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h + 22. Let v be r(-6). Is -4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by ((-42 - -1) + 1)*(-79)\/316.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 2*g**2 + 2*g**2)*((628*g + 860*g - 267*g)*(-3 + 1 - 3) + 10*g - 6*g + 6*g) as l + o*g**3 + u*g + j*g**2 and give o.\nAnswer: -12190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*w - 7. Let o = -6 - w. Suppose -o*p + 455 = 2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -3\/5, 744.\nAnswer: -3, -3\/5, 0, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + z**5 + z**5 + (-z**2 + z**2 - 2*z**3)*(3*z**2 + z**2 - 6*z**2) - z + z**5 + z - 23*z**5 - 60*z**5 - 134*z**5.\nAnswer: -214*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93186505?\nAnswer: 5, 179, 104119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.747 - 4.53185. Round b to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 7*j - 7*j)*(0*j + j - 3*j + (-5*j + 4*j - j)*(4 - 5 + 3) + j + 0*j + j).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (2 - 5))*-3. Let w(u) = 2*u - 5*u + 1 + 3 - u**2. Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-3)*a)\/a**(-2\/7)*((a\/(a\/(a*a**(2\/3))))\/a)**(1\/52))\/((a*a*a\/(a\/a**(1\/2))*a)**(-12\/11))**(5\/12) assuming a is positive.\nAnswer: a**(8677\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 2, 10, 15, -3, -11, 1 in increasing order.\nAnswer: -11, -3, 1, 2, 10, 15, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108056019*a**2 + 4966676.\nAnswer: -216112038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2 - 0)\/(-2). Let u be -2 + 13 + r - -1. Solve -3*b = 5*c - 0*b - 3, 3*b = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1. Let l be r(6). Suppose 4*y = 3*x + 3*y + 25, -x = -l*y - 1. List the prime factors of 32 + x\/12*-4.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 4 + -12 + 6. Let q(a) = 42 - a**3 - a**2 - 85 + y*a**3 + 47. What is q(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/4 + 1\/(-4). Suppose w*z - 8*z = 0. Let i be 4\/(-5) + 1 + z. Put i, 1\/4, -3 in decreasing order.\nAnswer: 1\/4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*z - 120*z - 30 = 0. Let k be (-5 - (12\/4 + -4)) + z. Suppose 0*y - 5*y = -20. Solve k + 3 = y*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 26*o**2 - 181*o - 7. Let r be b(7). Solve -t - 7*t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-three eighths of a hour?\nAnswer: 28350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = 46*n + 93 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11664*r**5\/7 - 109944*r**4\/7 - 1883855*r**3\/7 - 665853*r**2 + 384336*r - 351424\/7 = 0. Calculate r.\nAnswer: -136\/27, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.1 + -6. What is the third smallest value in u, -0.08, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.063 - -52.063. Let l = m - 52.1. Is l bigger than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 3, -4, 38, 0 in increasing order.\nAnswer: -16, -4, -2, 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11775693 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*d**2 - 2 - 62*d**2 - 86*d**4 + d**2 wrt d.\nAnswer: -2064*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*d + 4*d - 16*d as g*d + t and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5212.208742 - 0.40472.\nAnswer: -5212.613462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 16*w - 20. Is x(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**(-4\/7)*(f*f\/f**(-3\/7))**(-37))**22 assuming f is positive.\nAnswer: f**(-13750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 106.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:24 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 11. Let y be f(-7). Suppose -91 = -9*i + 44. Solve -k + i = 4*l, 4*k - 8 = -y*l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 10*a - 3000. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 20944910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -8980\nAnswer: 2\/2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71033440139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2462*p + 1362*p + 33*p**2 - 626*p - 186*p + 1 - 35*p**2.\nAnswer: -2*p**2 + 3012*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from yccctytbyattcan?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 671*((-3)\/14)\/((-10230)\/2170).\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 12 = 2*a, -5*h + 22 = 3*a. Is a >= 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a. Let v(h) = 1446*h**2 - 2894*h**2 + 50 + 1447*h**2 - 8. What is v(o(n))?\nAnswer: -196*n**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8 and -75\/26968?\nAnswer: 26968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101438206 divided by -6.\nAnswer: 50719103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 362178 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*j + 5, 3*j = -3*v - j + 3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 196, 400, 666, 1006, 1432, 1956, 2590?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130400 = 589*j - 585*j. What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**41)**(12\/11)\/(f**6*f\/f**(-3\/7)*f*f\/f**(-2\/5)*f**(-1)) assuming f is positive.\nAnswer: f**(-20619\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*d**4 + 2*d**2 - 33*d**4 + 4*d**4 + d - 1 + 14*d**4 in the form f*d**4 + g + s*d**2 + b*d**3 + m*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/15*(-12)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1864*f + 22397. Determine t(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8268235 by -1653647.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n - 160. Calculate the remainder when x(26) is divided by -3*(0\/1 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173878 by -2.\nAnswer: 86939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8653853 times 0.4\nAnswer: 3461541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let s(j) be the second derivative of 3*j**3\/2 + 13*j. Give s(y(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -2. Let m = t + -2. Which is the third smallest value? (a) -0.5 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 8 + -10 + 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 798069\nAnswer: -399034.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 538730 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8540497 centuries in years?\nAnswer: 85.40497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-63)\/(756\/(-99600)))\/(2\/5).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*j - 59600 = -264*j. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*1*4.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2691.119cm?\nAnswer: 0.02691119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 3*z + 5. Let f be j(2). List the prime factors of 1 + 0 + f - (-1 - 159).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18797.\nAnswer: 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 163.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**4 + 29\/3*a**3 + 146\/5*a**5 + a**2 + 0*a + 125. What is the third derivative of j(b) wrt b?\nAnswer: 3504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1*sqrt(171)*-1 + sqrt(171) + sqrt(171))\/(sqrt(1089)*-2 + sqrt(9)) - (2 + (-2*sqrt(19))**2 + sqrt(19) - sqrt(19)*2*2).\nAnswer: -78 + 61*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 54*d + 128. Let p be x(-3). Sort -1, p, -52, 0 in descending order.\nAnswer: p, 0, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-6) - 4\/6. Let d = -3 + 1. Let u = 22 + -21.7. Sort u, y, d.\nAnswer: d, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4955 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 9. Calculate x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 22.6 (b) 102 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231356*j**2 + 231204*j**2 - 464541*j**2 - j**3 + 10493*j wrt j?\nAnswer: -6*j - 3962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -229. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 4 (c) -1 (d) 0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 367.9368 kilograms?\nAnswer: 0.3679368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2062 - -4025\/2. Let d = 77\/3 + n. What is the common denominator of -101\/28 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.5. Let k = -61\/30 + 17\/6. Let z = -0.08 + -2.92. What is the nearest to r in z, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdrsdsdzzz. Give prob of sequence zd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 130. Is 11\/8 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/10)\/(4\/10). What is the third derivative of -3*n**3 + 4*n**t + 15*n**2 - 17*n**3 wrt n?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(44) + sqrt(4400)*-5)**2 + 3.\nAnswer: -1176*sqrt(11) + 105683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18627?\nAnswer: 3, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 4. Let w(f) = -2*f - 3. Let v = -1 + 5. Suppose 4*l = 2*a + 8 - 2, 2*a - 10 = -4*l. Let g = a + v. Determine g*x(u) - 7*w(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1644)\/1092 + 56\/728.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - 18\/(-12). Let u(y) = y**3 - 3*y**2 + 2*y - 1. Let j be u(2). What is the units digit of (j + n)\/(2\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by 4.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 3*z**3 + 29*z**4 + 3*z**2 + 4 - 93*z**4 + 35*z**4 + 30*z**4 to the form r*z**2 + c*z + t*z**3 + g*z**4 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126695?\nAnswer: 5, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 26*q + 145. What is b(0)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -50*g**4\/3 + 110396*g**3\/9 + 1118344*g**2\/9 + 2715344*g\/9 + 23872\/3 = 0.\nAnswer: -6, -4, -2\/75, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9813 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 215*d - 216*d - 20.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 3*g)*((-2*g + 4*g + 0*g)*(2 + 0 - 3) + 0 - 4*g + 0 + (-1 + 3 - 3 + 5*g)*(-3 + 1 + 4)).\nAnswer: 8*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.6 (b) 0.4 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899 and 301426?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijgjib. What is prob of picking 1 j and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62a1 - 6?\nAnswer: -62a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5733 rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40531 is divided by 7976.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 177262, 177195, 177124, 177049, 176970, 176887, 176800?\n\"Answer: -2*p**2 - 61*p + 177325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82959 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 1 - -2 - 11. Let v = x + 32. Calculate the smallest common multiple of 7 and 5 - (-2 + v\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/12 - -365\/132. Let x = -5 + 5. Which is the fourth biggest value? (a) t (b) -0.05 (c) 0.5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 491019.05 and -0.5?\nAnswer: -245509.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = x - 50, -l = -4*x - 0*x + 295. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207912299?\nAnswer: 7, 29701757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a + 17 - 202 = 183 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:06 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - c + 8 = -3*c, 5*t - 32 = c. Is 18\/42 - (-1474)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -784 times 4\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, 4, -298, 5 in descending order.\nAnswer: 5, 4, -1, -15, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 10*g - 9. Solve 3*h + 10 = g*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -2.27493?\nAnswer: -13.64958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17818 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458426.\nAnswer: 2, 3, 31, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 8*f - 20, 32 = 5*o - 77*f + 74*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(37\/148*4\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 31, 7, -4.\nAnswer: -4, 3, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 1015*a - 1015*a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*j*l - 8*i**2*l*n - 6*i**2*l + 2*j*l + 291*j*n + 3*l*n with respect to j.\nAnswer: i**2*l + 2*l + 291*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2811.244209 - -12.\nAnswer: 2823.244209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10920 divided by 65?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + -3 + (-5 + sqrt(80)*-2 - sqrt(80)) + sqrt(80) + -2*sqrt(80) + 2 + -3 + -2))**2.\nAnswer: 5632*sqrt(5) + 22416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1449677*l**6 - 57*l**2 + 563*l + 17 wrt l?\nAnswer: 173961240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/15 - 559442*b**4\/15 - 7822761214*b**3\/3 + 378227128238*b**2\/5 - 417415646400*b - 2003457600000 = 0.\nAnswer: -139875, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaa when three letters picked without replacement from mvavmmaamvmmgazv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 6*j)*(-2*j - 3*j - 3*j) + (1 - 1 - 2*j)*(-j - 3 + 3) - j**2 - j**2 + 0*j**2 + (j - j + 2*j)*(2*j + 2*j - 7*j) - 14 + 9*j**2 + 14.\nAnswer: -53*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17094 + -17093.978211. What is q rounded to 4 dps?\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 + 17*c**5\/60 - 11*c**4\/24 - 17*c**3\/3 + 10*c**2 - 3. Is q(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 19. Let y = 24 - n. Are y and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q**2 - 4*q. Let i(y) = -4*y - 12. Let r be i(-7). Let h = 11 - r. What is s(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 244 = 6*b. Let q = b - -47. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6776000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + (-3 - 1) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -17. Let v(x) = x + 16. Let c be v(-9). Factor -6*t**3 - 2*t - 3 - 4*t**m + c*t**4 + 8*t.\nAnswer: 3*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 0*o + 36. Let c(x) = x + 1. Let m(u) = -3*u + 2. Let y(r) = -4*c(r) - m(r). Give y(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 74, 10, 1\/2, 1 in increasing order.\nAnswer: 0.1, 1\/2, 1, 10, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22375.55789828 - 22408.5579. Let h = -33 - r. Round h to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210)*4 + sqrt(80)\/(-1*sqrt(8)) + sqrt(10))\/(sqrt(50)\/sqrt(250) + sqrt(405)*3 + sqrt(5))*3)**2.\nAnswer: 96800\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1888 and 14476122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 3*o**2)*(-12*o**2 + 13*o**2 + 25*o**2) + 51*o - 51*o - 9*o**4.\nAnswer: 69*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6690706 and -31\/6.\nAnswer: 20072118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3157 + -3120. Which is smaller: y or 83?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-316)\/237)\/((-7)\/6*56\/(-147))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 378?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -31022?\nAnswer: -31028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-2 - sqrt(19) - 3*sqrt(19)*1)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 - 3*o - 2. Let x = -23 - -40. Suppose a - x = -5*g, 2*g - 4*g + 20 = -4*a. What is the units digit of i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -3 (b) -4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 7, r: 3, v: 1, s: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose k*d = 240 + 105. Suppose -5*j - 5*u = -d, -4*j = -2*u - 11 - 51. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*j**3*p**2 + 157*b*j**3*r - b*j**2*r + 40*b*r + 2*j**3 + j**2*r - 2*j*p**2*r wrt j.\nAnswer: -6*b*p**2 + 942*b*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/19805 and 16\/52425.\nAnswer: 891225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0\/(7 + -3). Let t(x) be the third derivative of 0*x + 1\/24*x**y + x**2 + 1\/6*x**3 - 1\/60*x**5 - 1\/120*x**6 + 0. Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 10*c - 1 - 9 + 3 wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4 + 14\/(-28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 + 6*s - 7. Let x be f(-7). Let d be 0\/4 + (3 - x). Calculate the highest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 208800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 9, -162, -479, -990, -1743, -2786, -4167?\nAnswer: -5934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 16*n + 5*n + n - 11*n. Let z(o) be the third derivative of o**5\/20 + o**2. What is z(a(y))?\nAnswer: 1083*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9380 - -13881. Does 81 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 44558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 0*k**5 + 0*k**4 - 8\/3*k**3 + 0*k + 0*k**2 + 17\/6*k**6 + 28. What is the third derivative of m(n) wrt n?\nAnswer: 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 3, k: 1}. What is prob of sequence kwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 8711610.\nAnswer: 8711610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33023003 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 574504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 72124*y - 27697292.\nAnswer: (y - 382)*(y + 72506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 9:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(833) + (-2*-1*sqrt(833) - sqrt(833) - sqrt(833)) + sqrt(833) + sqrt(833) - 6*(2 + sqrt(833))))**2.\nAnswer: -68769 - 4536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88 or -94?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 392, 406, 420, 434, 448?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -24 + (2 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 + 4*c**2)*(-2*c - 4*c + 5*c)*(2 - 1 + 3)*(1 + 2 + 1).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/21)*s)**(17\/4)*(s\/(s\/(s\/s**(-2\/3)*s))*s)**(-2\/15) assuming s is positive.\nAnswer: s**(4229\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 1, e: 6, d: 3, y: 1}. Give prob of sequence yssd.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1149\/10 at most -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21154176\/11 - -1921293. Let j = 1812 + v. Is -0.1 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9410, -10388, -11364, -12338, -13310, -14280?\n\"Answer: t**2 - 981*t - 8430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(325)*1 + sqrt(325)) - (sqrt(325)*4 + sqrt(325))*-2)**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4 = 2*w, -l - 100 = 3*w - 106. Suppose 0 = 5*g - 4*i - 7 - 148, 0 = -5*g - 4*i + 195. Solve w*p - 9*p = -g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + 3\/3)*-1. Let v be g\/(-27) + 2\/9. Let y(z) = -6*z**3 + 3*z**2 + 3*z + 4. Let i(x) = -x**3 + x**2 + x + 1. Let o(t) = -3*i(t) + y(t). Give o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f + 5*q + 227805 = 0, 2*f - 4*q - 91122 = 0. Suppose -19*d = -16*d - f. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - 3*c, -3*c = 2*c. Let z be u\/(-2) - 39\/(-30). What is the biggest value in -2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3007 - -18.6443. Let v = 0.835 + h. What is v rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {g: 10, l: 1, m: 5, n: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000961 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-17 - -5)\/((-1 - -1) + -2) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/((-2162)\/115 + 19) and 6315.\nAnswer: 6315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q + 92*q - 4024 - 36*q + 1396 - 23*q.\nAnswer: -2*q - 2628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1291 = 4601. Let y = -1030 - k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10681 is divided by 725.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n**2 - 143*n - 16. Let j be m(-5). Let k(r) = 9*r**3 - r. What is k(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321333866 rounded to the nearest 1000000?\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*h**5 + 67601*d*h**4 - 2*d*h - 17702*d + 16*h**2 wrt h?\nAnswer: -180*d*h**2 + 1622424*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**3 - 88*m**2 - 39*m + 220. Is q(-20) a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/10 - 1\/(-2). Suppose 0 = x - 12*x - 17*x. Which is the closest to x? (a) z (b) 0.1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/5 and -61\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*v + 16*v**2 + 4682*v**3 + 0 - 4686*v**3 + 8.\nAnswer: -4*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/45*9*125\/(-50)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.166 + -0.166. Let j = -19\/7 + 69\/28. Put j, s, 3, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a)**(-2\/117)*(a*a\/a**(-4))\/a*a\/a**(-3\/7)*a*a)**(-4\/3) assuming a is positive.\nAnswer: a**(-27668\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 0*y**3 - 6 - 6*y**2 + 0*y + 0*y**4 + 1\/2*y**6 + 0*y**5. Find the second derivative of k(o) wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 4*m**2 + 4*m - 3 + 0*m**2 - 2*m**2 + m**2. Let k be p(4). Which is the third smallest value? (a) k (b) 0.2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2928793 to the power of 1\/2, to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 9*l**2 - 4*l + 31. What is o(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 6*a - 24, 5*c - 13 = -a + 20 - 33 + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*k - 1 + 2, -5*k = -2*i - 5. Let s be (-3)\/(-9) - 7\/k. Suppose -540 = 18*j - 540. Sort 3, j, s in decreasing order.\nAnswer: 3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide -68*((-25)\/2 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/40 + s**4\/3 - 3*s**2\/2 - 6*s. Let w(m) be the first derivative of d(m). What is the second derivative of w(u) wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649886999.\nAnswer: 17, 1657, 23071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -3.4 (c) 8.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285382, -570760, -856138, -1141516, -1426894, -1712272?\nAnswer: -1997650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.161 (b) -10 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 11) in base 7?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 6*u**2 - 8*u + 12. Let w be ((-510)\/(-24))\/(1\/(-16)). Let a = 345 + w. Give h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -60, -116, -198?\n\"Answer: -13*m**2 + 9*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*q - 1248*q - 82*q**3 - 187*q**3.\nAnswer: -269*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134956033.\nAnswer: 5501, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 24*x + 92 + 0*x**3 - 2*x**3 + 2*x - 105 + 4*x - 10*x**2. Let s be k(-9). What is the highest common divisor of s and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 2 + 2 + -16 + (415 - 406).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*s + 8558 = -167*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50385996810 to the nearest one million.\nAnswer: 50386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogo when four letters picked without replacement from {g: 3, o: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 26*g**2 - 3*g + 24*g**3 - 22*g**3 - 14.\nAnswer: 2*g**3 - 21*g**2 - 3*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75778 or -75788?\nAnswer: -75788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3843 and 319?\nAnswer: 1225917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -29) + 4 - 4. Let o = j - -2. Is (-4)\/10 + 97842\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:04 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**2 + 19*l**2 + 4*l**2.\nAnswer: 43*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11125 - 12?\nAnswer: 11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-3)*(-18)\/(-495).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z = u - 197, 5*u = -4*z + 166. Suppose 0*q + 7 = -q - 5*f, 25 = q - 3*f. What is the greatest common divisor of q and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 2310216?\nAnswer: 16171512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (141\/6 - 2)*2?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 20323.\nAnswer: -6\/20323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 485*k - 208. What is the hundreds digit of u(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 6*i. Suppose 5*p + 33 = o, -5*o + 3 = 3*p + 6. Let l(d) = -4*d**2 + 5*d. Give p*l(y) - 5*c(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 7, m: 1}. What is prob of picking 3 l?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(245)*-5)\/sqrt(7))\/(-2*1*sqrt(567) - sqrt(567) - sqrt(567)).\nAnswer: -4 + 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7600*l + 13. Determine d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*2\/(-35)*5\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00115264 to 6 decimal places.\nAnswer: 0.001153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*w**3 + 8 - 7.\nAnswer: 2*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -21)\/(-1) + 1. Is -23 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532 + 366. Let l = 829\/5 + z. Is l smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3\/50152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*d*s**2 + d + 9*s**2 - 3100*s wrt s.\nAnswer: -274*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3))**0)**(-23))**(-1\/3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1\/5 (c) 2\/25 (d) -5370.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -102?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3994 * -0.07\nAnswer: 0.027958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5537362.5 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/87 and 8\/25797 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 0, 4*r - 10464 = 65*y - 69*y. What are the prime factors of r?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.456412 weeks in hours?\nAnswer: 748.677216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0671 and 19\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-14)*14\/(-4). Suppose -l = g + 2*l + 3, 2*g - 10 = p*l. Calculate the greatest common divisor of 24 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126\/5 - 25. Let q(j) be the first derivative of 0*j + 0*j**4 + 0*j**2 - 3 + t*j**5 - 1\/3*j**3. Find the third derivative of q(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*y - 1)*(4*y**2 - 4*y**2 - 2*y**4 + (0*y**3 + y**3 + y**3)*(4*y - y - y) + 6*y**4 + 33*y - 33*y - 2*y**4 - 3*y**4 + 7*y**4).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 = -3*z - 0*m - 5*m, 2*m = -4*z - 1342. Let w = z - -339. Factor 1\/2 + y + 1\/2*y**w.\nAnswer: (y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601809, 1203614, 1805419, 2407224, 3009029, 3610834?\nAnswer: 4212639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.423 - 386.423. Let f = -385.9995925 - k. Round f to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 138 = -3*p - 82, -5*p + h + 11126 = 11492 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -14 - (-33 - (-93 + 41)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*z = -29221750, 4*z = i + 4*i - 146108750. Let l = -18121750 + i. Round l to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -66*v + 43*v + 14*v. Let j(n) be the third derivative of n**4\/24 + n**2. Determine 22*j(l) + 2*o(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 122*n + 1608. Determine a(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.45 and -3827.\nAnswer: -3797.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 411515040 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 3*g, 5*g = 2*d + 2. Suppose -2*z + 10 = -4. Suppose d*q = z + 5. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**2\/2 + 2*g - 4. Let v be w(3). Suppose -3*k - 103 = -4*z - 6*k, -v*k + 91 = 3*z. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6367465, 6367464, 6367463?\nAnswer: 6367462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(-1\/14))**(-2\/5)*(t**(-6)*t\/t**2)\/(t**(-6)*t**2*t*t) assuming t is positive.\nAnswer: t**(-173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*h - 242*h + 1003 = 197*h. Calculate the remainder when 216 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 87*(35\/3)\/7. Let s = p + -109. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:02 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61015766*u + 30507983*u + 30507798*u + 2.\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 56. Let x be ((7850\/v)\/1)\/((-26)\/(-1092)). What is x rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c**2 + 1\/2*c**4 + 0*c - 1\/4*c**3 + 0 - 1\/4*c**5 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95592 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 602 - 344. Let x = f + -184. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -147\/2. Is p less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h. Let x(t) be the second derivative of -t**5\/20 - t**3\/2 + 572*t. Let g = 3 + -1. Give g*x(n) + 6*i(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224261 + 46?\nAnswer: 224340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70080 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -192\/5*j - 4\/5*j**3 - 256\/5 - 48\/5*j**2 = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 292\/9*b**2 + 16 + 4\/3*b**4 + 116\/3*b + 100\/9*b**3 = 0.\nAnswer: -3, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37210 - 18492. What is the tens digit of k\/13 + (-7)\/((-1456)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32970818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84573, -168876, -253179, -337482, -421785, -506088?\n\"Answer: -84303*b - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - 5*p)*(0*p**2 - 2*p**2 + p**2)*(4*p - 3*p - 3*p)*(238*p + 4742 - 4742).\nAnswer: -952*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 2956658275101 and 0.4.\nAnswer: 2956658275101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 52 + 88 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + 14)*(211059\/6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745.889 rounded to the nearest ten?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-2))\/(-2) - (0 + -2). Suppose -4*m = 5*j + 1 - 25, -d*m + 8 = j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -144*j + 5. Let r be h(-4). Let z(u) = -u**2 - 48*u + 48. Let b be z(-36). Let f = b + r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihhihaiaxiiyih. Give prob of picking 1 i and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 3883, 8627, 15103, 23209, 32843?\nAnswer: 43903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, y: 2}. What is prob of sequence ryry?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 1\/12*w**4 + 6*w - 1 - 1\/2*w**3 + w**2. Let c(b) be the first derivative of o(b). Factor c(u).\nAnswer: (u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4))**(-1\/4))**2 assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x + 40*x - 17*x)*(-2 + 0 + 3).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -106599924 - -0.5?\nAnswer: -106599923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*m*o**2*v + 3*m*o**2 + 3*m*o*v + m*v + 3*o**2*v + 3*o - 19 wrt o?\nAnswer: 108*m*v + 6*m + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 5, z: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let d be o(0). Solve d = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*u + 642*u = 2255 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12689 + 4326 = -211*l + 2664 + 9440 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6975771\/7 - -180829037\/182. Let u = -2975 - o. Let t = -141\/143 + u. Find the common denominator of -79\/14 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + 0) - ((-13 - -49) + -41).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 19*u + 16. Let r be o(2). Calculate the highest common factor of 90 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*u - 34 + 242, u = -i + 68. Let y = 27 + -19. Calculate the greatest common divisor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/75*2\/2*-1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -60*z**3 + 20*z**2 - z + 22*z**3 - 18 + 21*z**3 + 18*z**3. Let w be y(-20). Solve -20 = -w*q - 4*x, x = q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*s - 21 + 5, 0 = 3*v + 2*s - 12. Suppose -5*q + q = -12, 0 = -3*c + v*q - 6. Suppose 7*h - c*h - 110 = 0. Is 23 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653162 (base 8) in base 5?\nAnswer: 110342012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/985 or 3.0582?\nAnswer: 3.0582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -21 + 0*w + 0*w - 4*w + w. Determine h(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 214948, 215060, 215172?\n\"Answer: 112*c + 214836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-198)\/(-4))\/11*5\/45. Let u(n) be the third derivative of 0*n + 6*n**2 - x*n**3 + 1\/24*n**4 + 0. Differentiate u(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545.61874 rounded to the nearest ten?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078.281152 rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*j + 896 = -291*j. Suppose -36 = 41*y + j. Put -1\/5, 3, 2\/3, y in decreasing order.\nAnswer: 3, 2\/3, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 14.1. Let j = -3.7369 - 0.0951. Let m = f - j. What is m rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*1368\/2793)\/(2\/2).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*d = -1033, -3*o - 5*d + 3054 = -2*d. Suppose -1395 = -4*a + o. What are the prime factors of a?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {o: 3, k: 2, w: 3}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 2*p - 1. Suppose 4*u = 8, 13*r - 3*u = 9*r + 6. Calculate w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.99013 to 2 decimal places.\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-2*sqrt(216))\/(-2*-4*1*-2*sqrt(8)).\nAnswer: 75*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 13 + 39 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10710 - -11092. Solve -x + r - 388 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.081 - 3.919. Which is the nearest to -2\/5? (a) q (b) -2 (c) -1\/6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - (-7 - (-1 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122, 499, 1122, 1991, 3106, 4467, 6074?\n\"Answer: 123*v**2 + 8*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-840))\/((-8)\/30)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s. Let m(n) = -85*n**2 - n - 10. Calculate o(m(j)).\nAnswer: -2465*j**2 - 29*j - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*1)\/(1\/3). Let a = f - -4. What is the units digit of (2\/a - 1)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.6 + 38.6. Which is the fourth biggest value? (a) -0.3 (b) 2 (c) 2\/13 (d) y (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/23206 and 95\/12604.\nAnswer: 146244212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/11, -5.04, 0.1, -4?\nAnswer: -5.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 8*u + 147. What is the tens digit of 116 - (-3)\/(-1)*u\/(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -108*z + 103*z. Calculate the remainder when 438\/8 + (-1)\/(-4) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 2. Let n(b) be the second derivative of -b**3\/6 - b**2\/2 + 3*b. Let m(g) = -2*n(g) + u(g). Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17076 and 380?\nAnswer: 1622220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13181*i + 111 = 13178*i, 2*w - 2*i - 82 = 24 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:17 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 6\/5*((-13200)\/9)\/(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3744 - 3744.00011793. What is l rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23821.\nAnswer: 7, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23571 + 8\/((-16)\/6). Suppose 0 = -55*a + 39*a + v. What are the prime factors of a?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*q - 4*u - 10, 3*u = 3*q. Suppose -y + 5 = q. Solve 0 = -g - 2*c + 5, -6*c + 29 = -y*g - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 + -13)*(6\/(-16))\/(34\/(-136)). Solve -p + 28 = -5*j + 5, 0 = -p + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zihi when four letters picked without replacement from iizjjzzihiihihh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppffpfppfp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1534765 - 3655224. Let o = w + -4410011. Round o to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 15*p**2 + 35*p + 34. Let k be n(-1). Suppose k*c + 21 = 21*c. Solve -4*v + 0 + 4 = 2*j, 3*j - c*v - 15 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/40 and 7*(1 - (1 + 21\/(-120)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 7*i**2 + 2*i - 1. Let b be d(7). Let f(y) = 37*y**2 + 6 - 26 + b. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/4 - 3*a**3 - 4*a**2 + 2*a + 3. What is the remainder when (0 + 2)*18\/12 is divided by c(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276 - 279. Which is the closest to -2? (a) 4 (b) 9\/5 (c) z (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*a - 268*a + i = -28, -36 = -4*a + 5*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -17*m - 43. Calculate the least common multiple of 54 and y(-5).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h + 9*h + 11*h - 4*h + 6 in the form y + j*h and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((2 - 13) + 10 - -12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6624540 - 215614.2\nAnswer: -6840154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46.2627474 and 0.187.\nAnswer: -46.0757474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = u + 60, -24*d + 21*d + 4*u - 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -562 - -562. Solve h = -4*c + c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -20, -15, -8, 1?\n\"Answer: i**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 230.\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -515, -749, -969?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*((4*j**2 + 3*j**2 - 5*j**2)*(2 - 3 - 1) + 1 - 1 + j**2 + 4 - 4 - 2*j**2) + j - 2*j**2 - j + (-2 + 2 + 3*j)*(j + 2*j + 0*j).\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*i - 1063*i = 643*i + 9477 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191736764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, k: 1, s: 2, j: 2}. Give prob of picking 1 j, 1 k, and 1 s.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 268*y**2 + 488*y - 192.\nAnswer: -4*(y - 24)*(y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -553 + 8637?\nAnswer: 8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21342 and -67?\nAnswer: 1429914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101000011010 (base 2) to base 14\nAnswer: d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1)\/4*0. Let d(g) = g**2 - g + 2. Let v be d(j). Solve -4*r - 8 = -v*w, -r - 4*w + 1 - 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.13 and 136.8.\nAnswer: -3164.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -921956+0.1\nAnswer: -921955.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b - 27. Let a = -55 + 75. Suppose -a = -4*d - 4*q, -4*q - 51 - 1 = -5*d. What are the prime factors of z(d)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = 2*a, 2*o - 2*a - 14 = -o. Solve -5*h = -4*h + o, -q = -3*h - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09339712 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -1, 4, -4, 94, 15\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2580)\/8*(-10)\/15. Suppose 168 = 3*s + 3*u, s = -3*s + 5*u + j. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3)\/4 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l + 128*l - 109970 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 270544333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.07904481 + -71582.\nAnswer: -71601.07904481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(5\/6)\/d*d**(3\/7))\/(d*d\/d**(-2\/7))**(7\/6))\/((d**(1\/3))**(-4))**(-40) assuming d is positive.\nAnswer: d**(-2299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -363?\nAnswer: 43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -1323*i**6\/40 - i**5\/20 - i**4\/24 - 163*i**3\/3 - i**2 - 1159. Find the third derivative of v(l) wrt l.\nAnswer: -23814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21\/4 + 181\/36. Let b = c - -5\/9. Let -b*v**2 + 0*v + 1\/3 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:02 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/2, -64\/9, -3\/4, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - -465. Let k = f - 499. Solve -k = 2*r - 49 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = -7. Suppose t - 2*i - v = 3*i, -10 = -2*t + 3*i. Suppose -t*k + 70 = -0*k. Calculate the highest common divisor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.32, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 12:45 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -79. Let s be 2561\/44 - 162\/(-297). Let z = s + p. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/((-45)\/10))\/1. Let p(v) = -3*v**3 + 2*v**2 + 4. Determine p(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46071941 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/826470 and -121\/734640.\nAnswer: 6611760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 7:49 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-316)\/(-6) - (-4)\/12 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21) + 2\/(-7). Suppose 4*b - 9 = -1. Solve j = -b*l + 6*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from adddaaadddaadadd?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 24*v**2 + 1208*v + 9660. Give c(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -2658902?\nAnswer: -2658914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**3 - 3*i + 2. Let f be l(1). Are -2 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-6 - -16 - -14) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 - 2. Let i = -4 + 8. Suppose 3*p = -i*v + 89, -35 = -p + b*v + 2*v. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0 - 1\/24*r**4 - 1\/2*r**3 - 8*r**2 + 0*r. Calculate t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105579 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/2100 + w**6\/300 + w**5\/150 - 6*w**3 - 32*w. Let r(l) be the second derivative of c(l). Factor r(b).\nAnswer: 2*b*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - t + 5*t**3 + 0*t**3 + 1. Suppose 4*s - 3*q = -2, -4*s + 10 = -2*s + 4*q. Let p be m(s). Solve 5*w + 32 = -p*k, 21 = -4*k + k - 3*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -5, -3.02, 0.3, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 111.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11550 = -12*r. Suppose 12*c - r = c. What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41649217063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 47*c + 180855. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -34. Let r be h\/8 - 2\/(-8). Suppose 35 = 6*l - 19. Solve i = l - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 2, k: 5, d: 4, p: 2}. Give prob of sequence slpp.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 19*p**2 + 473*p + 1754. Give s(-9).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13962 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 992.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 0*m)*(0*m - 2*m + m) - 2093*m + 2093*m - 213*m**2.\nAnswer: -212*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -0.0027?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3 = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -599 + 3306720.8\nAnswer: 3306121.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -44. Let d = 1.1 - -3.1. Let n = d + -4.1. Is s equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 - 4. Let n be s(6). Let k(q) = q**2 - 13*q - 11. Let v be k(12). Let x = n + v. What is the second biggest value in -1\/8, x, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.89 + -0.11. Let z = 12.9 + -14. Let l = z - -0.1. Which is the closest to l? (a) -5 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143271568 and -0.1.\nAnswer: 14327156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 16426*b**3 - 2*b**2 - 32856*b**3 + 16426*b**3 + 155*b to the form y + n*b + a*b**2 + q*b**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34011, -68451, -102891, -137331?\nAnswer: -171771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 15*h + 420. What is d(-29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32499 = -21*v + 15864. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -1 (c) 0 (d) 0.2 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*a + 12, -3*y + a + 3 = -7. Suppose -3*c - 4 - 8 = 0. Is (c - -3)*(-268)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let b be ((-93)\/124)\/(l\/24). What is the highest common factor of b and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 0, -1423*u + 1 = -1424*u + 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10341378.\nAnswer: 2, 3, 191507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7159 is divided by 252?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 2*w + 3, -161*z = -159*z + 5*w + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106.16 - 2.16. Let c = -103.9999953 + p. What is c rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4 + sqrt(2) + 1 + sqrt(2))**2 - (sqrt(1152))**2).\nAnswer: -4540 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 20*a = -36*a + 585 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -991513\/2 smaller than -495756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 7*s**3 + 1 - 1 + 5*s**3 to m*s**2 + k + f*s + x*s**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25417.\nAnswer: 7, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(35)\/sqrt(320))**2 - ((sqrt(77)*-1)\/sqrt(11) - sqrt(7)).\nAnswer: 2*sqrt(7) + 343\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*r + 35, 5*s + 25 = 3*s + r. Let u(t) = 4 - 12*t + 26*t - 6 + t**2. Calculate the remainder when 63 is divided by u(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 119785*n - 1317627. Calculate t(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106727405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 75 = 103*v - 2931. Calculate the remainder when 2\/(-7) + (-331)\/(-7) is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 2 + 2*x**3 - 1 - 3*x**2 + 8 + 3 to the form d*x**4 + f + n*x + l*x**3 + h*x**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 1, d: 4, z: 6}. What is prob of picking 2 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.87 - 0.13. Suppose 3*d + 15 = 0, -23*s = -24*s - 2*d - 7. What is the fourth smallest value in 0.1, -1, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56658973 divided by -16?\nAnswer: 56658973\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**10*c)*c**7*c**(-1)\/(c*c\/(c\/c**(-1\/12)*c)) assuming c is positive.\nAnswer: c**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71233.32 millilitres in litres?\nAnswer: 71.23332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*82\/(-216) - (-26)\/(-351)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -90*v + 94. Suppose 39*l = 36*l - 5*n - 25, -3*n - 6 = 0. What is the units digit of p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 3*d - q, -d = -3*q + 17 - 174. Suppose -158*f - 174*f + 57672 = -65*f + 89*f. Which is bigger: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 6. Let k be j(-4). Suppose -k*a - 128 + 126 = 0. Put a, 2, -77 in ascending order.\nAnswer: -77, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 3475. Let h be (16\/10)\/((-10)\/o). Let r = h + 953. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3 - 3)*(-14*p + 9*p**3 + 14*p) + (-2 + 1 + 3)*(-4*p**4 + 3*p**4 + 3*p**4).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831980 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2665502690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*f + 20 = 0, 4*r = 5*r - 2*f + 5. Suppose -2*j - j = -138. Suppose 0 = s - 3*s + j. Calculate the remainder when s is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (16\/(-14) - 5251\/2492)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 10.1392?\nAnswer: -14.1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u - 1. Let c(s) = -3*s. Give y(c(o)).\nAnswer: -45*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**19*z**(-14\/5)*(z**6\/z)\/(z\/(z*z\/(z*z*z**16\/z))) assuming z is positive.\nAnswer: z**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 7) to base 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose -2*j = 2*l - 10, -w*l + 6 = j - 3. Solve -2*m + 7 = d, -l*m + 12 = -2*d - 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 7*v**4 - 338*v**3 + 2147*v**2 - 2308*v + 492 = 0?\nAnswer: 2\/7, 1, 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-16)\/28 + (-400)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -32*o**2 - o. Let q(c) = -2948*c. Calculate q(n(l)).\nAnswer: 94336*l**2 + 2948*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17122*i + 3103. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41080 is divided by 3731?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1369566*c*j + 34*c + 28*j + 115571 wrt j?\nAnswer: 1369566*c + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/(-3750))\/((-19)\/760)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/((u\/(u**(-2)*u))\/u)))**(-13)*((u\/((u\/(u*u*u\/u**(-11\/4)))\/u))\/u)\/((u**(-3\/5)*u)\/u*u) assuming u is positive.\nAnswer: u**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a**2 - 941*a - 1202. Determine l(64).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679 = 7*k - 490. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71230 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*y - 0 - 20, -4*j + 4 = -4*y. Sort j, 2, 1, 5, -8 in decreasing order.\nAnswer: 5, j, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83720 is divided by 83717.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -668c5 (base 13) to base 8\nAnswer: -553315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v - 2. Let t be c(-2). Suppose 3*p + 42 = 2*x + t, -11 = -x + p. Suppose 2*s - 21 = -x. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*c + 2, -t - 5*c - 5 + 2 = 0. Suppose -8 = 5*y + t. List the prime factors of ((-2)\/(-5))\/(y\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79400 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 152677*a + 2442993. Give r(-16).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o + 136. Let w be x(12). Let u = -67 - -67.1. What is the nearest to 2 in w, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 4:42 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357 and 27.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -b - 29 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -352*m**2 - 2. Let s(j) be the first derivative of 4*j**3\/3 + 712. Calculate s(v(o)).\nAnswer: 495616*o**4 + 5632*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-126) - 4\/14. Let j = -0.2 + 0. Which is the smallest value? (a) j (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7815, 31319, 70493, 125337, 195851, 282035, 383889?\nAnswer: 501413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 20 = 5*u + 3*k, 0 = 3*u - 4*k - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*q - 87, -q - 29 = 2*h + 22. Let z = -13 - h. Suppose -j = 4*j - z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(7560\/36))\/((-28)\/5))\/(6\/(-8)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = 3*a - 5*w, 0 = -3*a + 3*w + 3. Let s(h) = 21*h**3 - h**2 - 3*h + 4. List the prime factors of s(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o + 29. Calculate h(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 72\/22*2332\/424\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 1. Let l = -1408 + 1408.5. Let s = 0.1 - -0.1. Which is the nearest to s? (a) l (b) -1\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15205\/12 + -1273. Let s = -880 + 64. Let q = s + 12242\/15. Calculate the common denominator of j and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4 + 207*q**3 - 1971*q**2 - 4575*q - 2394 = 0.\nAnswer: -1, 14, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)*(2 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32822 is divided by 85?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttittitittiitittiii. Give prob of sequence it.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13155827 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*f = 36, 0 = p - 4*p - 2*f - 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/45 and -4\/728469.\nAnswer: 3642345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.4. Let x = h - -0.2. Let i = x + -0.6. Which is the nearest to i? (a) 1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*a + a. Is (6 - 3) + a\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -4173.4.\nAnswer: -417.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5499 and -5500 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8872?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 5*c**4\/6 + 23*c**2 - c + 74. Let q(a) be the second derivative of n(a). Let b(g) = 4*g**2. Calculate b(q(y)).\nAnswer: 1600*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27\/11 - -859\/22. Let u = 372\/7 - 345\/14. Calculate the common denominator of u and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 4*o + 52. Let m(j) = -2*j**2 - 8*j - 103. Let w(s) = -5*c(s) - 2*m(s). Differentiate w(r) wrt r.\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/76 - -2465\/1748. Find the common denominator of 91\/20 and a.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -47. Suppose -5*a = -2*z + 29, 4*z - z - 1 = -a. Let k(r) = -3*r - 11. Let g be k(a). Solve 2*y - g = -b*d, -4*y + 18 = -y - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((55 - 30) + -26 - (2 - 1)) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -2*g + 2*h, 24*h = -5*g + 2*h + 13*h - 28 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 2, 0.06, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 30669*v + 1320699. Give s(-43).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-11) - (15 - 1503\/99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792 + 786 + q**2 + q**2 + 98*q**3 - 1578.\nAnswer: 98*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9603 and 38703?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 328, 327, 322, 313, 300?\n\"Answer: -2*z**2 + 5*z + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 120978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3391, 3360, 3329?\n\"Answer: -31*m + 3422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1704)\/(-994)*(-14)\/(-18)*3*8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 6*c + 2*c)*(2*c**2 - 3*c**2 + 0*c**2) + 5*c**3 - 23*c**3 - 6*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oogooxxog. Give prob of sequence xo.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**4 - l**3 + 2*l + 1. Let h(y) = 128*y**4 + 36*y**3 - 72*y + 72. Let x(d) = 2*h(d) + 72*p(d). Find the first derivative of x(s) wrt s.\nAnswer: 448*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499352430*-5.\nAnswer: 2496762150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765 + 841. Which is the third smallest value? (a) 0 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362*k**4*t - 5*k**3*t**2 + 4*k**3 - 3*k**2*t**2 + 68*k*t**2 - 15*t**2 wrt k.\nAnswer: 8688*k*t - 30*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + -6. Let t be 0\/(-3 + 6) - 5. Let y = t - p. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14706 + -14700.0948. What is j rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -88, -2, -3 in ascending order.\nAnswer: -88, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - (-15 - -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 59499722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 899917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 2*x + 2. Calculate g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4476 (base 14) to base 5.\nAnswer: -334424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285352001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/2)\/(((-375)\/30)\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-8\/15)*q\/q**6*q*q**7\/q)\/((q**(-5)*q*q*q**(-5)*q)\/(q**(-2)\/(q*q*q**4*q))) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 - 89*k**2 + 2379*k - 16731 = 0 for k.\nAnswer: 11, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5\/7, -34328?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (672\/15 + 3)\/((-5)\/(-25)). Let g = o + -235. Solve 4*b + 9 = -5*d, 0*b - 16 = -g*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86272 in 4, -1\/79, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -11 - (12 + -17 + 11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:45 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84)\/(sqrt(3)*1) + sqrt(28) + -2*2*sqrt(28) + sqrt(28)))\/(6*(sqrt(64) - (sqrt(64) - sqrt(64)*1*5))))**2 + -2.\nAnswer: -28793\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 191490195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3*y**2 + 30042*k**3 + k*y**3 + 4*k*y**2 - 2*k*y + 4343*y**3 wrt y?\nAnswer: 8*k**3 + 6*k*y + 8*k + 26058*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -41, -54, -61, -62, -57, -46?\n\"Answer: 3*b**2 - 28*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 20*v**2 + 1271*v + 35. Determine s(-47).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 1 (c) -0.1 (d) 0.5 (e) -0.5788 (f) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j + 37. Let p be j*((-3)\/3)\/(-2). Solve -p*w + 9 + 6 = 0, -4*x - 2*w + 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d - 5 - 317*d**3 + 318*d**3 - 6*d - 5*d**2. Let o(u) = -u**2 - u - 1. Determine -10*o(s) + 2*x(s).\nAnswer: 2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 9*r + 12. Let o(u) = u**2 - 2*u - 3. Suppose 0 = d - 0 + 2. Let a(t) = d*h(t) - 9*o(t). What is the first derivative of a(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(1008) + sqrt(1008))**2 + 5.\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 3*d**5\/5 - 3*d**4\/4 - 3*d**3\/2 - 5*d. Let q(o) = -3*o**3 + 2*o**2 + 2*o. Calculate 2*m(x) + 9*q(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/60 and -167\/301812.\nAnswer: 1509060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from tlqlhqllqhttqthl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 323311560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*s - 4, 8*i = 3*i - 3*s - 55. Let z be ((-6)\/i*2\/(-6))\/(-1). Let m be 2*1\/(-14)*-2. What is the closest to m in -2, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*u + 350, -y + 4 = -3*u - 79. What is the greatest common factor of y and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -152 and 8953189.3388?\nAnswer: 8953341.3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1752166*j - 2*j**3 - 2*j**3 + 1752166*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10252\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -226. Let z = 96 - c. Suppose -2*r + z*s + 153 = 0, -3*r - 2*r = 4*s - 333. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**5 - 2401*n**3 - 20*n**2 - 984?\nAnswer: -180*n**2 - 14406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0, -0.381, -0.5, -0.32, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*a**2*w**2*z - 16*a**2*w + a**2*z + 2451*a*w**2*z - 2*a*w*z - a*z + 3838*w wrt w.\nAnswer: 158*a**2*z + 4902*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*v**3*w + c*v**2*w**2 - 12*c*v**2*w - 10*c*v**2 - c + 1297*v**3*w**3 + 2*v*w**3 wrt v?\nAnswer: 6*c*w + 7782*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-53 - -1)\/(-4) - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017948 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-12))\/((-106)\/(-424)))\/(1\/(-14)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:30 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1946 is divided by 894?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**4\/24 - 5*z**3\/6 + 2*z**2. Let q be -3 - 27\/(-6)*2. Suppose 4*w + q - 26 = 0. Determine p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 3, a: 6, i: 1}. Give prob of picking 1 f and 1 a.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 0*m**2 - 21507*m**3 + 21511*m**3 + 1 - 9*m**4 to a*m**2 + z*m**3 + p*m + d*m**4 + x and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 961339.\nAnswer: 102\/961339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6))\/v*v**(-1)\/v*((v\/(v**0*v))\/v)**(2\/31) assuming v is positive.\nAnswer: v**(122\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (61 - -1) + (-2 - 0). Let b = -4 - 35. Let j = b + f. Calculate the highest common divisor of j and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(8\/12)\/(1\/(6\/8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28073*l**3 + 426*l**3 + 19781*l**3.\nAnswer: 48280*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 2018438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 106244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1234, 5316, 12124, 21658, 33918?\n\"Answer: 1363*o**2 - 7*o - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/(-27306)*(-228)\/95?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*y + 3*y. Suppose 0 = y*c - 38 - 10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g + 21. Let s be f(6). Let i = 137 - s. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 359*c + 1069. Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*g**2 + g + 0.\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba77 - -1b?\nAnswer: ba94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o + 11*o - 8*o to h + m*o and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 221*l**7\/210 + 22*l**5\/15 + 4*l**2 - 11. Find the third derivative of a(f) wrt f.\nAnswer: 5304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -17*b - 173. Let h be q(-19). Suppose 69*u - 64*u = h. Calculate the smallest common multiple of 54 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1019080505 divided by 1\nAnswer: -1019080505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320.9 - 1513504.\nAnswer: -1513824.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 493160139.\nAnswer: 9370042641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35396 take away -3886?\nAnswer: 3886.35396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 12*l**2 - 253*l - 954. Determine q(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10730 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3955 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110538811 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 291 + 221. Let q be 1*((-8)\/4 + 6). Suppose -c + q*c = 0. Solve -h - 6 = -5*l, 0 = x*h + 5*l - c*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-2*265\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -5*o, 0*l - 1 = -3*l + 4*o. Let j = l + 5. Suppose j*z + 3*z = 147. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66)*4*-5 + sqrt(66)))\/((1*sqrt(72)*-3 + sqrt(72) + sqrt(72))\/sqrt(12)).\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 + 3*q - 14. Let c be n(6). Let t(j) = 4*j + 2. Let x be -1*(-2)\/8*20. Let y(f) = -4*f - 2. What is c*t(v) + x*y(v)?\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/(-21) - (13 + -6).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51194 * 39.7\nAnswer: -20.324018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383601?\nAnswer: 3, 13, 101, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17130*f - 17132*f = -3*x + 30, -2*x + 7 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/9 - 14*i**2\/3 - 2*i\/9 + 14\/3 = 0.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/16)\/(1\/(-4)). Suppose -5*i - 3*c + 355 = 0, -n*c + 5*c = 4*i - 262. Suppose i*z - 65*z = 609. List the prime factors of z.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/40)\/(168\/4448) and -26?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 11049*h**2 + 44212*h.\nAnswer: -h*(h - 4)*(h + 11053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 20*m**2 - 24*m - 21. Is q(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 13759*v - 7*v**2 - 2 + 13759*v as x + s*v**3 + r*v + j*v**2 + q*v**4 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d = 29293 + 20551. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + s = 6, -46*s + 9 = -4*x - 47*s. Sort -4, 1, x, -4\/7 in ascending order.\nAnswer: -4, x, -4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23607\/5 - 283451\/60. What is the common denominator of -99\/3220 and o?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040988 to the power of 1\/2, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 48*c**3 - 513*c**2 + 540*c + 1701 = 0.\nAnswer: -21\/16, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*133\/((-210273)\/248)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62393 is divided by 97?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 322564 (base 9) in base 13?\nAnswer: 6962b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 315.7889 milligrams?\nAnswer: 0.0003157889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.04 - 26248.7933167\nAnswer: -26253.8333167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - 12\/(-10). Suppose -5*y = -9 - v. Solve -w + 5*p = 0, -3*w + 5*p - y*p + 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 214 = -4*h + 8*h, -h = -3*i - 46. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2*j - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 74 = 3*q + 24*h, 6*q + 3*h = 7*q - 27 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 - 3*u**2 - 5*u - 4. Let c(n) = -5*n + 2. Let m = 38 + -37. Let a be c(m). Let o(i) = -5*i**3 + 2*i**2 + 4*i + 3. Give a*o(t) - 2*h(t).\nAnswer: 3*t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 87279*r = 87280*r + 3 + 1, 2*d - r + 7 + 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -2 + 2*sqrt(252) + 0 + 3))**2.\nAnswer: 768*sqrt(7) + 16192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 - 1\/3*j**3 + 0*j**2 - j. Let q(y) = -y**2 + 3*y - 3. Let g(d) = 2*d - 2. Let l(b) = -6*g(b) + 4*q(b). Calculate l(t(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3220026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let r(q) = 12*q - 414. Determine r(i(d)).\nAnswer: -24*d**2 - 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**(1\/4)*c*c\/c**(2\/3)*c**(2\/17))\/(((c\/c**(-2\/7))\/c)**(-11))**(2\/11) assuming c is positive.\nAnswer: c**(-2467\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130978583143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230945 is divided by 289?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50704 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1810468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31056.8 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108452765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/(-2))\/(2\/4) + -3. Let k be (-26)\/i - (-12)\/36. Which is the smallest value? (a) k (b) -0.3 (c) 9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**3 + 188*l**2 + 146*l + 658. What is m(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r - 3. Let c(k) = 559*k + 104. Let u(b) = -b**3 + 5*b - 1. Let h be u(-2). Give h*c(i) - 104*y(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - -1) + -35 + 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720110522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927 (base 10) in base 2?\nAnswer: 101101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c)**(-3\/19)\/(c**20)**(-12) assuming c is positive.\nAnswer: c**(4593\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) + 23\/5. Suppose -54 = -q*j + 2*j. Calculate the remainder when 284*1\/16*4 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 138 - 150 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105063 - 5?\nAnswer: -105101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953475.\nAnswer: 3, 5, 23, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-6))\/((-17)\/(-51)))\/((-7)\/2856*8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -0.053\nAnswer: -0.1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(27) - sqrt(2880)*-1)\/(sqrt(810) + sqrt(810)*1 - sqrt(10) - ((sqrt(360)*-3 - sqrt(360)) + sqrt(360))))**2.\nAnswer: 2738\/11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v = 103*v - 59*v + 408. Calculate the lowest common multiple of v and 1425.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473829*n - 1830 = -474106*n - 12079 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let d(p) = -3*p**3 - 7*p**2 + 4*p. Let t be d(-3). Solve -6 = -i + 2*c, -2*c = -z*i - i + t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmutt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4796 and 103\/55110.\nAnswer: 12013980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = -3*w, 11*k - 9 = 12*k + 3*w. Which is smaller: k or 47\/26?\nAnswer: 47\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.791 rounded to two decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + u - 4 - u + 5. Suppose -31 = 5*v - 11. What is the units digit of r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.38, -5, -5\/2, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -12\/5153?\nAnswer: -12\/5153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/5 + 6372*w\/5 + 2972832\/5 = 0.\nAnswer: -1432, -692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*l - 4 = 0, -4*n - n + 5*l = -20. Let v = -25870 - -25875. Solve -12 = -v*z + n*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6689129926359 take away -9.6?\nAnswer: -6689129926349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 31 + -4 + -19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158237 is divided by 79017.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1936)\/(-2420) + 17\/(-15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/(q*(q*q**1)\/q)*q)\/q))\/q**(-4))**(2\/49))**36 assuming q is positive.\nAnswer: q**(432\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1312\/(-1344) - (-1 + 0). Let m(f) be the third derivative of -2*f**2 + 1\/21*f**3 + 1\/210*f**5 + 0 + 0*f - p*f**4. Factor m(b).\nAnswer: 2*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 + 14 = 0, 16 = 3*g + b. Solve -y = -g*p + 18 + 2, -y = -4*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1498*d**4 + d + 175.\nAnswer: -17976*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 541 - 769. Let z = s + 228.5. Which is the fourth biggest value? (a) z (b) -3 (c) 27 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255628 not equal to 4255630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by -2*1\/4*-26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 5 + -5*(-6*(sqrt(252) + -1) + (1 + sqrt(252) - sqrt(252))*4))**2.\nAnswer: -1144580 + 82800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4191 - 4186. Which is the closest to 0.04? (a) 4\/5 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 = -2*g - 235, -2*s = 2*g - 138. Let v = -34 + s. Calculate the least common multiple of v and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 9*w - 12. Let o(g) = 2*g**2 + 9*g - 12. Let b(k) = 2*o(k) - 3*x(k). Let z be 25*204\/170*(16\/(-10))\/(-4). Give b(z).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1.2. Let d = 0.709 - 1.009. What is the nearest to -7 in -2, o, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 361520 and 0.0116?\nAnswer: 4193.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*v + b + 355, 105*b + 17 = v + 103*b for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -231202200 (base 4) in base 9?\nAnswer: -313773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.72 - 53.02. Which is the nearest to -2? (a) -88 (b) g (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 + -0.7. Let i = -1152 - -5763\/5. Let l = 3.1 - 0.1. Which is the fourth biggest value? (a) l (b) i (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(-2 + (sqrt(612) + sqrt(612) + 0 + sqrt(612) + -2)**2).\nAnswer: -11023 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 313, 12, 3, -1, -48.\nAnswer: -48, -4, -1, 3, 12, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 6*i + 7. Let w be o(5). Is (28\/2)\/(w\/41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 17 = 2*j, -3830*q = -3831*q - 3*j + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -63, 4, -3 in ascending order.\nAnswer: -63, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 4*y - 3. Let c(v) = 2*v**2 + 10*v + 6. Let d(w) = 3*c(w) + 5*z(w). Let b be d(-9). Let m(k) = k**2 + 4*k - 5. Give m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 239.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9) - (-8)\/(-36). Suppose y = -m + 4*m + 6. Let w(b) = -10*b - 2. What is the tens digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11534 + -3?\nAnswer: 11531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l. Let q be b(4). Let r(j) = -10*j + q*j - 8*j. Let g(c) = 0 - 3*c + 0. Calculate r(g(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 10650 - 5040 + 2028 = 0. Calculate the least common multiple of v and 6.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -3. Let t = -7 - r. Let g be 10\/(-50)*(5 - 5). Solve g = -t*o + o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -579584, -1159171, -1738720, -2318213, -2897632, -3476959, -4056176, -4635265?\n\"Answer: 3*m**3 + m**2 - 579611*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -3. Let j be z*(30\/9 - 3). Suppose -2 = -j*o + 4. Solve -t = -o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 368 + -145. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14707 (base 11) to base 9\nAnswer: -31502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7*((-20)\/(-135))\/(-1) and -91\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69606*h**4 - 56*h**2 + 7*h - 7?\nAnswer: 1670544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -2945?\nAnswer: -293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 + 49*z**3 - 775*z**2 + 3675*z + 4500 = 0?\nAnswer: -1, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6184.066 - -6226. Let s = m - 42. Let o = s - -0.0659802. What is o rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2399531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 968?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 7172.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 25. Calculate q(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 18596*f + 18993*f)*(-12 + 30 - 17)*(2*f**3 - f**3 + f**3).\nAnswer: 794*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l**2 + 8*l - 4*l - 18*l - 44*l**2 + 2*l.\nAnswer: -3*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 217.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoqq. Give prob of sequence quq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -19. Let d = -1.8 - t. Let f = -10.29 - d. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 60*t + 195. Determine s(-25).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10001 + -14?\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 4, x: 4, j: 1, y: 1}. What is prob of sequence ghxy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 > 18.5571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 - 0.8. Is j at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 7, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/10)\/((60\/(-25))\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181601 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Let d = 3\/11 + 5\/22. Find w, given that u - 1\/2*w + 3\/4*w**3 + d*w**4 - 3\/4*w**2 = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1316)\/(-1974))\/(16\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8105 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 5*d + 0*d + (2*d + 0*d - 3*d)*(-2 + 0 + 3) + (0 - 3 + 2)*(2*d - 3*d - 20*d) in the form y*d + c and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*q + 261\/2 + 3\/2*q**2.\nAnswer: 3*(q + 3)*(q + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7030.899kg to milligrams.\nAnswer: 7030899000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 42*z**3 + 2*z**2 + 33*z + 2. Let w(p) = 41*p**3 + 3*p**2 + 34*p + 3. Let q(a) = 3*c(a) - 2*w(a). Find the second derivative of q(o) wrt o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82429*z**3 + 5*z**2 + 7*z - 349.\nAnswer: 494574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/364 and 11\/2184?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3210 + 3209.5. Put 0.5, o, -3, -21 in descending order.\nAnswer: 0.5, o, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 + -313 - (5 - (-3 - 59)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/4 + l**3\/3 + l - 3. Let r(s) = 4*s**3 + 3*s**2 + 2. Determine 6*a(m) - 2*r(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4821, 9808, 14957, 20268?\nAnswer: 25741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473438?\nAnswer: 2, 7, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 7\/56 - (-7932)\/32.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811753269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.7. Let t be -8*((-6)\/21)\/(80\/(-70)) - 23. Sort t, -0.2, w.\nAnswer: t, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*a - 2*y, 3*y = 2*a + 7*y - 8. Suppose -c - a = -2*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 11*g - 5049466 = 0. Is g\/34 + 50\/(-425) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -566639 greater than -566680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.062*-146.\nAnswer: 9.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2474010 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 263, 386, 497, 590, 659, 698, 701?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 - 136\/(-2). Suppose 3*y - 5*s = r, 0 = -2*s - s - 9. Let u = -13 + y. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 14*o = 240. Let p(r) = 80*r + 28. What is the units digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*m + 82648, -124012 = -3*m + 76*i - 74*i. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**2 + 0*u - 1\/660*u**6 + 0*u**4 + 0*u**5 + 0 + 0*u**3 + 1\/1155*u**7. Factor c(x).\nAnswer: 2*x**3*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 40 + -15 + -20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 3. Let j(v) = 3*v + 4. Let k(x) = -3*j(x) - 4*u(x). Let s(r) = 6*r**2. Calculate s(k(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/80 - (-6)\/16. Let k = -99 + -33. Is 19 a factor of ((-2)\/6)\/(l\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 - b + 2. Let p be i(0). Calculate the greatest common factor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 80300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 4. Suppose -c = -5*g - 0*c + 25, -30 = -5*g + 2*c. Let n be m(g). Find the common denominator of -2 + 2 - (-83)\/n and 103\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + a + 1314 = 25, -m + 423 = -2*a. List the prime factors of m.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2637?\nAnswer: 1\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 3*r. Let u = -12 + 8. Let d(y) = -2*y**3 + 4*y**2 + 6*y + 1. Let h(x) = u*d(x) + 9*j(x). Calculate h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48771849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 8. Suppose -1716 = -5*u - 1696. Let y = -8 - -6. Put u, k, y, 1 in decreasing order.\nAnswer: u, k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 less than -16.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55278?\nAnswer: 2, 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**2 - 102*t - 5347 wrt t.\nAnswer: -4*t - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 11*v - 21. Let y(l) = -8*l - 17. Let g be y(v). Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -752*b - 7476. What is p(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 1. Let d be (2\/2)\/(j\/6). Suppose d*k = k + 11. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 12:03 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 5*h + 94, -3*y - 3*h + 84 = 0. Calculate the highest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896118 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 + 24?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2*c - 43. Let d = 16 - 16. Let v be b(d). Let t = v + 71. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4675018, 4675017, 4675016, 4675015?\n\"Answer: -p + 4675019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -7\/2*p**2 + 1\/3*p**3 + 1\/6*p**4 + 14*p + 0. What is the units digit of b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2 - 2 - 2 + 0 + (3 - 5 + 0)*(1 + 0 - 2))*(-3*n**3 + 0*n + 0*n).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -24, 2, -1, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 610267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-15 - -9) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156305364 (base 7) to base 4.\nAnswer: -220211311203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 2*t - 1. Let p be v(3). Let d(b) be the third derivative of 3*b**6\/8 - b**4\/8 + b**3\/6 + 6*b**2. Is d(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.3609 millimeters in micrometers?\nAnswer: 53360.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -401 - -401.183. Let u = x + 0.107. What is u rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 217 - -29?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 0.3, 1, -2, -0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Let u(y) be the second derivative of -2*y + 2\/15*y**4 + 2\/75*y**6 - 1\/10*y**5 + k*y**2 - 1\/15*y**3 + 0. Factor u(a).\nAnswer: 2*a*(a - 1)**2*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17643?\nAnswer: 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-1 + 0 - 3)*(-10*s**3 - 397*s + 397*s) to the form v + h*s**2 + k*s + r*s**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 3}. What is prob of picking 2 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 29952?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 342*p - 20044. What is v(-51)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 2*b + z, -4*b + 2*z = 8. Let n be (-1 - b)\/((-10)\/(-10)). Let s be (4 + 6\/(-2))*n. Is s != -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310203 - 23100?\nAnswer: 221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20*p + 18. Let m be a(5). Let y(g) = 1 + 7 + m*g - 119*g. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8460\/(-27)*(-18)\/15.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(102) - -5*(sqrt(102) + sqrt(102)*-1)) + 4*sqrt(102)*-1)\/((-1*sqrt(2430))\/sqrt(5)) + 2)**2.\nAnswer: 10*sqrt(17)\/3 + 242\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -2 + (-8)\/(-4). What is the second derivative of -z**m + 0*z - 4*z - 2*z**2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 1. Let f(v) = -2438*v - 4. Let j(x) = -f(x) + 3*o(x). Is j(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 320*c**2. Let z(u) = 2*u. Determine z(d(g)).\nAnswer: 640*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let c(h) = -2858*h**2 + 7*h. What is c(p(f))?\nAnswer: -11432*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 0) + (-12 - -21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 77 = 2*s + 65, 119*s - 28 = -4*a + 122*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 2. Let l = -3 + -9. Let w = -10 - l. Give r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 15278*s - 8783020\/7.\nAnswer: 2*(s - 53555)*(s + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 4*m**3 + 12*m**2 - 7*m**2 - 5*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109125?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g*g**(-5)*g)\/g*g*g)))\/(g**13\/g))**13 assuming g is positive.\nAnswer: g**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*u + 14*u. Solve 8*d + u*d = 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/380 - (-162)\/3078.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) 3 (b) -3 (c) 2\/11 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277621, 277648, 277675, 277702?\nAnswer: 277729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 142 + 70 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 7. Let w = 5 - 0. Let l be n(w). Let u(g) = -l*g + 2*g + 2*g - 3*g. What is u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 66*j - 20235. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60065 + -5\nAnswer: 60060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - (2 + 38 + -41 + -12)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 0.2, -30, 160?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*c**4*m + c**3*m**2 - 4*c**3 + 2*c**2*m**2 - 95*c*m wrt c.\nAnswer: 600*c*m + 6*m**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 4.9, -5\/7, -3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 18*i**2 + 68404*i + 68403. Calculate y(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 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: What is the next term in 58735, 58732, 58729, 58726, 58723, 58720?\nAnswer: 58717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347 - 173. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4955 + -0.4955. What is the nearest to 0 in 4, 120, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36061 is divided by 5150.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1070.2346 and 1.\nAnswer: -1070.2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 121, 180, 239, 298, 357?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g**3 + 56*g**3 + 35*g**3 - 164*g**3 + 12*g**2 + 49*g**3.\nAnswer: 39*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 27. Let s be q(-6). Solve 2*l**5 - 7*l**3 + 3*l**s + 16*l**4 + 0*l**3 - 14*l**4 = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 + g + 9. Suppose 0 = -2*x - 9 - 9. Let m be y(x). Let c(v) = v**2 - v - 3. What is c(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 786 divide 59289083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 6*n + 6. Let i(x) = x**2 + 3*x + 3. Determine -7*i(p) + 3*u(p).\nAnswer: 2*p**2 - 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*k + 8. Let r(f) = -4*f + f**2 - 3*f + 4*f**2 + f. Let s(c) = -6*c**2 + 7*c. Let q(d) = k*r(d) - 6*s(d). Let z(b) = b. Calculate z(q(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 66 = -h, -23*h - 10*h = -4*u + 13*h - 44*h + 60 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/3*((-39933)\/102)\/87?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/166789?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429370 is divided by 739.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, l: 3}. Give prob of sequence rrl.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395755.\nAnswer: 3, 5, 53239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 26. Let f be y(9). Suppose 5*h + f = 39. Suppose -h*g + 20 = g. Solve 3*w - 9 = 3*k + 3, -13 = g*k - 3*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18\/(-6)*(175\/(-15))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*v + 28, 3*m + 52*v - 53*v - 35 = 0. Solve 16*t + 15 = m*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.8, -3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158975.0705 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2857.179?\nAnswer: 2854.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71781\/1917 - (-518)\/333?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - o + 13 = 3*o, 2*o = 4*l + 24 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdiiwwmz. Give prob of sequence id.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*y - 136*y = -2298 + 12544 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16842, 16822, 16790, 16746?\n\"Answer: -6*b**2 - 2*b + 16850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, -355, -549, -727, -883, -1011, -1105?\n\"Answer: s**3 - s**2 - 208*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, 0.3, -14, 0.07, -1\/16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-11)*v)\/(v\/(v*v**(1\/6)))*(v**(-1\/2))**(1\/4) assuming v is positive.\nAnswer: v**(-215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) - 1*sqrt(6480))\/(sqrt(81)*2 + sqrt(81)) - (3 + 2*sqrt(20))*-5.\nAnswer: 15 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 681447176 - 681553210.50073. Let p = -106019 - b. Let s = p + -15.5. What is s rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*t - 357 = -224*t - 5*v, 5*t + 5*v - 615 = 0. What is the remainder when 3093 is divided by t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 1)*(2*l**2 + 4*l**2 - 4*l**2)*(-1979*l**2 - 128*l**2 - 2265*l**2).\nAnswer: -17488*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**1*n))**7*(n\/(n\/(n**(2\/7)\/n*n)))\/(n\/(n*n**(-2\/11)*n*n*n)) assuming n is positive.\nAnswer: n**(-839\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10*u = 7*u - 45, -3*u = -q + 17. Let d = 447 + -443. Calculate the highest common factor of q and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/210*(-1038)\/1384?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:51 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 12 = -3*v, 3*v = -5*p + 21. Solve 2*f + 4 = p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 12373*h**8\/336 - 22*h**4\/3 - 8*h**3\/3 + 2*h**2 - 333. Find the second derivative of k(w) wrt w.\nAnswer: 247460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/158, -2\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 24255.7245 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 s when four letters picked without replacement from {x: 7, u: 10, s: 2, y: 1}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(14700*b**2 - 14699*b**2 + 669*b + 0 - 1).\nAnswer: b**2 + 669*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35322 * -18849.\nAnswer: -665784378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2329*1.93.\nAnswer: -4494.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 60*y - 466. Let q be z(-33). Calculate the greatest common divisor of 6460 and q.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = -3*m. Let k(x) = x - 1. Let t(z) = z**2 - 5*z - 1. Let a = 13 - 8. Let l be t(a). Let g(v) = -v**2 - 5*v + 7. Calculate l*g(u) + m*k(u).\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:19 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5)*6*91\/42. Is 7 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 3*w**4 - 4*w**4)*(1 - 1 + 2*w) + 3*w**2 - 3*w**2 + 2*w**5 + 55 + 30 - 14*w**5 - 86 - w.\nAnswer: -16*w**5 - w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4729 + -0.3971. Which is the fourth biggest value? (a) -5 (b) r (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1)\/(((-627)\/22)\/19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 10. Let d be x(4). Suppose -5*r = -0*r - d. Is r <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**5\/30 + w**4\/12 - 3*w**2\/2 + 2. Let f(i) be the second derivative of t(i). Find the second derivative of f(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10601 + 10601.17993. Let q = -21 - -20.82. Let j = q + x. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from vvuvvuvvvpvvvcv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43 and 2391960?\nAnswer: 2391917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.9886 rounded to one dp?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 39 - 86 = 0. Solve 0 = 4*f - 3*q - 20, 5*q - q = -v*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 1095 = -1200 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-77)*(199 - 320)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8736)\/(-1560)*((-369)\/48 - -8)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:35 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o - 17. Let t be n(-6). Let a(h) = 259*h**3 + h**2 - 1. Is a(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o**4\/5 - 23198*o**3 + 70672*o**2 - 49864*o + 11872\/5 = 0 for o.\nAnswer: 2\/39, 1, 2, 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4718, -5308, -5894, -6476, -7054, -7628?\n\"Answer: 2*g**2 - 596*g - 4124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/110 and ((54\/(-248))\/(6\/4))\/(511 + -491).\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) 863 (d) 2\/7 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/165)\/(1\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) -0.32 (c) 0.5 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*t + 8. Let d = 8 - t. Solve -2 - d = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3112*i + 1090*i**2 - 3100*i + 6213*i - 2 as o + u*i + l*i**2 and give l.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*m**5 + 2*m**3 - 16695*m**2 - 25605608*m wrt m.\nAnswer: 1040*m**3 + 12*m - 33390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 946327769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/12*3*(45\/(-6))\/15)\/13.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2662579.71 to the nearest one thousand.\nAnswer: -2663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123, -119, -113, -105, -95, -83, -69?\n\"Answer: v**2 + v - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g + 52*g**2 - 39*g.\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56567\/4 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (-1 + (-20)\/(-4))*(165 + 3356).\nAnswer: 42252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -4*d + 1\/14*d**8 + 0*d**5 + 0 - 1\/4*d**4 + 0*d**3 + 0*d**6 + 0*d**2 + 0*d**7. Find the third derivative of h(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(10\/3)*-6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:22 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 151) + 74 + 149.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 2*g + 2. Suppose 178 = 143*s - 141*s. Let w = s + -67. Let x(c) = 5*c**3 + 11*c**2 - 11*c + 11. Give w*h(b) - 4*x(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*z + 15*z + 710. What are the prime factors of z?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 2, -5*q = -3*z - 35. Let v = z + 32. Solve 5*s + 2 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(77\/66 - 1\/(-3)). Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/44701879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*x - 45, 0 = 3*j - 8*x + 3*x - 145. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 235116 and 52248.\nAnswer: 470232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 3*u**5\/10 + 3*u**4\/8 - 2*u**3 - 3*u**2 + 31. Factor f(s).\nAnswer: 3*s*(s - 2)*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200 + 198. Which is smaller: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 6, z: 5}. Give prob of sequence lzle.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-99)*(-49456)\/(-22480)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/107032 and 95\/72630656.\nAnswer: 1234721152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -36.5. Sort 2\/29, r, -0.2.\nAnswer: r, -0.2, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*x + 25. Suppose 8 = x*t - 7. Suppose -8*f = -t*f - 80. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 2*i + 12. Let y be s(-6). What is y rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -803*u - 13. Let n be q(0). Let l(z) be the first derivative of 2*z**2 + 9*z - 5. Let r be l(-6). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 370 - -a383b4?\nAnswer: a38764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63198\/19 - 3324. What is q in -36\/19 - x*q - 2\/19*q**3 - 16\/19*q**2 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t - 117*t - 42*q = 86, -3*t = -4*q + 29 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*v - 5*q - 15 = 0, 0 = -2*v - 5*q - 21 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-1 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 + -245 + -80 - (-32 - 1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 - k + 14. Let i be h(2). Put 3, 605, i in descending order.\nAnswer: 605, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7200.4 - -0.1\nAnswer: -7200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*c**3 + 2*c + 95*c**3 + c to w*c**3 + y + l*c + h*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 734961555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -518981, -1037984, -1556993, -2076008, -2595029, -3114056?\n\"Answer: -3*s**2 - 518994*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 + 14*b + 10. Let i(d) = 7*d**2 + 13*d + 9. Let p(v) = 6*f(v) - 7*i(v). Let c be p(-6). Let l be 3\/27 + -3 + c. Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -1206\/7. Let q(r) = 2*r**2 + 3*r - 2. Let d be q(-2). Let m = -3 - -2.7. What is the closest to t in -4, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1912625, -3825248, -5737871, -7650494, -9563117?\n\"Answer: -1912623*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4878, -1, 4351?\nAnswer: 4351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11287498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - (2 + -9)) - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g - 1367 + 667 = -7048 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (2 + -1*sqrt(475)) - sqrt(475) - (sqrt(475) + -1 + 1 - sqrt(475)))*5 + 5)**2.\nAnswer: -250*sqrt(19) + 11900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 12*a**4 + 16 + 0*a**4 - 3*a**4 + a**4 + a - a**4 - a + (2*a**3 + 3*a - 3*a)*(2*a - 5 + 5) - a + a + a**4.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 31\/872 (c) -3\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5895 = -36*u - 38*u + 5969. Which is the closest to -2\/7? (a) -0.6 (b) u (c) 282 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24873964 is divided by 305.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11613662 (base 7) to base 5.\nAnswer: 231431202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 108 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24314004 (base 5) in base 9?\nAnswer: 378426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q - 7 = -29*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b*(b*b**3*b)\/b)\/(b*b**(-4\/3)*b*(b\/(b**1\/b))\/b)*((b*b**2*b)\/(b*b**3))**(8\/7) assuming b is positive.\nAnswer: b**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 4. Let h be 2\/7 + (-215)\/(-7). Suppose 0 = 5*o - h + 6. Let y be b(o). Is 2\/9 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/28830 and 58\/8649?\nAnswer: 86490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 12513839?\nAnswer: -12513841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:45 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -57.00029. What is p rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 + -145. Let o(s) be the third derivative of 20\/3*s**3 - 5\/2*s**4 + 1\/2*s**5 + 0*s + 0 - 1\/24*s**6 - 2*s**w. Find c, given that o(c) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2878, 0, -2 in decreasing order.\nAnswer: 0, -2, -5, -2878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 7*f**3 + 4*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 8 + 4*p**3 - 9 to the form f*p**3 + i + h*p + t*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and 57\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -671 (b) -181 (c) -2\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -3, 4, -0.2, 31614, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318594 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/15)\/((-3)\/(-135))*1. Suppose -4*s + 23 = -z, -5*s = -2*z - 28 - 3. Calculate the highest common factor of s and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtzymmjtymzymtzymzz. Give prob of picking 1 j, 1 z, and 2 m.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8))**(-6\/37)\/(s**(-15))**(-32) assuming s is positive.\nAnswer: s**(-17718\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 37 + 221. Let p = 48 - o. Suppose -p*c - 83 = n - 238, n = 3*c + 170. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(324))\/(sqrt(10)\/sqrt(5)*1).\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72*y + 76*y - 113*y)*(626 + 160*y - 626)*(2 - 1 - 2 + (0 - 3 + 1)*(1 - 3 + 4)) to the form a*y + u + f*y**2 and give f.\nAnswer: -28000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20892\/(-10))\/(12\/40). Let j be (-2)\/6 - (-5 - l\/(-12)). Suppose -a = 3*t - j, 4*t - 790 = -a + 3*a. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17852 - -33724. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/165 and -105\/176.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 + 8*j - 5. Let t be i(8). Let q = -66 - t. Solve -2*u + 3*u = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*a + 2 + 25 = 0, 4*a = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, -4\/5, 1.2, -1, -6\/53 in decreasing order.\nAnswer: 1.2, -0.1, -6\/53, -4\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841582917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (1*sqrt(16) + sqrt(4)))\/(sqrt(8)*-2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 345622 * -82.\nAnswer: -28341004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let b = q + 4. Let r be b\/(-2) + (-68)\/(-4). What is the greatest common divisor of r and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/2 + -4)*(-4)\/(-3). Let l be (-5)\/(-2)*102\/(-153)*-3. Solve -l*i - y = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53775.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = 12. Calculate the lowest common multiple of l and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/2 or 116592?\nAnswer: 116592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwejoosowoojojt. What is prob of picking 1 s, 1 e, 1 w, and 1 j?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 1 - 3*v**3 + v + 2*v**2 - 1 to the form r*v**2 + s*v**3 + j*v + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -2 + -1 + -1. What is the second derivative of -x*o - 2*o**2 - o + 3*o wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 27 - 2*q + 8*q**2 - q**3 - 32. Let u be r(8). Solve -u*z - 10 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3841 + -0.312. Let n = i - -0.69. What is n rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 33*x + 38. What is the tens digit of t(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 7*t**2 + 6*t. What is k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 4*j + 4*j + 11*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908870?\nAnswer: 2, 5, 90887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 28100.\nAnswer: 1\/7025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-49))\/((-2)\/(-42)). Let d = -16 + h. Solve 3*f - 16 = -q, -f = d*f - 3*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121112 (base 4) in base 5?\nAnswer: 22442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 60 + 2 + 30 + (-2 - -9) + -4\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 9*n**5\/7 + 174*n**4\/7 + 765*n**3\/7 - 372*n**2 - 20628*n\/7 - 3888 = 0?\nAnswer: -9, -4, -2, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n - 417. Let y be b(89). Solve -y*k = -925*k - 42 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607607*o**3 + 382750 with respect to o.\nAnswer: 1822821*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 11 - 19 = 0. Suppose 4*j - p + 6 = 0. What is the second biggest value in j, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 15552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 37. Suppose 2*r - 3*r + k = 0. What is the greatest common factor of 165 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -58*s - 1. Let g be j(-5). Suppose 2*t + 0*t + 166 = 2*v, 3*v - g = -5*t. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 10148781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -73*c. Let h = -23401 + 280813\/12. Let b(a) be the third derivative of 0*a + 11*a**2 + h*a**4 + 0 + 0*a**3. What is g(b(j))?\nAnswer: -146*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u - 51898 = -2*s + 56*u, 0 = 5*s + 2*u - 129713. Does 98 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y - 2. What is t(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**3 + 7. Let c(p) = p**3 + 12*p**2 + 2*p + 18. Let a be c(-12). Let x(l) = 2 - 7 - 9*l**3 + 6 + 5. Determine a*y(g) + 7*x(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689794.6kg in milligrams?\nAnswer: 689794600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**6 + 461*b**5 - 61*b**4 + 378609*b**2 + b + 1?\nAnswer: 240*b**3 + 27660*b**2 - 1464*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2054078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18677*t. Let c(x) = 582404880*x. What is 3*c(n) + 93550*o(n)?\nAnswer: -18710*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x + 12. Let d be r(-4). Suppose m - 2*t = 3, -4*m + d*t = 5*t - 22. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let j be (-2)\/((-25)\/10 + 2). Let r(a) = -a**2 - 13*a - 50. Let o(w) = j*p(w) + 4*r(w). Let o(l) = 0. Calculate l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q + 783 - 120 + 292 - 122 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i - 26. Let k be l(-4). Let v(b) = -b**3 - 6*b**2 - b - 5. Calculate v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5722762628.\nAnswer: 2, 11, 191, 733, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 190295 = -u + 83*h, -2*u + 3*h = -380620. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 17505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 5*(sqrt(99) + sqrt(11)) + sqrt(11) + sqrt(121)\/(2*sqrt(11)) + (1*1*sqrt(484))\/sqrt(11).\nAnswer: 49*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 50 = -4*t, 0 = 4*w - 6*w + t + 25. Factor 30*d**3 + 319*d**4 + 22*d**5 - 243*d**4 + 14*d**5 + w*d**3.\nAnswer: 4*d**3*(d + 1)*(9*d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 183817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661393 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 489.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhzzhhzhvvzzhzvrz. What is prob of sequence hv?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + n + 1. Let k = -292 + 290. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:43 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o + 7\/6*o**3 + 0*o**2 + 3. Let a(i) be the third derivative of i**5\/30 - i**2. Determine a(f(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 + 230*r**4 - 1692*r**3 - 2156*r**2 + 1694*r + 1926 = 0. What is r?\nAnswer: -1, 1, 9, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 + 7*r**2 - 12*r + 9 - 5. Let p be u(-12). Suppose 2*o + 3*j + 4 - 109 = 0, -4*o - p*j = -200. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 + m**2\/2 + 11*m\/3 - 4.\nAnswer: -(m - 6)*(m - 1)*(m + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = q + x, -5*x = 5*q. Suppose -2*d = q*y - 18, 3*y - 2*d = -26 + 68. Suppose 2*c = y - 2. Solve -c*j - 6 = -31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -72*g - 109. Let r be b(7). Let j = 608 + r. Let p(w) = w**2 + 5*w - 9. Give p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 145*f + 1018. Let n be b(6). Solve -3*r - 20 = n*o, r + 2 = -4*o - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 1779 + 117*r**3 - 1779.\nAnswer: 117*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a + 4*a**4 - 16*a - 35*a**4 - 3*a**3 + 3*a**3 - 2*a**2 + 2*a**3 - 2 to the form w*a**3 + x*a**4 + r*a**2 + h + y*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 658 = -4906. Calculate the remainder when m is divided by 701.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-4 + 7 + -2). Solve p + 14 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(48\/30) + (-896)\/(-182)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-115)\/(-220) - (-54)\/(-198). Factor 4*o**2 + u - 2*o.\nAnswer: (4*o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 15*t**2 + 10*t + 20. Let a be x(-15). Round a to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmqmmqqmqqqq. What is prob of picking 4 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(5)*-2 + 2)**2 - (sqrt(405) + (-2*sqrt(405))**2)).\nAnswer: -1591 - 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 219 + -169 + (1 - 53) + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m - 3. Let z(w) be the first derivative of 0*w**2 - 2\/3*w**3 + 17 + 0*w. Determine d(z(k)).\nAnswer: 30*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/2*p**6 - 2\/3*p**3 + 0 + 29\/20*p**5 - 4\/3*p**2 + 19\/18*p**4 - 3*p. Determine w, given that l(w) = 0.\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 664442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 30092*n\/5 - 30094\/5.\nAnswer: 2*(n - 1)*(n + 15047)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -80, -34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -1. Put -4, n, -7 in descending order.\nAnswer: -4, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/14578962 and -5\/2429827.\nAnswer: 14578962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-154)\/565932)*1\/(-87). Let t = m - -402\/29. Let x = 23711\/88 + t. Find the common denominator of x and -52\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1447 - -12552. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:16 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 + 2*j**3 - 3*j**3 + 3 + 0*j**2 + 5 + 5*j. Let o be y(-6). Suppose -4*h + 5 = -h - f, 4*f - o = -5*h. Solve -h*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 + b. Let l be q(1). Suppose -o + l*o = 10. Solve o + 0 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 6, -216, -1, 2 in descending order.\nAnswer: 7, 6, 2, -1, -2, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.57922 - 14.58005. Let n = m - 13. Round n to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:50 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94*b*t**2 + 168*b + 16*t**2 + 1049*t wrt b?\nAnswer: -94*t**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-204)\/(-110))\/(8\/10) and 9 + 140\/42 + 3788\/(-312).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (342\/(-12))\/((-1)\/2). Let x be 0\/(-2) - c\/(-3). Calculate the highest common factor of 19 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyza when four letters picked without replacement from {a: 1, z: 6, r: 1, y: 11}.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(68\/816)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8) + 3\/6. Suppose 0 = -g - j. Let f be (-3)\/g + -1 + 1. Which is bigger: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/3 + 9242*l**2\/3 - 49120*l = 0. What is l?\nAnswer: 0, 16, 4605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 11}. What is prob of picking 2 m and 1 t?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 2300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1581817 + 1581818.499991. Let u = 0.02 - -1.48. Let c = r - u. What is c rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152397, -1152405, -1152413?\nAnswer: -1152421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q - 9. Let z(r) = -r**3 - 5*r**2 - 2*r + 5. What is z(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 3)*(15 - 24 + 12)*(-231*k**3 + 25715*k**2 - 25715*k**2) to the form v*k + x + a*k**3 + q*k**2 and give a.\nAnswer: -2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(8\/(-48)). Suppose l = -n - 0*n. Let f(o) = -8*o - 6. Let c be f(n). Calculate the greatest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i + 4*g, -39 = -5*i + 5*g + 6. Sort i, 585, -2 in descending order.\nAnswer: 585, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 73*y + 83*y - 4 in the form t + q*y and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18511\/5 or 3701?\nAnswer: 18511\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117031, -233415, -349799, -466183, -582567, -698951?\n\"Answer: -116384*g - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 5*n + 4. Let u(s) = 46*s**2 - 2*s - 47. Let o(z) = -29*z**2 + 2*z + 30. Let p(h) = 8*o(h) + 5*u(h). Give 5*p(b) - 6*y(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1328992*k**3 - 1033776.\nAnswer: -3986976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 8*m - 10. Let b be k(9). Let h be 4 + (b\/(-1))\/1. Let q(w) = w**2 - 5*w + 4. Determine q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 10 - 5 + 7412*h**2.\nAnswer: 7412*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 22 = -0*n + j, -2*n + 4*j = 4. Suppose -4*s + n*s = -2*p + 122, 2*s = 5*p + 115. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 2\/15 (c) -5 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u + 10. Let j(z) = 26*z - 20. Let w(t) = 7*b(t) + 3*j(t). Suppose -3 - 13 = 2*y. What are the prime factors of w(y)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 723 - 335. Let d = 23.6117457 - -364.3878283. Let g = d - q. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342 divided by 2\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 8928?\nAnswer: 2678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215.3 times 236?\nAnswer: -286810.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 51 (b) -7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/819, 3\/8, -2.6, -2, -2\/9 in decreasing order.\nAnswer: 3\/8, 2\/819, -2\/9, -2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 973*s + 24952. Let p be r(-25). What is f in -2*f**3 + 12 - 1\/3*f**4 + 8*f - 5\/3*f**p = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149352 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8096887 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9789 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0b9 - 3?\nAnswer: -a0bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.09 + 3.61. Let q = 15.7 - m. Which is the biggest value? (a) q (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - ((-8)\/(-2) + -2). Suppose -2 = f - r. Let u be (-6)\/(-4)*(4 - f). Is u at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 12*y - 2442 + 2454 = 10*y, 23 = 4*n - 3*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 534, 27701, 72972, 136341, 217802, 317349, 434976, 570677?\n\"Answer: -u**3 + 9058*u**2 - 8523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(13))*4 + sqrt(637) + 1)**2.\nAnswer: -242*sqrt(13) + 1694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3 + 4 + c + 0. Let g = 30 - 32. Let j(d) = -2*d - 2. Let x(i) = g*j(i) - 3*n(i). Differentiate x(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 84*k**3 - 3*k**2 - 9*k - 6. Let f be w(-7). Let a = -16673 - f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19709\/6 - -3285. Let y = -1 + 2. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (82 + -78)*14\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, -1, 7, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 354048*s + 7834374144 = 0. What is s?\nAnswer: 44256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 26*c - 8 = 0. Suppose -2*p = 4*l - 0*l - 5494, c*p - 4*l = 5534. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 + 2*o**4 - 8*o**4 - o**3 + 5*o**3 + o**2 as r*o**2 + i*o**3 + y + g*o + t*o**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 - c**2)*(-11*c**2 - 3*c + 3*c) + (c**4 + 2*c**4 - 2*c**4)*(2 - 4 + 1)*(1 - 1 + 2).\nAnswer: 31*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2440112 - 110?\nAnswer: -2440222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64666525?\nAnswer: 5, 7, 11, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71482 is divided by 10047.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 10*g**2 - 22*g + 14. What is the units digit of w(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.1, 0.2, 124, 38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*o = 62, 2*i + 4*o - 636 = -572 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474 - 473.999751. Round j to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122122 and 37037?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 13*u**2 - 2*u + 31. Calculate the remainder when 8 is divided by t(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 24*d + 21. Let t be r(-24). Suppose 25*b - 12 = t*b. Suppose -2*z + 44 + 2 = 0. Solve z = 5*q + l, -q + l - 2 = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2))\/((-9)\/(-9)). Suppose v = -y - 4*y + 60. List the prime factors of y\/30 + 223\/5.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-21)\/(-12)))\/((-606)\/(-1414))*-42?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h**2. Let u(c) = 7*c**2 - 3*c + 3. Let l(d) = 9*d**2 - 4*d + 4. Let x(y) = -3*l(y) + 4*u(y). Calculate x(p(m)).\nAnswer: 841*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1830840*b + 209498444100.\nAnswer: 4*(b - 228855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.7361 months in years?\nAnswer: 29.394675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6697 and -2823.264509?\nAnswer: 3873.735491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*r - 4 + 14*r + 4.\nAnswer: -564*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 143\/100 + 21\/(-28). Let l = 2\/25 - w. What is the smallest value in -0.1, l, -1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -2, 108, 342, 742, 1350, 2208?\n\"Answer: 7*c**3 - c**2 - 18*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(75) + -2 - (-4 + 2*sqrt(75)))**2 + ((sqrt(75) - (sqrt(75) + 1*sqrt(75)))**2 + sqrt(75) - sqrt(75)) + 2 + -1.\nAnswer: -10*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-2\/15))\/v)\/(v*v**5\/v*v)*(v*v\/v**(1\/4))\/(v\/v**1))\/((v*(v*v**(2\/15)*v)\/v)\/v*v\/(v*v**(-6))*v)**24 assuming v is positive.\nAnswer: v**(-11899\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -8, -2\/13, 1\/2, -2 in increasing order.\nAnswer: -8, -2, -2\/13, 0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + 7*d + 6. Let s be m(-6). What is the second derivative of -16*i**2 - 10*i + i**2 + s*i**2 - 3*i**2 wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -672, -744, -884, -1116, -1464, -1952, -2604?\nAnswer: -3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 4*sqrt(132) + sqrt(132) - sqrt(132))*-1 + (1*sqrt(132)*2 - sqrt(132)))\/((sqrt(108) + sqrt(108) + sqrt(108) + 2*sqrt(108)*-1)*-1).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.97 - -20. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321 + -141. Let g = 179.92 - p. Which is the nearest to -0.1? (a) -3\/7 (b) g (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -93*x + 62. Let m(y) = -62*y + 41. Suppose 0 = -9*g + 4 + 59. Let z(t) = g*m(t) - 5*q(t). Differentiate z(p) wrt p.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*a + 2*h, 17*a + 4*h = 15*a + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a + 388. Calculate the remainder when 104 is divided by t(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 487*y\/4 + 1443\/2.\nAnswer: (y + 6)*(y + 481)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 5) to base 8.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (1 - 2) + 200. Suppose -20 + s = 5*y. Let r be (332\/8 + -19)*50\/125. What is the greatest common factor of y and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) -8 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135 and -104096?\nAnswer: -14052960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -20964.8478 to the nearest one hundred.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(18\/7)*q\/(q*q**(-5\/8)*q*q))\/(q*q*q**(-3)*q*q**(-30)) assuming q is positive.\nAnswer: q**(1747\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925225?\nAnswer: 3, 5, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111010100001010 + 101100?\nAnswer: -1001111010011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (68\/(-12))\/(1\/(-9)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (12 + -17 - -9) + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2\/2 - 4*b + 1. Let u be q(9). Solve -3*a = -m - 1, -a - u*m = 3*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-17 + -7 + 4) - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7 and 13\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1648 in 0.4, 5, 2, 3, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 + 405. What is the highest common factor of 135 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 281*t - 280*t - 130355 = 0, -v + 3*t = -32605. List the prime factors of v.\nAnswer: 2, 5, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*y + 1 + (4 + 3 - 6)*(2*y - 6*y - 4*y))*(3*y - y - 4*y) + 1 - 2*y**2 - 1 to b*y**2 + k*y + v and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4284, -5, -4, 0.04, -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443977 divided by -3929?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -98. Let l(w) = -w**2 + 1. Let z(v) = -42*v - 42. Let q(s) = h*l(s) + z(s). Factor q(o).\nAnswer: -3*(o + 1)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*t - t + x, 1016*x - 1018*x = 48 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5191, 15144, 25097, 35044, 44979?\n\"Answer: -n**3 + 6*n**2 + 9942*n - 4756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/25488 and -93\/16.\nAnswer: 25488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-6))\/(-4)*27. Let k be ((-2)\/6)\/(3\/x). List the prime factors of 44\/4 + 1\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = 4*v - 87, 5*v - 110 = 5*m. Suppose -4 = u - v. Suppose -h = 4*r - 1, -2*r + 0*r + 5*h = -u. Do -2\/17 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/541 and 22\/3.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 34. Solve f*b = k + 7*b + 20, 0 = k + 3*b + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlxl when four letters picked without replacement from {l: 2, x: 1, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*k + 125*g - 122*g, -5*k + 10 = 2*g. Solve k = -31*t + 42*t - 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-3\/13)*l)*l*l*l*l*l\/(l**(-38)*l))\/(l**(-38)*l*l**32) assuming l is positive.\nAnswer: l**(627\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*j + (-2 + 2*j + 2)*(-5 + 2 + 2) - j + 0 + 0 + 11*j + 56*j - 24*j to c*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0*y**2\/y*y*(y*y**(-2\/3)*y)**41 assuming y is positive.\nAnswer: y**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015 = -11*x - 146. What is the remainder when 311 is divided by x?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64420775893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 5*d**3\/6 - 3*d**2\/2 - 2*d. What is the units digit of b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -3\/4, 0.61 in descending order.\nAnswer: 0.61, 0.2, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6906112 or 6906117?\nAnswer: 6906117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -0.4 (c) -2\/427 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -5ea7?\nAnswer: -5ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 - 9 = 5*o, -4*b - 4*o + 12 = 0. Solve 3*t - 4*c = 16, 7*t - 17 = 2*t - b*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89841, -89842, -89843, -89844, -89845?\nAnswer: -89846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -112. Suppose 8*h - 6*h = -3*k + 3045, j*k = -25. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 - (6 - -7)) - (12 + -16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20a93 (base 13) to base 12\nAnswer: 2a130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8052715\/12 or -671059?\nAnswer: -8052715\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258694589, -517389179, -776083769, -1034778359, -1293472949, -1552167539?\nAnswer: -1810862129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7168, 4882, 2596?\n\"Answer: -2286*f + 9454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3099.74991 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -666*v**2. Let s(c) = -2*c. Calculate j(s(k)).\nAnswer: -2664*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.717 times 0.1126?\nAnswer: -0.0807342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -15. Let s be 9 + 130\/(-15) - (-137)\/3. Let p = -43 + s. Solve -3 = 3*l - l + a, 1 = -y*l - p*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/12 + 2*x**3\/3 - 35*x**2 + 9*x. Let g(c) be the third derivative of -c**5\/12 - 15*c**2. Determine a(g(l)).\nAnswer: 10*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooujukkoj. What is prob of picking 1 j and 2 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211262937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 3, f: 1, b: 3, c: 1, e: 1, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1534*v + 3067*v - 1528*v - 175. Let g be p(43). Is 38 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6584, 8466, 10348, 12230?\nAnswer: 14112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131, -138, -143, -146?\n\"Answer: z**2 - 10*z - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 9*v + 4 - 15. Let h(d) be the first derivative of v - 54*d**2 - 24*d + 42*d**3 - 33\/4*d**4. Factor h(t).\nAnswer: -3*(t - 2)**2*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-678*(-12)\/(-144))\/(92\/(-184))\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 - -5 - (-3408 - -3438).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-44992)\/(-40) - 10)\/(26\/845)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/3 + 5*b**4\/3 + 7*b**3\/3 + b**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2 - 0\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-1080)\/117)\/(-8))\/(1\/2). Are 2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-5))**(-23\/6)*x**(-26)\/x**(-11) assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117.4, 1\/5, 0.1, 2 in increasing order.\nAnswer: 0.1, 1\/5, 2, 117.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 3*m**3 - 4*m**3 - 4 + 5 - 5*m**2. What is the least common multiple of v(-4) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 16. Let r be t(3). Let s be (380\/30)\/((-20)\/54). Let i = s + r. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46987.66t in nanograms?\nAnswer: 46987660000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 117*u - 9. Let h be w(5). Suppose -5*a = -a - h. Suppose 2*p = 4*p - a. Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s*s*(s*s**3)\/s*s)**44\/((s**0)**(-1\/14)\/(s*s*s**(-9)*s**(-6))) assuming s is positive.\nAnswer: s**427","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266874427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1438 - 1447. Let a be f\/(-2)*292\/657. Let -8\/9*r + 16\/9 + 2\/9*r**3 - 4\/9*r**a = 0. What is r?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/x**(3\/2)*x)\/x*x*x*x**(5\/2))**38)**(-8) assuming x is positive.\nAnswer: x**(-1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250 = 4*k + k. Let z = k + -111. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, 118, 160, 202, 244, 286?\n\"Answer: 42*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phv when three letters picked without replacement from hwcvp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 56. Calculate the remainder when 431 is divided by k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7965571 is divided by 4963?\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 10*p - 6. Let j(s) = s**2 + 11*s - 7. Let r(i) = -2*j(i) + 3*t(i). What is the hundreds digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43194 - 21144. Suppose 0*k = -3*k - g. Let n be (k\/7)\/(1\/600). What is n rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110594508 + 110594461.999951. Let n = l - -46. Round n to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s**2 - 3*s**2 + s**2 + s**2. Let n(w) = -w**2 - 2. Suppose -o - 2*o = -30. Let l(j) = 1. Let a(v) = o*l(v) + 5*n(v). Give k(a(c)).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 6 - 2)*(-11*y**3 - 5*y**3 + 4*y**3) in the form i*y**2 + r*y + w + s*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j - 7 - 15)*(-91*j - 57*j + 42*j).\nAnswer: 106*j**2 + 2332*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-120) + 1 + 2\/(-6). Calculate the remainder when (-11)\/(-1) + (w - -1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 11*q**2 - 8*q - 20. Let j be i(10). Suppose j = 5*y + 2*p + 32, 0 = 3*y - p + 18 - 1. List the prime factors of ((-8)\/(-3))\/(y\/(-477)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.77831 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from mmsdudsaauums.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1983283*0.5.\nAnswer: -991641.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*r + 664. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-2))\/((-7515)\/(-1670)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 58. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 12*q**2 + 2*q - 69. What is r(-11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30838 + 16346. Is 6 - 2*t\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269.5 - -270. Sort o, -5, -0.66 in descending order.\nAnswer: o, -0.66, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, v: 2, o: 2, y: 1, s: 4, r: 8}. What is prob of sequence ytv?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 3. Let b = 4.01 + o. Let n = b + -0.01. Put 4, n, -1\/11 in increasing order.\nAnswer: -1\/11, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/2*2)\/(-1). Let z = 15 + -15. Suppose j - 9 = -z*u + u, 3 = u. Is s != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 43320\/6151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -0.2, -1378, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15186271\/250 + -60745. Find the common denominator of z and 99\/200.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*s + 302. Let z = s + 78. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2082771, 2082689, 2082607, 2082525, 2082443?\n\"Answer: -82*q + 2082853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 4*b + 44. Let m be h(-8). Suppose -m*k + 135*k = -55. Let t = 4 + 1. Calculate the remainder when k is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 5\/(-10)*-36 - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.22 (c) 3\/7 (d) -6\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1065*t**2 - 3*t + 25. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005144545904 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113.169 + -0.169. Let w = x - 115.08. Let q = 2.08000093 + w. Round q to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 8. Let t(o) = -4. Let i(l) = 4*f(l) + 8*t(l). What are the prime factors of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 0 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 90, 107?\n\"Answer: 17*r + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -13598, -4, -0.2, -2\/21, -8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187073b (base 13) in base 15?\nAnswer: a7ed0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/26)\/(688143\/28951)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 57. Suppose w = 4*p + 21. Let g = -15 - -23. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t + 13. Let i be w(-6). Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7995632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - 0.23. What is the biggest value in 0.2, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.97 to 0 decimal places.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93124 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*(884\/78)\/(-34)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 5*n = 243, l - 66*n + 539 = -63*n + 549 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745041 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60449938 a multiple of 1057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16.48. Let b = 0.08 + n. Let f = 1 + -3. What is the closest to -0.1 in b, f, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2. Let z(y) be the first derivative of -y - 1. Let b = -2856 - -2857. Give b*n(g) + 4*z(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978573 is divided by 1150?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s).\nAnswer: 2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = -s, 8 = -2*m + 6*m. Let d(z) = 11*z + z**2 + 81 - 39 - 24. What is the smallest common multiple of 8 and d(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5 - 369*v - 3 - 2 + 367*v. Let s(k) be the third derivative of -7\/2*k**4 + 0*k**3 + 13*k**2 + 0 + 0*k. Determine s(x(z)).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3671 is divided by 306.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*38\/(-3)*(-6)\/2. Let p = g + 35. What is the third biggest value in p, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 6. Let l be x(-3). Suppose -4*g + 5*c + 12 = -l*g, -27 = 5*g + 4*c. Calculate the remainder when -123*(0 + g\/9) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*r - 3*w + 127, 23 = r + 2*w. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 74*y**3 + 13193*y**2 + 8*y - 2. Let u(w) = 28*w**3 + 4398*w**2 + 3*w - 1. Determine -3*k(t) + 8*u(t).\nAnswer: 2*t**3 - 4395*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 3910\/633?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -6 + (-10)\/2)\/(-1). Which is the nearest to -0.2? (a) -3 (b) 3 (c) -0.062 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*2885\nAnswer: -43275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12995 or -10464?\nAnswer: -12995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 - -209. Let p(q) = 6*q**2 - 5*q - 4. Is 7 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 24. Let k be f(-7). Let r be k\/14 - (-1576)\/28. Let y be r\/66 + (-22)\/121. Sort 5, -0.4, y in descending order.\nAnswer: 5, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -611631404 - -1?\nAnswer: -611631403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.0247\nAnswer: -0.00741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 * 0.21.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -43783?\nAnswer: 43781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9869, -10116, -10517, -11072?\nAnswer: -11781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 1\/26 (c) -4 (d) 4 (e) 0.5 (f) 0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162473*f*j*y - 107*f + 7*y - 27 wrt j.\nAnswer: 162473*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 14*u**2 - 5*u + 102. Determine c(-12).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*m + 3. Let f(o) = -m*o**2 - 2*o**2 + 3*o**2. Let x(w) be the third derivative of w**5\/30 + 10*w**2. What is x(f(a))?\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.32. Let z = -1.58 + s. What is z rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838061?\nAnswer: 41, 69221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14184 + 14220. What is the highest common divisor of 9225 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312*a**3*o - 158*a**3 wrt o.\nAnswer: 312*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 9 = -84. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = -1. Let q = -31 + 34. Suppose i*j - 4*j = q*b - 39, j = 0. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 24*r**2 + 28*r - 30. What is w(25)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f - 23*f - 31*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0707 - 0.1037573\nAnswer: -0.1744573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2533653, 5067349, 7601045, 10134741, 12668437, 15202133?\n\"Answer: 2533696*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0423 - 0.0422132. What is j rounded to 6 dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 2. Let n be z(2). Let w be ((-492)\/(-112)*(-1)\/(-7))\/3. Let o = w + 2\/49. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**5 + 12*t**4 - 6*t**3 + 52*t**2 + 37*t + 2 wrt t?\nAnswer: 720*t**2 + 288*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 1. Let f be b(12). Let a be 2\/(14\/f) + -3. Let z = -2 + 3. What is the nearest to z in a, 3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - r = -1053, -63*u + 68*u = -4*r + 1748. Does 38 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.036\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3373607 and 4427.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - (15 - 5))\/(1\/2). Solve 3*a + 29 - 11 = 5*c, -a = -c + x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20054*y**4 - 20429*y.\nAnswer: -240648*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*j = 3*j - 10, 3*q - 4*j + 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420184897445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313.3415 nanograms to grams.\nAnswer: 0.0000003133415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4441277 and 0.1.\nAnswer: -444127.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 64. Let u be -5 + (-8)\/(56\/105). Let b = 25 + -10. Calculate the remainder when m(u) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -193, -387, -581, -775, -969, -1163?\n\"Answer: -194*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9515411 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 - 504. What is the common denominator of (144\/(-42))\/(y\/(-64)) and -17\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2419*z + 2428*z = 36. Suppose -4*p + 72 = 2*p. Let b = -4 + p. Solve -b*y - 8 = -z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 9*m + 3. Let c(o) = -2*o**2 - 8*o - 2. Let l(j) = 4*c(j) + 3*w(j). Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 20*v - 48. Suppose -187 = 5*l + 6*l. What is the remainder when 12 is divided by s(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*f + 62, 2*f = -5*n + f - 59. Let y be 1\/(-6)*n\/(-9). Let i = 0.4 + -0.3. Sort i, -2\/5, y.\nAnswer: -2\/5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 19. Let l(i) = 2*i**2 + i + 1. Let x(z) = 4*z**2 + 2*z + 2. Let v(y) = -11*l(y) + 6*x(y). Does 7 divide v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13250*o + 147030000 = 13280*o. What is o rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(0 - 1))\/(1\/(-4)). Let m(d) = -26 + 15 - d**3 + q*d**2 + 3*d + 14. Suppose -5*c = -7*s + 2*s - 5, 0 = 4*s + 4*c - 36. Calculate m(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 17 = 132*n - 129*n. Is 487\/61 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -48 (c) -1087 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 4*c, -4*v + v = -2*c - 9. Suppose 30*n - 7*n - 368 = c. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7158 = -u, -2186*u + 3*v + 35808 = -2181*u. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1830*t + 8 - 3690*t + 2 - 10 as g + m*t and give m.\nAnswer: -5520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-4) - (-3198)\/(-492).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1475 + 7379\/5. Find c, given that -l*c + 6\/5*c**2 + 0 - 2\/5*c**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 277, 398, 521, 646?\n\"Answer: w**2 + 118*w + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -458*v**3\/3 - 81572*v**2\/3 - 3636362*v\/3 - 126736.\nAnswer: -2*(v + 89)**2*(229*v + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403981 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 + 3*k + 4. Let z be (-68)\/(-16) - (-2)\/(-8). Suppose -4*m + 4*o - 12 = 0, -9 = 3*m - o - z*o. Determine s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o - 16. Let c = -7 + 7. Let n be (c - 3)*8\/3. What are the prime factors of u(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16901788 and 7?\nAnswer: 118312516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82740737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06972 and 3537.\nAnswer: -246.59964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-3)*0\/1. Let o(q) = -277*q + 2774. Let x be o(10). Sort -10, x, i.\nAnswer: -10, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3, 3*s + 3*k = s - 9. Suppose 2*d + 2*l + s*l - 112 = 0, 0 = 2*d - 3*l - 92. Suppose 2*p = 6*p - d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 2*a - 0*i, 5*i + 15 = 5*a. Let g(x) = -x**2 + 2*x + 3. Let j be g(a). Solve 5*c = -4*n + 6, 0 = n + 2*c - 3 - j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7889207km?\nAnswer: 78892.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nxxxnxnxxxxxnxxn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9733 + -1880. Suppose -2*u = -0*u + l - 3939, 3*l + b = 4*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43844, -43282, -42720?\n\"Answer: 562*w - 44406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220002 + 0?\nAnswer: 10220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 17\/(-6)) + 8078\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8945 and -0.5511.\nAnswer: 4929.5895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-2)\/(-2)))\/((-11522)\/2469)*(-2)\/3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 - 249928*u. Let k(a) = 7*a**2. What is q(k(y))?\nAnswer: -245*y**4 - 1749496*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Suppose 2*u = -9*t + 8*t - 15, -2*t = -4*u - 10. Sort w, t, 5 in descending order.\nAnswer: 5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + o**3 + 4*o**2)*(-9*o - 9*o**2 + 3*o + 2537 - 2539).\nAnswer: -9*o**5 - 6*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 15*n**3 + 51*n**2 - 147*n + 81 = 0.\nAnswer: -27\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j - 27*j + 316*j + j.\nAnswer: 380*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1*(-1)\/(-1)*(-3735)\/(-180).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (760\/(-1064))\/(2 + -1 - 24\/28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543 and 480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 235.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 675\/175 + -4*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*v - 6, -5*k - 5*v - 66 = -86. Suppose -5*l + 225 = -2*l. Suppose l = -2*f + 7*f. Solve 0*r = k*r - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from rzqkqqzjjqqukqq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -2441.\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 22*k - 37. Calculate y(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621 by -27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 5*s. Suppose n + 4*q - 7 = 0, -5*q = 3*n - n - 11. Solve 0 = 3*j - f + n, -j + 0*f - s = 2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 10*h**2 + 2*h - 8. Let j be o(10). What is the third derivative of c**2 - 2*c + 5*c**3 - j*c**4 - 15*c**3 + 15*c**4 - 16*c**3 wrt c?\nAnswer: 72*c - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (99\/44)\/(6\/80). Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425674.8 + -13?\nAnswer: -425687.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388454 divided by 56.\nAnswer: 194227\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*j**2 + 3\/4*j**3 - 3\/4*j - 3\/2.\nAnswer: 3*(j - 1)*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.57 - 0.623. Let s = -4.947 + j. Let q = -378\/5 + 76. Which is the second biggest value? (a) s (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = 3*s - 18*i - 222, 0*s - 2*s + 4*i - 4 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9672 - -9671.9. Let r = -0.07 - 3.93. Put t, r, -1, 3 in increasing order.\nAnswer: r, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 - -10.5. Which is the nearest to 2\/7? (a) -0.09 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 365*d - 12. Let m(q) = -170*q + 7. What is -6*k(j) - 13*m(j)?\nAnswer: 20*j - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2736) - sqrt(2736))*5)**2 - sqrt(2736)) + -3 + (sqrt(19) - sqrt(57)\/sqrt(3)) + -4.\nAnswer: -12*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -1\/6, -0.096, 1\/3, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2779*j - 19486. Give r(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and -48?\nAnswer: 8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310153 (base 6) to base 16.\nAnswer: -6075","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -906 - -907.172. Round y to two decimal places.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 1\/2*u**2 + 0*u + 0*u**3 - 3 - 1\/2*u**4. Find the second derivative of p(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 9*f - 124 = 0. What is the remainder when 119 is divided by f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/94)\/(1\/(((-2277)\/88)\/9))\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 18579730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64584)\/(-14) - 4\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13670 - 4*g**3 - 13670 - g + g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, 5\/3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*w - 192*w - 471*w + 126*w in the form a + r*w and give r.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 701 (base 8) to base 15\nAnswer: 1ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l + o = 52, -2*o = -5*l + 46. Let m be 106\/10 + (-6)\/l. Solve -u + 3*d - m = 0, -2*d = -3*u - 3*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgwg when four letters picked without replacement from wwgwgwgwwwg?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.253, -5, -2 in increasing order.\nAnswer: -5, -2, 1.253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -8*f - 15. Let s(u) = -5*u + 62. Let v(c) = 11*c - 121. Let b(y) = f*v(y) + 9*s(y). Let n(r) = -4*r**2. What is b(n(z))?\nAnswer: 4*z**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Suppose b = 3*y + 32, 2*b + b + 5*y - 110 = 0. Let v be (-10)\/b + 2\/7. Let u(w) = -5*w + v*w + 4*w. What is u(f(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 - 5*l**3\/3 - 4*l**2 + 4*l. What is the remainder when q(-6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u = 14*u - 390 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/269 - 9411\/1076. Calculate the common denominator of p and -29\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/2)*y\/y**36*y**(-3)*y*y**(1\/32)*y assuming y is positive.\nAnswer: y**(-1167\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13123*u**3 - 41*u + 16.\nAnswer: -78738*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -0.8. Let j = -0.06 + 0.26. Let h = w + j. Is h greater than 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -84597?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - 21\/(-2). Let b be 13*((-28)\/35)\/((-1)\/5). Suppose -9*z - b = -22*z. Calculate the greatest common divisor of z and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 1)*(2 - 1 - 3) + 3 - 6 + 0 + 3 + 1 - 5)*(-1 + 1 - 2*l + (-2 + 5 - 1)*(3 - 3 - l)) in the form u*l + o and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 20*f = 468. Let o(m) = m**2 + 2*m. Let j be o(-3). Let d(i) = -i - 2. Let l be d(-6). Solve 3*p - 8 = -2*y, j*y = -l*p - 3 + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n. Let d(c) = 4*c + 5. Let b(i) = 3*i + 4. Let g(y) = -5*b(y) + 4*d(y). Calculate m(g(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 33*k**2 + 2*k + 61. What is o(-33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 18*w - 10. Let p be c(-17). Suppose p = -a + 36. What is the remainder when a is divided by 1\/(-5) + 81\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = 10. Suppose -m*r + 1 = -14. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220 - -1102000101210?\nAnswer: 1102000220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 5*s - 3. Let o be k(-3). Suppose z = -2*z + o. Let q(j) = -j + z + 10 - 7. Determine q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14600 + 14494. Which is greater: d or -135?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, g: 4, n: 3}. Give prob of sequence gb.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - -2 - (-72018)\/18.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - (-7 + 7 - -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*y - 2*m + 3*m = -26, -10*y - 12*y = -27*y - 2*m - 44 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) 53 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*1*(-1 + sqrt(425) + -2 + 2)**2.\nAnswer: -5112 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88119 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26406*p**3 - 3394*p**2 wrt p.\nAnswer: -158436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/12 (c) 7.61 (d) -0.1033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 1 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + (-22 - -19). Suppose -3*r - 5*o = -10, r - 3*o + 4*o = 2. Are h and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30715, 30718, 30721?\nAnswer: 30724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 6.8 (c) 0.5 (d) 0.4 (e) -0.5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (2 + 1)) + (2 + -35 + -6 - -35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1250331 (base 6) to base 3.\nAnswer: -10111101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/5 - 3*o**3 + 18*o**2\/5 + 96*o\/5 - 96\/5 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - d**2 + 0*d**2)*(-12 - 8*d + 12) + (-2*d**3 + 4*d**2 - 4*d**2)*(4 - 4 + 1).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -6. Let a(o) = o**3 + 6*o**2. Let r(p) = p**2. Let l = 16 - 11. Suppose -3*f + c + 27 = 2*f, l*c - 39 = -4*f. Calculate f*r(k) + u*a(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 0, -4*w + 880 = w - 2*q. Suppose -2*b + 267 = 3*u + 3*b, 2*u - w = -b. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 86. Suppose 0 = -x + o - 26. Suppose -3*s + 51 = m - 0*m, 0 = -3*s + 2*m + x. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 27.4015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1645 and 1130955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 + 12*f**3\/5 + 14*f**2\/5.\nAnswer: -2*f**2*(f - 7)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11830 and 10647?\nAnswer: 106470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 70907?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 1, b: 1, w: 2}. What is prob of sequence aww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**38*q)*q*q)\/(q*q*q**(-3\/23)\/q)*q**19*q*q*q\/((q*q\/q**9)\/q)*q assuming q is positive.\nAnswer: q**(1590\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12676595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301266 a multiple of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107606 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y - 6. Let z be (-8)\/y*(-6)\/(-8). Suppose 2*p - 29 = p + z*r, 2*p = -5*r + 103. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3442*x + 3*y + 7 = 3443*x - 4, x - 2*y + 6 - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - 0.13. Let k = 31163.6 + -31164. What is the nearest to k in -3, 3, -7\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**7\/350 + l**6\/200 + 43*l**5\/100 - 17*l**4\/8 + 21*l**3\/5 - 129*l**2 - 1. Find q, given that n(q) = 0.\nAnswer: -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001095066131 rounded to 7 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.16 plus 0.342304674?\nAnswer: -66.817695326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 2*m - 2. Let u be k(4). List the prime factors of (-28)\/(-3)*u\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -2\/9, -160, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 29. Let i be z(0). Let s(u) = -u**2 + 8*u - 46. Let x be s(6). Let j = i + x. Which is the closest to -7? (a) j (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27.8, -0.3, 1 in decreasing order.\nAnswer: 1, -0.3, -27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 - 715 = -4*c - 6*t, -3*c - 5*t - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3080384 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 7*y**3 - 20*y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 4*n**2 + 4. Let q be u(-4). Suppose f - 3 = 4*a + q, -f + 1 = -2*a. Let x = -2 - f. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, o: 5}. What is prob of picking 3 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533 or 4691?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 38*n**2 + 6*n + 12. Let b be p(-4). Suppose 0 = 12*f - 4 - b. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 201 = 5*d, 0 = 4*f - 19*f + d - 5*d - 642 + 114 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w. Let x(c) = -c + 86. Give o(x(h)).\nAnswer: -11*h + 946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t**3 - 121*t**3 + 119*t**3 - 64*t**3 - 30*t**3.\nAnswer: -163*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (sqrt(1573) + sqrt(1573)*-3)**2 - (1 + sqrt(13))*3.\nAnswer: -6295 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3016 divided by -1?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + (sqrt(24)\/sqrt(6))\/sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739098\/217 + (-48)\/84 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314 divided by -157.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let i(n) = 11421501*n**2. Determine i(v(o)).\nAnswer: 45686004*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15316, -30614, -45906, -61192, -76472?\nAnswer: -91746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 9*f + 4*f - 23*f + 5*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, 328, 1466, 3510, 6760, 11516, 18078?\nAnswer: 26746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 the tens digit of 2272875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(3\/9906). Suppose 4*a - 7*a + 4*s + c = 0, s - 1119 = -2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2 - 85*b + 1117. Give i(-22).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 3*a - 2*a)*(0 + 0 + 2*a) - 4 + a**2 + 4 + (-2*a - 4*a - 6*a)*(0*a - 4*a + 2*a) in the form d + u*a + i*a**2 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.6 - 3.4. Let y = -64 - -45. Let f = y - z. Sort 3\/8, 1\/2, f.\nAnswer: 3\/8, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7460, -14817, -22174, -29531?\nAnswer: -36888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24960 and 376.\nAnswer: 1173120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*z**(-1)*z*z*z)*z**(-1\/5)*z*((z**(-1\/5)\/z)\/z)**35 assuming z is positive.\nAnswer: z**(-386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(4\/(-8)). Let s(p) = -p**3 + 10*p**2 + 12*p - 6. Let g be s(11). Put g, -4, j in descending order.\nAnswer: g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05317 rounded to 4 decimal places?\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 31*k**2 + 0*k**3 - 65*k + 1\/5*k**5 + 1\/6*k**4 + 0. Differentiate o(g) with respect to g.\nAnswer: 12*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 1031*l = -1034*l - 6, 4*l - 9 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - q - 3*q - 10*q**2 + 23*q**2. Let j be y(-1). Suppose 0*g - j = -4*g. Solve 17 = -4*f + 3*v, -17 = 3*f - v + g*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, p: 4, l: 2}. Give prob of sequence xlpl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.87762099 to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(242) + 2)*-5)**2 + 4.\nAnswer: -18821 - 4950*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486394.\nAnswer: 2, 243197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*z + 132 + 48, 45 = s + 4*z. Suppose 5*d = -4*i + s, -7 + 2 = -4*d + 3*i. Find the first derivative of 6*r**2 - 23 + 11 + d wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let p be v\/(-6)*(-9)\/(-87). Is p > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 13) to base 9\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-2 + 4 + 1) + (-1 - 4 + 3)*(-12 + 10 - 15))*(-2*r - 2*r + 3*r).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 102. Suppose -71306 = -c*b + 199800. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8863 + 0.1137. Which is the third smallest value? (a) -2 (b) s (c) 13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97491868, -97491875, -97491886, -97491901?\n\"Answer: -2*i**2 - i - 97491865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810608 is divided by 126.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = -3*u, -3*u - 1 + 20 = g. Suppose g*r + 15 = 5*r. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 13*l + 6 - 4 + 2 + l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 - d. Let f(b) = -9*b**3 - 6*b**2 - 4*b. Let l(m) = -f(m) + 4*r(m). What is the third derivative of l(x) wrt x?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251944 is divided by 19379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 5*g**2 - 3*g. Let s be k(-2). Suppose 28 + 92 = s*m - 3*i, 193 = 3*m + 2*i. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = -3. Let s = g + 145. Suppose 0 = 5*w - 4*d - 671, 2*w + 5*d - 419 + s = 0. 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 0 = -3*f + 5*f + 12500. Suppose -c + 2 = 0, -t = -127*c + 124*c + 26790. Let m be (t\/30)\/((-5)\/(f\/4)). Round m to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33*n**3 + 121*n**2 - 315*n + 62. Let d(v) = 5*v**3 - v**2 + v - 2. Let w(q) = -10*d(q) + 2*j(q). Factor w(l).\nAnswer: 4*(l - 2)*(l + 18)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73486 - -32983. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 2*w**2 - 3*w - 5. Let q(t) = -3*t**3 + 3*t**2 - 4*t - 6. Suppose -2*i + 4*i = 4. Suppose -i*k = -7 - 1. What is k*v(o) - 3*q(o)?\nAnswer: o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -118*d**2 - 207*d + 18. Let x(c) = 60*c**2 + 103*c - 10. Let b(j) = -4*m(j) - 7*x(j). What is the second derivative of b(u) wrt u?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*y = 1162 + 59, -4*r - y = -1201. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oolollo. What is prob of sequence llo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 33 = -4*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llakblakgklllaglll. Give prob of sequence kgla.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 13, -4, -2, -3.\nAnswer: -11, -5, -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11779 (base 12) to base 16.\nAnswer: 5c0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t + (-4 + t + 4)*(-4 + 1 + 2))*(21 + 18 - 33).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 = 4*c, 2*c + 4*g - 12 = 6*g. Let d(v) be the first derivative of 1\/7*v**2 - 3 - 4\/7*v + 2\/21*v**c. Determine s, given that d(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose -w*j = 2*s - 7 - 19, -3*j - 15 = 0. Let m = s - 13. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrprprpprpwrprwr. What is prob of picking 2 r?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 28*j - 914. Let s be n(55). Solve s - 587 = -8*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*d + 322*d**4 - 285*d + 144*d - 8*d**4 - 5 + 5 + (3 + 0 - 5)*(-3*d**4 + 3*d**4 - 2*d**4).\nAnswer: 318*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -218, -323?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-105)*(-10)\/4*-16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**4\/4 + 7*u. Let b(f) = -28*f + 22*f + 5*f - 34*f. Calculate n(b(a)).\nAnswer: 11025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*0.06585087.\nAnswer: -0.118531566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*i + 0*i + 5*i)*(2*i**4 - i**4 - 3*i**4).\nAnswer: -2*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015759 to seven dps.\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2383 + 2382.5. Which is the nearest to -4\/7? (a) 0.3 (b) o (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23191 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 18. Let h(u) = -u**2 - 6*u + 8. Let c be h(-8). Let x be t(c). Calculate the common denominator of -49\/8 and ((-292)\/(-24)*x)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114775 take away -0.03?\nAnswer: -1114774.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 58\/8 + (-7)\/28. Suppose 227 - 52 = q*t. Let z be (-12)\/(-4) + -2 - -2. Solve -t = -2*b - z*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*i**2 - 17*i + 335*i**2 + 16*i + 221*i**2.\nAnswer: 413*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104564752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let f be (36\/(-42))\/(3\/(-14)). Suppose 0 = i + f*i - z - 18, 5*i - 3 = -4*z. Suppose -i*r + 4 = m, -7*m + 3*m - 3*r - 11 = 0. Give o(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 118380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287640.78 or -0.19?\nAnswer: 287640.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3080*x + 9859. Determine p(-3).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 281, 279, 277, 275?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u + 2*u**5 + (3*u + 0 + 0)*(-122*u**4 + 110*u**4 - 1095*u**4).\nAnswer: -3319*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:32 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d**2 + 3090*d = 0. What is d?\nAnswer: -618\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-4 + 3*sqrt(14)\/sqrt(2))**2 - (sqrt(7) + (1 + sqrt(847))**2 + sqrt(14)\/(sqrt(2) + sqrt(8))).\nAnswer: -841 - 70*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*q**2 + 6*q - 3*q - 63*q**2 + 2 + q.\nAnswer: 2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*h**4 - 216*h**4 + 322*h**4 + (4*h**3 - 6*h**3 + 3*h**3)*(-3*h + 3*h - 2*h).\nAnswer: 167*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43*5\/(-10)*(-144)\/(-72).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 47019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -8. Let q = w - 8.4. Let r = 1182 + -1180. Sort q, 4, r, 3\/2 in decreasing order.\nAnswer: 4, r, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(224))\/(sqrt(1008)*2) + ((2*sqrt(300) + sqrt(300) + sqrt(300))\/sqrt(6) + -2)**2.\nAnswer: -241*sqrt(2)\/3 + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 + sqrt(405) + 4)*1 + 0)**2.\nAnswer: 100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 28 + 2*a**2 - a**3 - 42*a - 40*a + 81*a to the form w + i*a**2 + u*a + l*a**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*b*k**6 - 2*b*k**3 - 49*b*k**2 - 2*k**2 wrt k?\nAnswer: -18720*b*k**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295989039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, a: 1}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 11, 2.5, -0.818, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152.5 - -152.46. What is the second smallest value in k, -5, 0.5, 0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1420510154?\nAnswer: -1420510150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 3*u - 1. Let d(r) = -3*r. Let q be (-3 - 0)\/(43\/(1720\/(-30))). Give q*d(h) + 3*o(h).\nAnswer: -3*h**2 - 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/30 + j**5\/60 - 6*j**2. What is the third derivative of x(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -482.\nAnswer: 4\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**3 - 8 + t**3 + 11*t**3.\nAnswer: -13*t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b349a (base 16) in base 4?\nAnswer: 2303102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/229 and 26\/3.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxhxxhhxp. What is prob of picking 1 p, 2 x, and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 20. Let o be (6\/3)\/(j\/2). Let f(x) = 3*x**3 + x**2. Let u be f(o). Solve -u*i + 3 = 3*y, 0*y - 2*y - 3*i = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9250.719 centuries?\nAnswer: 925071.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = -54*u - 6972. Let w = -498 - u. Solve w = -b - b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/5))**(-2\/47)*(q\/(q*q**1*q*q)*q)**(-33))**(-10\/3) assuming q is positive.\nAnswer: q**(-10336\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 - 23*r**4 + 28*r**3 + 33 - 33 + 22*r**2 + 2*r - 26*r**2 as v + y*r**3 + c*r**4 + g*r + a*r**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-3)*j)\/j*j*j)\/(j*j*((j\/j**(-16\/3))\/j)\/j))\/(j\/(j\/((j**(-3\/11)*j)\/j))*j*j**(-2\/5)\/j))**36 assuming j is positive.\nAnswer: j**(-13188\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k + 5*z + 16, 3*k - 3*z = -36. Let u(r) = 8*r - 11. Suppose 0 = -i - 0*i. Let a = 4 - i. Let o(h) = 3*h - 4. Calculate a*u(s) + k*o(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.024 - 0.024. Is a > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v - 55*v - 84 = 0. What is the highest common divisor of 32 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 + 0 + -4 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllqqql. What is prob of picking 3 q and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305984 and 23744.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101 + -1000?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595535 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669964 to the power of 1\/2, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 17, 36, 61, 92, 129, 172?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:03 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -36756597700 to the nearest 1000000.\nAnswer: -36757000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-7)\/(-3) - (104 - 97). What is the second biggest value in 8, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12129 + 2217 = 1258*x + 2668 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 6 = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.200576 millimeters in centimeters?\nAnswer: 0.6200576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - 1. Let t be (-4)\/(8\/(-10)) - (6 - 3). Let r be v\/12 - t\/(-4). Which is the second smallest value? (a) r (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.2 (c) 1 (d) 21860 (e) -42\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*-3 - (1 + (-1 + sqrt(7))**2).\nAnswer: -9 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230*t**6 - 9906*t**3 + 1426*t**2 - 866*t.\nAnswer: -27600*t**3 - 59436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*1*4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -82. Let f(j) = j**2 - 9*j + 2. Let i be f(q). Suppose 751 = 4*k - b - 2*b, 563 = 3*k - i*b. List the prime factors of k.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -2*k - 3*i, -k + 9 = i. Find the second derivative of 19*b**5 - k*b + 14*b - 38*b wrt b.\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*x + x**2 - 2532 + 1266 + 1259 in the form f*x + a*x**2 + j and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21612 divided by 836?\nAnswer: 5403\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1011110111101 (base 2) to base 14\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - 34277?\nAnswer: -34330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13153184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633748 = -79*o + 253817. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/7 (b) -190 (c) 1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2045226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14988 - 6711.\nAnswer: -6710.85012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 6*z + 5. Let b = -13 + 19. Let p(k) = -4*k**2 - 7*k - 6. Calculate b*c(y) + 5*p(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 73926*i\/13 - 114106572\/13.\nAnswer: -2*(i - 35349)*(i - 1614)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Let t be (y\/(-2))\/((-6)\/(-48)). Suppose 0 = -t*q - 5*a + 46, -8 = -0*q - q - 3*a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1019, 2, -33, 4 in increasing order.\nAnswer: -1019, -33, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -140215498*0.5\nAnswer: -70107749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 14, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a5a (base 11) in base 12?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2) + 1)*-4. Let t = 13305.9 - 13306. Let n = 0.07 + 0.23. Which is the closest to t? (a) 0.4 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 2. Let i = -6 - z. Which is the closest to i? (a) 2\/13 (b) -3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 83. Let n be (-2)\/(-10) + v\/10. Suppose -5*j = -15 + n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2350 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-12)\/(-42)*((-14)\/(-7))\/52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 1, c: 1, g: 1, i: 1}. Give prob of picking 4 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 4*d + 4*d)*(1 + 1 - 1)*(1 + d - 1) to n + b*d + p*d**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792173?\nAnswer: 103, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 7. Let p be q(-10). Determine b, given that -13*b**2 + 12*b**2 + 0 + b**p + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215435 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 70. Let u = t - -24. Solve 4*p + 2 = u*p, 4*c = p - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.04, 3\/8, -0.02, -0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54919a (base 11) to base 6.\nAnswer: 30435404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 80763680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: How many minutes are there between 2:04 AM and 12:35 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -86. Let s be ((-1)\/(-2) - -2)*12\/k. Is ((-12)\/(-15))\/(s\/1835) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q - 21. Let r be x(-6). What is the highest common divisor of 153 and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/112 + d**7\/35 - 3*d**6\/40 - 3*d**2 + 201*d + 2. Factor n(h).\nAnswer: 3*h**3*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27321 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 182845.\nAnswer: 548535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1458))\/(sqrt(45)\/(sqrt(5)*3 + sqrt(5))).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -191\/8*c - 9\/8*c**2 - 21\/4 = 0.\nAnswer: -21, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/9 or -3?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 - 18*k + 1. Let z(v) = -v**2 + v - 1. What is -a(h) - 3*z(h)?\nAnswer: -5*h**2 + 15*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a + 3. Calculate the lowest common multiple of j(-4) and 2*10\/6*21\/14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453735 is divided by 1129.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -17. Suppose 5*g + 8 + 15 = -4*p, -3*p = 2*g + x. List the prime factors of 3\/(1*g) + 13.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*h - 6 + 4, -5 = 3*h - 5*v. Let c(q) = -q**3 - 36*q**2 + 4*q + 144. Let a be c(-36). Suppose a = 6*y - 95 + 77. Solve 8*g - y*g = -h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/4 - o. Let k(v) = -6*v**2 + 10*v**2 - v**2. Give k(u(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29043 minus -1.457517?\nAnswer: -29041.542483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84037 is divided by 13985.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-52))\/(((-25)\/(-35))\/(2\/(-7)))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2837 divide 227796915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + (sqrt(1216) - (0 + sqrt(1216) + 1)))**2 - (sqrt(1216) + (0 + sqrt(1216) + sqrt(1216))**2 + 2))*-1.\nAnswer: 24*sqrt(19) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**3*u - 1321*r**3 - 47*r**2*u + 5*u wrt r.\nAnswer: -12*u - 7926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -18, -28, -44, -66, -94?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16710481.9 rounded to the nearest one thousand?\nAnswer: 16710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 - 2*o**2 - 5*o + 5. Let v(h) = 5*h**3 - 2*h**2 - 6*h + 6. Let y(n) = 4*s(n) - 3*v(n). Determine y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 910 = 0. Suppose 3*d - 641 = -b. Calculate the greatest common factor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/244 and 47\/239242.\nAnswer: 478484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16 + 11 + h + 10 + 18 - 66. What is d(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270928?\nAnswer: 2, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-23 - -42) - 29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y*z**3 + 6*y*z + 3*y + 30*z**4 wrt z.\nAnswer: 6*y*z + 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3. Let g be h(-3). Let q(a) = 26*a - 29 - g - 21*a. List the prime factors of q(17).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 22 = 2*s, 2*s - 4*x - 942 = -892 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/60 - 35*j**4\/24 + 20*j**3\/3 - 31*j**2. Let q(u) be the first derivative of m(u). Differentiate q(l) with respect to l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g, -2*g - 12 = 2*f. Let k be f*(-2 - (-39)\/9). Is (k\/(-6))\/(4\/372) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, -9, 0 in increasing order.\nAnswer: -34, -9, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2166.6 + -1925. Let q = v - 241. Suppose -5*d = 5*j + 20, -3*d + j + 1 = -3. Which is the nearest to d? (a) -5 (b) q (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -1.19?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 169584*n - 169580*n - 3*u, 0 = -10*n - 5*u - 185 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -43*x**8\/112 - x**4\/6 - 146*x**2. Find the second derivative of b(o) wrt o.\nAnswer: -2580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156156454?\nAnswer: 2, 41, 131, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + -1 + 40 - 5. Let y be (33 - b) + 1*-4. Solve 3*g + 2*g = 3*h - 34, y = -g + h - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -15 (b) -4 (c) -4.16 (d) -145\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/8)*a)\/a*a*a*a\/((a\/(a*a\/(a\/(a\/a**(2\/5)))))\/a))\/((a*(a\/(a\/(a\/(a*a\/(a\/a**(1\/10))))))\/a*a)\/(a**(-1\/24)\/a)) assuming a is positive.\nAnswer: a**(227\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4*h + 7)*(1 + 0 + 1)*(2*h**3 - 2*h**3 + 3*h**3) to r*h**3 + p + i*h + x*h**2 + v*h**4 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*-1 + sqrt(2835))\/(sqrt(5) + sqrt(880)\/sqrt(11))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f - 87 - 3*f**2 + 88 + 2*f**2 + 0*f**2. Let c be t(-8). What is the highest common factor of 175 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:53 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5159*u**2 - 1716*u**2 - 1720*u**2 - 4*u**3 - 1723*u**2 + 5*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/(-6) + (-32)\/(-12). Solve -11 = -r*o - p, p + 6 - 13 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2300, 5431, 8562?\nAnswer: 11693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 222 = 35*q. Let s(b) = -2*b**2 - 7*b - 7. Let p(y) = 4*y**2 + 14*y + 15. Calculate q*p(l) - 13*s(l).\nAnswer: 2*l**2 + 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-5)\/(-6)*(-10)\/25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53150 is divided by 4825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = -2*g, 2*u + 0*u = -4*g - 10. Let q(n) be the third derivative of g*n - 21\/40*n**5 - 5*n**2 + n**3 + 11\/160*n**6 + 0 + 9\/8*n**4. Factor q(o).\nAnswer: 3*(o - 2)**2*(11*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*g - 7*p - 1725, 2*g + p = 690. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + s + 130 = -0*s, -s = -4*d + 258. Let l(w) = w**3 - w**2 + w - 30. Let t be l(0). Let a = t + d. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**2 + 14*n + 13*n + 12*n**2 - 27*n. Let y(h) = -h**3 + 2*h**2 - h. Determine 2*r(w) - 2*y(w).\nAnswer: 2*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 450\/7*y - 30\/7*y**2 + 2\/21*y**3 - 98. Suppose v(g) = 0. What is g?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 2*y**3 - 4*y**3)*(-2*y**2 + 0*y**2 + 0*y**2) - y**5 - 2*y**4 + 2*y**4 - 21*y**5 - 49*y**5 + 17*y**5.\nAnswer: -58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a. Let t(m) = -345962*m. Determine t(g(b)).\nAnswer: 1037886*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 70, 61, 56?\n\"Answer: 2*r**2 - 19*r + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*(x\/(((x*x\/((x*x**(-1\/8))\/x)*x*x)\/x)\/x)*x)\/x*x*x*x)**(-28\/5)\/(x*x**4\/x*x)**18 assuming x is positive.\nAnswer: x**(-1173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 17 - 17)*(y**2 + 5*y**2 - 4*y**2)*(0 - 1 + 0) + 136 - 136 + 5*y**3 as w*y**2 + x*y**3 + q*y + i and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38688 = 365*i - 373*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 - -164. List the prime factors of s\/(-4) - (-2 + 12285\/(-12)).\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922793.8kg in tonnes?\nAnswer: 922.7938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 8*t**2 + 1. Let i be b(1). Solve 1 = -i*w + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 1114?\nAnswer: 14482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:59 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20*4)\/((-28)\/(-20))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by (-104)\/(-78)*18\/(-8) - -1339.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -18*y - 62. What are the prime factors of q(-14)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 440737740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 385459, 385453, 385447, 385441, 385435, 385429?\n\"Answer: -6*y + 385465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4.4, -2253.5.\nAnswer: -2253.5, -1\/5, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 1, 2, 1, -2, -7, -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1860404644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459369 = -67*m + 5209. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1936 divided by -4\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 110348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 11*a - 10. Suppose 0 = -3*u - 4*s - 23, 4*s = 3*u + 37 - 6. Let f = u - -16. What is the units digit of n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -36, 1 in decreasing order.\nAnswer: 3, 1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60519039 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1961994*n**3*r*u + 4*n**2*r**2*u - n*r**2 + 7*r**2*u - 2*r**2 - 12439*r + 15*u wrt n?\nAnswer: 11771964*n*r*u + 8*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840*h**2 + h**3 - 840*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 65?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -23*b + 16. Let c(u) = -14 - u**b + 0*u + 13 + 2*u - 3*u. Give c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/3)\/(2\/(-3)). What is the greatest common divisor of 48 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 413388.\nAnswer: 2893716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:33 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqcgqgpckccqfqqq. Give prob of sequence qff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*s + 3)*(-s + 4*s + s) + s**2 - 2*s**2 + 2*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*u = 12. Suppose u*c = -57 + 267. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 394, 3, 4, 117, -3, 0 in descending order.\nAnswer: 394, 117, 4, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - a**3 - 3*a**3 + a**3 + 3*a**2 - 3*a**2 + (0 - a**2 + 0)*(3*a - 2*a - 3*a) - a**3 - a**3 + 3*a**3 - a**2 + 12*a**3 + 36*a - 217 - 34*a - 10*a**3.\nAnswer: 7*a**3 - a**2 + 2*a - 217","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 827387.4nm in centimeters?\nAnswer: 0.08273874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 13*m**3\/6 - 4*m. Let g(h) = 2*h. Determine c(g(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-7))\/(-1*1*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1108690 - -1627199. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/4)*n*n)\/((n*n*n**(5\/3))\/n))**(-8) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -319.07959\nAnswer: 1276.31836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 656*f**2. Let d(c) = -381*c**2. Calculate d(k(t)).\nAnswer: -163958016*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 384150960 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 107*r + 509. Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(40\/18) + -2. What is the nearest to 0.1 in -4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111110 - 100110111101?\nAnswer: -111100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 10*a + 11. Let l be d(11). Let s(h) be the second derivative of 0*h**2 + 0*h**3 + 3\/4*h**4 + l + 2*h. Let g(k) = -k. Give s(g(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 7. Let d = 0.7 + g. Is d > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108751.\nAnswer: 3, 73, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 74*p = -86*p - 6, 0 = -b + 64*p - 65*p - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/35360 and 125\/58344?\nAnswer: 1166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17141, -17334, -17553, -17798, -18069, -18366, -18689?\n\"Answer: -13*s**2 - 154*s - 16974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**3 - z - 1. Let l = 5 - 6. Let a be r(l). Suppose m + 11 = 13*k - 17, -m + 3*k - 18 = 0. Is a at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 7*y + 8*y. Let m(p) = -p**3 - 4*p**2 + 10*p + 10. Let i be m(y). Suppose o = -4*o + 110. What is the highest common factor of i and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 28)\/2 - -4. Suppose -7*c - r = -2*c, 3*c = v - 24. Calculate the greatest common factor of 108 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 27 - 4*q + q - 24 - 6*q + 4*q. Determine p(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.72, 147\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t - 160 = 71*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187068 and 1823913.\nAnswer: 7295652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 g, and 1 w when four letters picked without replacement from ffqfwgg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g - 2)*(-4*g**2 - 9*g + 9*g) + (-7687 - 7507 + 14857)*(2*g - g - 4*g)*(4 - 4 + g**2).\nAnswer: 1007*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4150482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 11*k - 5. Let y be x(-5). Let l(g) = 3*g - 3. Let f be l(y). Let h = 2 + -3. What is the biggest value in h, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose -3*o - 4*h = 5, 5*o - 20 = -0*h - h. Solve 3*n + 0*n + 3*t = 18, -3*n + o*t - 6 = r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.57945 meters to millimeters.\nAnswer: 33579.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z. Let h(s) = 973*s. Calculate h(u(y)).\nAnswer: 5838*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Let l(q) = 2*q**3 - 2*q**2 - 4*q + 11. Let k be l(2). Solve v*b + k = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -14.2. Let u = r - -0.2. Let w = 87 + -83. Which is the third biggest value? (a) w (b) u (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 93 + 696. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Suppose 92 = 5*z - r*z. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 719 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15288692, -15288690, -15288688, -15288686, -15288684, -15288682?\nAnswer: -15288680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1024 - 1119. Let x = -131061670.2999837 - -131061765.3. Let b = a + x. What is b rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34cc77 (base 14) to base 7\nAnswer: 21215110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(4\/(-21)) + 3. Does 7 divide (-66)\/(-4)*16\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) -2\/5 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 2. Let g(j) be the second derivative of j**3\/3 - 5*j**2\/2 - j. Suppose -z + 9 = -2*h + 1, 0 = 4*z - h - 11. Calculate z*g(a) + 5*t(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2270 divided by -1221\nAnswer: -2270\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 2. Let f be j(2). Suppose 3*s - 100 = -2*i - 2*s, -3*i - 3*s + 132 = f. Let k = i + -24. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1934, -1618, -796, 784, 3374, 7226, 12592, 19724?\n\"Answer: 42*i**3 + i**2 + 19*i - 1996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6302 minus -0.2?\nAnswer: -6301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2808 and 39\/40?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 483068512 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-30)*50\/(-120)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153036 divided by -4251.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110111101000101 + 0?\nAnswer: -10000110111101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10*r - 10885 = -3*i, -43474 = -4*r - i. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(((-1)\/(-369))\/((39\/3)\/(-78)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*f = -14, -3*f = 2*d + 2*f - 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 312*t**2 + 5598*t + 104. Calculate o(50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 + 6*b - 1. Let k be m(-6). Let z be k + 6*6\/9. Suppose -37 + z = -2*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(-4 + (-62)\/(-15)). Suppose -i**2 + 8*i**3 - 16*i**3 + p*i**2 + 9*i**3 = 0. What is i?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 273*j - 269*j + 2, -19 = -2*j + 5*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Let w = 2 + m. Suppose w*b - 4*b - 40 = 0. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 4) - (12 + 14) - -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816424 is divided by 328?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(25\/12)*22*(-615)\/(-8118)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3971\/(-1311) + 54\/1863 - (-90)\/33?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 39 = 2*h. Let k = -10 + h. Suppose k*g - 20 = -2*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(504) + sqrt(504) + (sqrt(504) - 5*sqrt(504))))\/sqrt(9))\/(sqrt(72)\/((sqrt(27)*4)\/sqrt(3))).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2499)\/476*(-1248)\/(-182)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - l - 12 = 2*l, d - 2*l = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22382\/3 - -7388. Let p = c - -1538\/21. Factor -12\/7*q**2 + 16\/7 - 8\/7*q**3 + p*q**4 + 16\/7*q.\nAnswer: 4*(q - 2)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 2. Let c = -4 + 7. Let i be g(c). Solve 0 = -4*h + 16, -2*s + 36 - 14 = i*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and 4.9.\nAnswer: -1.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 306327 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16886122 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 19*f + 2*f - 21*f - 94 in the form y*f + z*f**2 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.5869 - -0.5569. Let w = -26.09 + -4.91. Let p = v - w. Which is the nearest to 4? (a) 4 (b) p (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3152)\/(-2)*6\/12. Let b = h - 59. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-100)\/(-2) + (-72)\/18?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88521805 divided by -85\nAnswer: -1041433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4321.6 (b) -0.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4554 and 1656.\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84382\/5 - (-9 + 141\/15).\nAnswer: 2, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-9))\/(((-424)\/954)\/(88\/(-4719))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc - -4?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115\/20*(-8)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(231))\/sqrt(11))\/((sqrt(7) - (sqrt(7) - sqrt(7)*2))*-3) + 4*(1 + 1*sqrt(363))**2 + 2.\nAnswer: 527*sqrt(3)\/6 + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7158\/(-90) - 4\/6. Let h = -3283\/40 - v. Let t = h + 121\/56. Sort -1\/4, 0.3, t in descending order.\nAnswer: 0.3, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -157*g**3 - g**2. Let a be v(-1). What is the highest common factor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60\/7, 2, 2\/3, -30, -77?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001001 + -1100000011111110011?\nAnswer: -1100000101011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/441? (a) 4 (b) -2 (c) -296 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 18 = 2*y, -4*y + 22 = -j. Let m(w) = -2 + 10 + y + w. Let b be m(-10). Calculate the greatest common divisor of b and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 39 - 97\/2*o**2 - 5*o + 0*o**3 + 0*o**4 + 59\/10*o**5. Differentiate h(u) wrt u.\nAnswer: 354*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344 + -250. Is i a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318680?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 4*m + 2*m)*(2*m + 2*m - 6*m)*(63 - 81 + 53).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -34. Let x = h - -8. Is -11 + 7 + (4 - x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5926, 10492, 15058, 19624, 24190?\nAnswer: 28756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1430 and 11765.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -18*w**2. Let r(x) = 2*x + 155. Let b be r(0). Let t(y) = 154*y - 310*y + b*y. Give t(h(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -21, -39, -61, -87, -117?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 2*z - 4. Suppose -i - 4*m = 4, -i + 2*m - 3*m = -2. Let a be v(i). Suppose -a*k + 74 = w, -k - 4*k + 77 = w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -673*l**5 - 572*l**2.\nAnswer: -40380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/12)\/5*19\/(912\/(-576))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 2937 + 1469 + 43*s + 6*s**2 - 38*s + 1468.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 284949245 = 51849245. What is q rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 6. Suppose i - 5*i - 20 = 0. Let p be l(i). Is (-483)\/12*(-3 - p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 27*j + 17. Let l(q) = -3*q**2 - 27*q + 15. Give 5*l(s) - 4*x(s).\nAnswer: s**2 - 27*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -142. Suppose -x + l*z = 22, 0 = -x + 6*x + 2*z. Which is smaller: 16 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 311.9, 3, 1634, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.056 + -0.906. Let a = y - -14.35. Let q = -13.49867 + a. Round q to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 + 326. Suppose -2*j = -0 - 16. What is the least common multiple of j and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/5 + 63496*o**2\/5 - 190514*o\/5 - 254008\/5 = 0. What is o?\nAnswer: -31751, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 10.553993.\nAnswer: -1.58309895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 47. Suppose -3*w + 5*n = -140, -n = -4*w + 2*n + 172. Suppose 2*f - m = m + w, 0 = m + 5. Calculate the remainder when f is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111385 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-8 - -9) + -8 - 3 - 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6250 or 6629?\nAnswer: 6629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 - 4*x - 10. What is f(4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294798 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*g*i**3*n**3 - 3*g*i**2*n**2 + 2*g*i**2 + 224*g*i*n**3 - 36*g - i**3*n**2 - 39*i**3*n wrt n.\nAnswer: -312*g*i**3 + 1344*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:53 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*44\/(-209). Which is the second biggest value? (a) -2 (b) d (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4246*h**2 + 25470*h - 4. Calculate f(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 947?\nAnswer: 946.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*v = 1210, 2*h + 2*v = -737 + 129. Let w = -201 - h. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/4*s**4 + 1\/3*s**3 + 0 + 0*s**2 + 2*s. What is the second derivative of h(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 236*o**3 - 892?\nAnswer: 708*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*q - 20, q + 4*c - 1 = -6. Let k(b) = -b**2 - 6*b. Suppose -2*v + 38 = -5*g, -4*g - 2*v + 8 = 24. Let x be k(g). Put q, 4, x in ascending order.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 39 + 20*s + (5*s + 0*s - 3*s)*(-2 + 0 - 1) + (3 + 3 - 4)*(4*s + 2*s - s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -127, -196, -265, -334?\n\"Answer: -69*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c - 131. What is f(-21)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9.7 times 1169.91\nAnswer: -11348.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3298238 (base 12) in base 9?\nAnswer: -20147068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-5)\/(-14) - 8\/(-56)). Solve 3*f + 4*q = -10, d*f = 2*q - q - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 5*z, -4*g + 5*z - 3 = -26. Suppose 0 = m + m - 2*u - 2, -3*m + 1 = -2*u. What are the prime factors of 13 + m + -2 + g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8381.566 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k + 4*k**4 + 0*k**4 - 2*k**4 + (-4*k + 5*k - 5*k)*(-k**3 - 2*k**3 - 4*k**3) + 3*k**3 - k**4 - 3*k**3 + 0*k + 0*k - 3*k**4 - 2*k**4 - k**4 + 5*k**4.\nAnswer: 28*k**4 + 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 5, 52, 151, 320, 577?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3946?\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekerurr. What is prob of sequence rrur?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 117 = -2*i + 119, -i = -3*y - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1379 and 0.06.\nAnswer: -82.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -213 divided by 103778\nAnswer: -213\/103778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) + 26\/(1248\/180).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84714.9416 rounded to the nearest one thousand?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**7\/210 - 11*a**6\/120 - a**5\/30 + 23*a**4\/6 + 20*a**3 - 349*a**2. What is g in i(g) = 0?\nAnswer: -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 + 0 = 0. Let v be (-16)\/(-5) + q\/5. Suppose -o = 2*i - 0*o - 222, -4*i = -v*o - 464. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*45517\nAnswer: 227585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3438 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 14*l**3\/3 + 1579. Let w(a) = -a**3 - 4*a**2 + 4*a - 3. Let d be w(-5). Let i(p) = p - 2*p - d*p + p. Give i(h(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -2.03. Which is the second smallest value? (a) p (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-9 + 19 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1399 in 4\/7, 120, 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 779666012 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 40*p)*(0 + 5 - 2 + 5 + 6).\nAnswer: 560*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4 + 3 + 225*z - 223*z. Let p be a(-4). Which is greater: -1\/11 or p?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 3*y**4 + 2*y**4 + (-2*y**3 - y**3 + 0*y**3)*(-12 + 12 - 20*y) - 3 + 3 + 2*y**4 - 4*y**4 + 4*y**4 + y**4 - 1 - 2*y**4 + 1.\nAnswer: 62*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*((-25)\/4)\/(-5). Let y = -5 - v. Put y, -1, -4 in ascending order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68791800 divided by -23100?\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/4))**(2\/43)*(q**(1\/2))**6)**(1\/8) assuming q is positive.\nAnswer: q**(261\/688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 348777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -33 + 3. What is the second derivative of -5018*d - 21*d**2 + 3*d**j + 4993*d - 18*d**2 - 3 wrt d?\nAnswer: 18*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 2*f)*(-f**2 - 3*f**2 + 7*f**2).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 54*v**2 + 1. Let l(q) = -73*q**3 - q**2 + q + 2. Let j be l(-1). Let c(a) = -j*a + 148*a - 73*a. What is c(y(t))?\nAnswer: 108*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -29. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/162015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 45*f**2 + 170*f**2 + 23*f**2)*(0 - 1 + 0)*(-4*f + 4*f - 3*f) to the form r*f**3 + y*f + h + g*f**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13732 + 462 = -258*k + 2584 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -25*t**5 + 23420*t**4 - 65440*t**3 + 56050*t**2 - 9335*t - 4670 = 0.\nAnswer: -1\/5, 1, 934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (49\/3)\/(((-3)\/3)\/((-447)\/(-149)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099198563?\nAnswer: 3, 17, 21552913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 10 - 5 + 5 - 4 + (-4 + 2 + 3)*(5 - 2 - 1) + 1 - 1 + 2)*(-3*b + b + 7*b)*(4*b - 4*b + b).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((16\/(-5))\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2. Let j(u) be the second derivative of -u**6\/120 + 31*u**4\/12 + 3*u. Let x(a) be the third derivative of j(a). Calculate s(x(t)).\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -822, -820, -818?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -11, -5\/12, -0.1, 0.1, 1.4, 3\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236379107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*a**2 + 2 - 2)*(2 + 0 - 4) + 38*a - 38*a + 24*a**2)*(-526 + a + 263 + 264) to the form w*a**3 + v + o*a**2 + j*a and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -88 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 107\/105 - (-1)\/(-1). Let q = 2770 - 2770. Is q less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 85*f + 3. What is k(-28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 3*u + 2. Let i be o(-4). Let h(q) be the third derivative of -q**4\/8 + 2*q**3\/3 + 2*q**2 + 321. List the prime factors of h(i).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 87 - 45 + 13*z as d + t*z and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/8? (a) -5 (b) -3733 (c) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b. Let c(f) = 50*f**2 - 106*f**2 + 53*f**2. Calculate c(u(s)).\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(-25*x**4 + 104*x**4 - 461*x**4) - 4 + 2 + 2 + 4*x**5.\nAnswer: -378*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 488 = 5*a, -4*a + 8*a - 3*i = 412. Suppose -87*x - 6825 = -a*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o - 3. Let r be -1 - (-13 - -1)\/3. Suppose 2*a = 3*x + 7, 7*a - 11 = 3*a + r*x. Let t be p(a). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:24 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -632 and 0.0399.\nAnswer: -631.9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185679 is divided by 7141?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*x + 5*j - 2*j, 2*x - 71 = -5*j. Solve -x*b + 3 = -20*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 - 14948\/(-14). Calculate the common denominator of -29\/22 and (f\/(-80))\/(2 - -1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*x**2 - 5 + 5.\nAnswer: -238*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1486, 924, -34, -1400, -3186, -5404?\nAnswer: -8066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 94150?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51632 + 51510. Let v = 0.2 - 1.2. Is v > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 16}. Give prob of sequence zkz.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 967 + -951. Are -0.04 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) 1\/3 (c) 8 (d) -31.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 83 - v**2 + 2*v - 94 + 2*v**3 - 2*v**4 to the form p*v**4 + f*v**2 + d*v + x + s*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 580.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.652306l?\nAnswer: 2652.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -3612538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 65. Let y(r) = r - 6. Let t(c) = -2*c + 13. Let w(s) = 6*t(s) + 13*y(s). What is w(i(l))?\nAnswer: -2*l**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19*d**2 + 80*d - 11. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 225130 divided by -94?\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431 - -203?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 753*q + 8*q**2 + 2*q**2 - 744*q + 26 - 50 + 0*q**2.\nAnswer: 10*q**2 + 9*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -23370 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.033 + -0.033077. What is u rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5 = f. Suppose f*w + 2*i + 112 = -10, -4*w = -5*i + 124. Let q = -15 - w. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**3 - 8*f + 15*f + 13*f - 16*f - 20 in the form w + c*f**2 + t*f**3 + g*f and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9643*o = -4795*o - 4774*o + 2590 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -3.329\nAnswer: -0.6658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + 4898\/8. Suppose -3*p + 3*k - 927 = 0, 5*k = -p + k - 329. Let n = p + g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*p - 34 + 127 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*j + 3*j + 40*j)*(1 - 2 + 3) - 333*j + 412 + 412 - 824 to the form z*j + u and give z.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 27 = 113. Let b = w + 31. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g = 4*b + 17, 4*b + 14 = 2*g. Let l be 2502\/(-27) - b*2\/6. Let t = 176 + l. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -237489495 in increasing order.\nAnswer: -237489495, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 3044*v**2 - 18012*v - 81540 = 0.\nAnswer: -3, 9, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717402873?\nAnswer: 3, 11, 17, 727, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 521, 120, -1057, -3262, -6747?\nAnswer: -11764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 4 - (2 + 0 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprzc. What is prob of sequence pz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 + 86361*y**2 - 9101298*y - 9187656 = 0?\nAnswer: -28892, -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7))**(10\/9)\/(y**(-12)\/(y**12*y)))**(2\/109) assuming y is positive.\nAnswer: y**(3250\/6867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2736) + -2).\nAnswer: -24*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (231\/(-45) - (-2)\/15). Suppose 4*v + 4*w = -28, v + g*w = 10*w - 11. What is the closest to 0.2 in -0.4, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327665372 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -78*v + 92. Let i(o) = -26*o + 31. Let l(b) = 11*i(b) - 4*n(b). Find the first derivative of l(s) wrt s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-12)\/(-24)*15\/54*3.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*b = -38 + 14, 42 = -4*c - 2*c + 3*b for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59602, 238457, 536548, 953875, 1490438, 2146237?\n\"Answer: 59618*y**2 + y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23283887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3\/2 (b) -2 (c) -6 (d) 0.4 (e) 0.0579\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 39 = -5*x, -4*s - 4 = -20. Suppose -x*q + q = 0. Put -1, 5, q in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, w: 4, c: 4}. What is prob of picking 2 w and 2 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -432066654.\nAnswer: -172826661.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/264 + 92\/22. Solve 0 = 3*z + 2*z - v*a - 5, -z - 3*a = 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 282*d - 14808. Calculate the least common multiple of 240 and y(53).\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*1*2 - sqrt(270)\/sqrt(10)) + 4 - (sqrt(240)\/sqrt(5) + (sqrt(3) + 1)*-1))**2*1 + 4.\nAnswer: -40*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.477 + -28.277. Let w = 43.8 - n. What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -5) + 1*2. Let m = 1318 + -1411. Sort m, 2, k.\nAnswer: m, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**2 + 2*z - 4. Let q be d(2). Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 5202*t**3*z - 12*t*z + 3*z + 27 wrt t?\nAnswer: 24*t**2 + 31212*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798168 by -1.\nAnswer: -798168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 481 + -470. What is the lowest common multiple of a and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 79*r = -80*r - 29, -44*v + 5*r = -69 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhhhrhrhhhhhhrrh. What is prob of picking 3 h?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**6\/30 + s**5\/5 - s**4\/2 + 2*s**3\/3 - s**2\/2 + 10*s. Factor j(h).\nAnswer: -(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/341127 and 29\/45?\nAnswer: 1705635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 3*l - 204 = 0. Suppose -2*r - 14 = -3*h, 0 = 5*h - 4*r + 8 - l. Suppose 421 = h*a - 53. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4) - 2) + 25\/(-70).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.670401 less than 0.3?\nAnswer: 12.970401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -13 - (3 + -1 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7875133?\nAnswer: 7, 173, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 + b**2 + b. Let q be z(-1). Let o(c) = 4*c + 6. Let l be o(q). Let w = -0.57 - -0.27. What is the biggest value in l, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a**3 - 3 - 27*a**3 + a**2 - 4*a**2 + 2 + 0*a**2 in the form n*a**2 + w*a**3 + p + d*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/13, -1548, 1\/2?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 - -19. Let s = g + 84.7. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -82.054012 and 16.745.\nAnswer: -65.309012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.633 + 10.7498. What is c rounded to 1 dp?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**2 - 4*g + 8. Let m(w) = -10*w**2 - 3*w + 7. Give -3*b(o) + 4*m(o).\nAnswer: -7*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 54027596*y - 108055208.\nAnswer: 4*(y - 2)*(y + 13506901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7.36. Let j = 0.04 - b. What is the closest to 0.1 in j, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.4 (c) 5 (d) -1122 (e) 8.1 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1845*u**3*x - 2*u**2*x**3 - 796*u*x + 13391144*x**3 wrt u?\nAnswer: 5535*u**2*x - 4*u*x**3 - 796*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111101100110001111110100?\nAnswer: 111101100110001111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41)\/11849*(-90)\/(-5). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*t + 22 + 13, 4*t + 8 = -4*l. Suppose -l*f + 2 + 10 = 0. Solve 0 = -f*z - 3*i + 1, -4*z + 9*z - 5*i = 45 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 bigger than -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.495 + 6.395. Let l = -4 - -4.4. Let w = 2.4 - l. What is the second biggest value in -4, -1, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - (5 + -7 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2894 - 2893.9. Let l = -213.8 + 214. What is the nearest to 0 in -14, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 50. Let s be 10\/(-25) - (-17)\/o. Suppose 3*c + 17 = -4*g + 304, -s*c = -5*g + 325. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + s**4 + 0*s**4 - 2*s**4 + s**3 - s**3 + (0*s + 2*s + 0*s)*(0*s + 0*s - s**3) - 6*s**4 + 3*s**4 + s**4.\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 4. Let f be g(9). What is the closest to 2\/7 in 0.5, 7, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157 + 154. Let l = 0.2 - -0.1. What is the nearest to 0.2 in g, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001459803 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 128*o + 28. Let h(t) = -6*t + 3. Give 40*h(r) - 4*v(r).\nAnswer: -752*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12*-3)\/(11*(-11)\/3146)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401331 divided by -29?\nAnswer: -13839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25179901*p**3 - 50362070*p**3 + 25182168*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121339.\nAnswer: 71, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w - 7*w**2 + 1\/6*w**3 - 5\/8*w**4 + 0. What are the prime factors of t(-3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3261\/20440 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, -2.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66274 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + (48\/6 - 4). Solve -g*a - 7 = 4*h - 3, -3*h + 5 = 5*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -110.4?\nAnswer: -9.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -45 + 6. Are -13 and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:50 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 - (-334 + 292).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d + 30*d**3 - 27*d - 28*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 7*a**2 - 6*a + 6. Let g(x) = 3*x**3 + 6*x**2 + 5*x - 5. Give -5*f(k) - 6*g(k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 94 = -m, -47*m - 5*v = -46*m - 100. Calculate the remainder when m is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23893 (base 12) to base 4\nAnswer: 23230233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -570 + 565. Let l(w) = -191*w + 12. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 6*n + 2*n + n - 5*n - 391*n**2 to a + i*n + k*n**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100154381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -210212?\nAnswer: 210232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493 and 21395707.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34883882057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 26. Let y be m(7). Solve 4*k - 5 = 2*w - 7*w, 50 = -5*k + y*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 3*r**2 - 3*r**2 + 5*r**4 - 2*r + 2*r + (-5*r**2 - r**3 + 5*r**2)*(-4 + 2*r + 4).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5*s - 2*s + (2*s + s - 2*s)*(3 - 6 - 5))*(-6 + 4 - 1).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 2}. Give prob of sequence zmzm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 + -2. Let i = v - 2.19956. What is i rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -16. Let l(x) = x**3 + 6*x**2 - x + 4. What is the units digit of l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5 + 1364\/132?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163.4 - -166.4. Let n be (-2 - 3\/6)*(-14 + 16). What is the third biggest value in n, 0.17, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 224*a - 2610. Determine f(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -818, -819, -820, -821, -822?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 36244.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4\/4 + c**3 - c**2 - 1. Let y be a(2). Suppose y = -s - 3, 0 = -t - 3*s + 4*s + 58. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 19 - 5. Let p = j - -2. Solve -2*h = p, h + h = 2*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**4 - 158*p**3 + 79*p**2 - 89*p + 54537719.\nAnswer: 8*p**3 - 474*p**2 + 158*p - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 127057653\nAnswer: 254115306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 7*p**4\/12 + p**3\/3 - 325*p**2. Let d(h) = 7*h**2. Determine r(d(k)).\nAnswer: 98*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 9)*194\/1. Suppose -y - w = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894 a factor of 606787484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5941002 and 65\/9351?\nAnswer: 17823006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 17*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1281235 - -1281236.532966. Let a = w + -150.542866. Let p = a - -149. What is p rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6.7. Let i = 66 - 100. Let r = i - -34.4. What is the second smallest value in b, -3, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 15) to base 5.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -2*u + 0 - 1\/12*u**4 + 7*u**2 + 0*u**3. Let t(y) be the first derivative of n(y). Let c(f) = -13*f**2. Give c(t(q)).\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + m**3 + m)*(-17 + 25 - 20) + 61*m**3 + 8*m**3 + 4*m**3.\nAnswer: 61*m**3 - 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {j: 1, n: 5, d: 1, s: 1, z: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-98966)\/35)\/((-8)\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100001100111 - -100?\nAnswer: 101011100001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 50*y**3 + 12*y**2 - 10*y. Let r be h(-4). Let a = r + 4237. Calculate the highest common factor of 27 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125218667 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156838.23 + -156011. Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/39 - 841\/546. Find the common denominator of u and 3*(-8)\/30*106\/(-288).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1101.3?\nAnswer: -1103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45613325.\nAnswer: 5, 43, 151, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 10*j**2 - 8*j - 16. Let o be w(11). Let s(h) = h - 9. Let r be s(o). Solve 0 = 4*p - r, -3*m + 5*p + 1 = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68819120 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 7*m - 6*m + 4*m in the form f + c*m and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.8 - -4.6. Let g = m + 1.2. Let d be 9\/(-108) - 1\/(-3). Which is the nearest to d? (a) 0 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3018a6603 + -5?\nAnswer: -3018a6608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4154*d**2 + 8*d = 0?\nAnswer: -4\/2077, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 458*r**2 + 14181*r + 24897338 wrt r.\nAnswer: 916*r + 14181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -8, 9*j + 158 = 85*p - 89*p + 12*j for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let n = 0.42 - 0.02. Which is the second biggest value? (a) n (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 9) to base 14\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l + 2. Let f(q) = -6*q + 400. Let v be f(67). Let h(m) = -10*m - 1. What is v*u(d) - 3*h(d)?\nAnswer: 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 14. Suppose q + 3 = 7. Suppose r + q + 3 = 0. Let m be t(r). Sort -7, 2, m in decreasing order.\nAnswer: 2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1006 and 1002 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(38)\/sqrt(2)*6)**2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Let x be (15*-2)\/(7\/((-119)\/2)). Let j be (-5 - 0) + 1245\/x. Put w, 1, j in increasing order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154515 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 2 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 6, -4*c + 9 = 3*k - 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 354, -5, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.01, 108\/13, 0.18, -0.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63835744 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 3, -24820, 110 in decreasing order.\nAnswer: 110, 7, 3, -5, -24820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.623197865 minus 0.5?\nAnswer: -114.123197865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(1*sqrt(50)) - -4*((sqrt(48))**2 + 4).\nAnswer: sqrt(3)\/5 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 235410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 397\/3 (b) -0.4 (c) 1\/1161 (d) 104 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147653 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 29. Let m = 11.99 - y. Suppose -d = -18 + 20. What is the biggest value in d, 4\/3, m?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -636 - -4?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.36 + 23. Let k = 5.1 + -5. Let y = f + k. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 164*h**2. Let x(y) = y**2. What is j(x(f))?\nAnswer: 164*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 + -76884.\nAnswer: -77283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 4 - 2*w**2 + 3 - w**2 + w**2 - w**2 + (5*w - 3*w - w)*(2*w + 2*w - 2*w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 78.7. Let i = w + -1.7. Let r = 73 - 363\/5. Which is the third smallest value? (a) -3 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 + -57 - (2 + -5 - -12)) + -122.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-s + 4*s - 4*s)*(4 - 1 - 1) + 5 - 5 + 2*s - s + 2 - 2 + (-4*s + 0*s + 2*s)*(-2 + 4 + 0) - s - 2*s + 5*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 = 227*c + 1163 - 298 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 + 3*p**2 - 6*p**2 + 6*p**2 - 5*p**2 - 2*p**2 + 0*p + 0*p - p**2 + (0 + p + 0)*(2*p - 4*p + 0*p) - p**2 - p**2 - 2*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, j: 3, w: 5}. Give prob of picking 1 j, 1 b, and 2 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 210737 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1259 (base 13) to base 12.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 17 = 2*b, -b + 0*a = -4*a + 16. Let o = -1 - b. Suppose o*s + 24 = 5*s. Solve -4*d = -0*d - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2120220.\nAnswer: 1\/706740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 3\/5, 50, 464\/45?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*w - 57, 21*r - 24*r = -2*w - 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(9\/(-1)))\/(3\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 6. Let y be x(-6). Suppose -2*n = -5*n - 54. Let i = n - -13. Sort i, 5, y in decreasing order.\nAnswer: 5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/20 + w**4\/6 - w**3\/2 + w**2\/2 + 24*w. Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.037214 * -6\nAnswer: -0.223284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 92*t**2 + 8*t**3 + 74*t**2 + 18*t**2 in the form k + a*t + b*t**3 + r*t**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348668027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28379.6 * 0.15.\nAnswer: -4256.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10707*h + 6012*h - 1407*h as l + r*h and give r.\nAnswer: 15312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144008124?\nAnswer: 2, 3, 13, 923129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*s. Suppose -4*l + 10 = -s. Suppose l + 8 = q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 - 2*c**4 + 3*c**4 + (-4 + 9 - 7 + c)*(-49*c + 49*c + 19*c**3) - 5*c**4 + c**4 + 2*c**4.\nAnswer: 15*c**4 - 38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -6 - (-4 - -24 - (40 + -30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-16)*-2*(-1 - -69). Round w to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 + 219*s**2 - 65*s + 464. What is d(-55)?\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**2 - 11*g - 19. Suppose -5*b = 5*c + 45, -5*b - 4*c + 15 - 56 = 0. Let l be d(b). Calculate the greatest common divisor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2532 - 1339. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 80789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9808, -18324, -26830, -35320, -43788?\n\"Answer: c**3 - c**2 - 8520*c - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/58 or 10\/53?\nAnswer: 10\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c + 46*c - 15*c - 17*c. Let x(g) = 289*g + 2. Give l(x(b)).\nAnswer: 578*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*w + 30 = 0, 4*p - 4 = 3*w - 5. Let u be 435\/90 + (-10)\/12 + 1. Let t(l) = 7*l**2 - 2. Let g(v) = 6*v**2 + 0*v + 0*v - 2. Give p*t(i) + u*g(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 98127145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3010716 nanograms to tonnes.\nAnswer: 0.0000000000000003010716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 140435668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2.8, -1 in ascending order.\nAnswer: -3, -2.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 235692 and 0.0096664893.\nAnswer: 235692.0096664893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-28)*o\/(o*(o*o*o**8*o*o)\/o) assuming o is positive.\nAnswer: o**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01842 and -0.46.\nAnswer: 0.0084732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396254706 to the power of 1\/2, to the nearest integer?\nAnswer: 37366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.5442 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**6))\/i*i)\/i)**25 assuming i is positive.\nAnswer: i**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:47 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 24*k**2 + 7*k**2)*(-1263*k**2 + 81 + 67 - 148) to the form x + w*k**2 + p*k**3 + o*k**4 + c*k and give o.\nAnswer: -37890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -303\/8. Suppose 6*j + 30 - 6 = 0. What is the biggest value in j, 2\/9, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - 29 - 4) + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.9. Let v be (-2 + 3 + -1)\/(-1 + 2). Let t = -1\/15 - 3\/5. Which is the closest to h? (a) 0.1 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/(m\/m**3)*((m\/m**(-4\/5))\/m)\/(m**(9\/2)*m))\/((m**(1\/4)*m)**(1\/51)*(m*m*m*m*m**(-2\/3))**(19\/4)) assuming m is positive.\nAnswer: m**(-9337\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 2068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/252 and (460\/1344)\/((-5)\/(-10))?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37501, 38703, 40709, 43519?\nAnswer: 47133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.248 - -17.248. What is the biggest value in 0, -6, 1, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40631 and -0.011?\nAnswer: 446.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109572\/10043 - 12\/10043. Factor -1800\/11 - p*o - 2\/11*o**2.\nAnswer: -2*(o + 30)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18785\/6 - -3116. Let q = 292 - 170. What is the common denominator of q\/12*((-21)\/3 - -4) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/6 - 5\/6. Let l = 4 - r. Suppose l*v + 5*h - 60 = 0, -3*v + h = -28 + 12. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from zmuawiwui?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 669542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10042 + 8491*x + 10042)*(-2*x + 6*x - 3*x) in the form b + p*x + g*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33100 * 1.\nAnswer: -33100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-12)\/(-112)*7\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 10951596?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -354 + 114. Calculate the highest common factor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209403 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -9*u. What is the units digit of 3 - (0 + u) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - 14*q + 2. Let j be y(9). Suppose -38*o = -22*o - j. Solve -o = -2*u - 59 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-161) - (-10 + 1791\/(-69)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 351 = -369. Solve s*j = 2*y + 1, -j - 4*y - 35 = -12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 = 23. Let z = 7 - -3. What is the smallest common multiple of z and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/291800493?\nAnswer: 2\/291800493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - 5*sqrt(20) - (sqrt(5) - (3 + 1 + sqrt(5)))**2.\nAnswer: -9*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 + 0*x**2 + (x - 2*x - x)*(5*x + 0 + 0))*(0 + 1 + 2)*(3 - 2 + 3).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/24342 and -3\/14779651?\nAnswer: 88677906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 2672\/212419?\nAnswer: 2672\/212419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 21. Suppose -2*h - y = -4*h. What is the greatest common factor of h and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2487*c**5 - 2*c**2 + 461*c wrt c.\nAnswer: -149220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (4 + -7)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2087*o + 2716. Is 45 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5062 = h + 2*l - 5038, 8 = -l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6016*l**6 - 24558*l**3 - 1082267*l**2 + 52?\nAnswer: 721920*l**3 - 147348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 29 = 4*j, -n + 33 = 3*j + 2*n. Suppose 0 = 7*u - j*u + 1383. Is (-2)\/8 + u\/12 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let g be -1*-4*1 + 1. Suppose 0*w + 20 = g*w. Solve -2*q = w*d - 20, 3*q + 2*q - 10 = -z*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -4.7. Let c = a + -4. Let f be 18\/8 - ((-34624)\/1792 + 21). What is the second biggest value in c, 3, 0, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j + 1. Let u(o) = -13*o - 1. Let b(t) = 5*u(t) + 6*z(t). Calculate b(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0*s + s + s. Let z(k) = k**2. Determine z(g(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 40 + -12 + (2 - 1)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38390 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/42 - 29*b**3\/21 + 198*b**2\/7 + b - 498. Let j(w) = 0. What is w?\nAnswer: 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + u**2 + 3*u**2)*(-11 - 212*u + 11) + (2*u**2 - 2*u**2 - u**2)*(-1 + 2*u + 1) to the form d*u + x + m*u**3 + a*u**2 and give m.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 4, -14, -27, 17598 in ascending order.\nAnswer: -27, -14, 0, 3, 4, 17598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*h**4 - 1140*h**3 - 4022*h**2 - 3552*h - 936 = 0. What is h?\nAnswer: -2, -3\/5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 47*q**4\/12 - 5*q**3\/6 + 2*q**2 + 9*q. List the prime factors of c(2).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 1 + 1 + sqrt(833))**2 + sqrt(833) + sqrt(833).\nAnswer: 70*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 66*j - 108. Determine i(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.65774 meters to micrometers.\nAnswer: 96657740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*u + 7 + 1, -8 = -2*j + 2*u. Let a(d) = d + 4 - j. Let y(k) = -5065 + 5065 - 2*k. Give a(y(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 4 - -2 - (-5 - -4 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-27) + 40\/6. Find the second derivative of -4*w**2 - 3*w**2 + 4*w + 7*w**2 + o*w**3 wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374431, -374437, -374457, -374497, -374563, -374661, -374797?\nAnswer: -374977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 393 (b) -2 (c) -0.06 (d) -2\/5 (e) -4\/3 (f) -20 (g) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 + 6*d - 4. Let s(h) = h**2 - h. Let k(r) = -p(r) - 3*s(r). Let q be k(3). Find the first derivative of -13*l - 27 - 34*l + q - 31 wrt l.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -542.2 + 418.22. What is l rounded to the nearest integer?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.7955432 weeks?\nAnswer: 5.5688024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1428 - -2?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 542 - -131?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 6*n + 2*n + 7)*(2*n + 0*n + n).\nAnswer: 9*n**2 + 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2083474, -2, -73 in ascending order.\nAnswer: -2083474, -73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 g when three letters picked without replacement from {e: 4, g: 2, v: 3, k: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49589270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-31)\/4)\/((-4)\/16). Suppose 1 = 15*s + k. Sort 1, s, -3 in ascending order.\nAnswer: -3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3\/3 + 5*l**2\/2 - 11*l - 2. Let f be z(7). Let p = f + 69. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1643013 or 1643014?\nAnswer: 1643013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Let p = -7 + 11. Suppose p*t - 10 = -j - t, 15 = 2*j + 5*t. Calculate the remainder when j is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.066 + 0.034. What is the nearest to 11 in b, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2372078, -5, 0.2 in descending order.\nAnswer: 0.2, -0.5, -5, -2372078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/6 - 3*q**2 - q - 119. Give z(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8672 - -8771. Which is smaller: z or 2304\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0284263 rounded to four dps?\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14 = -5*h + 9*h, 4*h + 3*n = 2. Solve -h*d + 3 = d + 3*w, 3*d + 2*w = 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177731353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716962 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 2593?\nAnswer: 259a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - l + 3. Let f(z) = 5*z**3 + 2*z - 5. Let i be 2*(1 - -5) - 2. Let c be i\/((-4)\/(-2)) - 1. Calculate c*f(b) + 7*x(b).\nAnswer: -b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 5, d: 4}. What is prob of picking 1 d, 1 z, and 1 m?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 17*b**2 - 18 + b**3 + 4 + 7 - 6. What are the prime factors of a(19)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 809305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 + -207. Let x(g) = 0 - t + 7 + 2 - g. Suppose 0*a = -a. Calculate x(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/3)\/((-7)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = 2*z, -4 = 4*o + 2*z - 6. Let b(f) = -f + 7. Let x be b(5). Find the second derivative of -15*c**x + 15*c**o + 9*c**3 - 15*c wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*v + 208 = -355*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-l**4 + 17*l**2 + 23327 - 23326 + 48*l**2).\nAnswer: -2*l**4 + 130*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - 0.26. Let d = -1280 + 1283.6. Sort d, n, 1\/6 in ascending order.\nAnswer: 1\/6, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + h + 3)*(-6*h**4 + 2*h**4 + 2*h**4) + 2*h**5 - 2057 - 3*h**4 + 2*h**5 + 2039.\nAnswer: 2*h**5 - 3*h**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - (-1 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/7117 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*a = -22, 4*t + 3*a - 2 = 18. Suppose 3*q - 16 = t*o, -5*o - 4 = -3*o. Suppose -5*p + 5 = -q*p. Calculate the lowest common multiple of 2 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.8. Suppose -2*b - 3 = p, -1 = 2*p - b - 5. What is the nearest to m in p, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -804*c - 25. Let b be s(-2). Let l = b + -543. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 214\/13*d**2 + 4*d**3 - 336\/13 + 68\/13*d + 2\/13*d**4 = 0.\nAnswer: -21, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -64.246455144 and 5.\nAnswer: -59.246455144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 272*y**3 - 4608*y**2 - 1088*y + 18496.\nAnswer: -4*(y - 34)**2*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 26 = -2*k, 3*k - 10*q = -6*q + 4. Let o(z) be the third derivative of z**5\/60 - 3*z**4\/8 + z**3\/6 - 5*z**2. Determine o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22 and 50\/6949.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 4422.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-37 - -8 - -3 - -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 11*t - 5. Let c be q(9). Suppose -5*p + 148 = -4*u, -2*p + c = 4*u - 35. Calculate the remainder when (-1)\/(3 - 4)*p is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13102312202 (base 4) to base 13.\nAnswer: -51c4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r + 6 = 0. Let k = r + 2. Let b = 1.6 + -2. What is the nearest to 0.1 in k, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 197*u**2 - 72*u + 632. What are the prime factors of l(9)?\nAnswer: 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -1.4. Which is the second smallest value? (a) o (b) -1\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 1125, 1622, 2119, 2616?\nAnswer: 3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 709\/973 + -2\/139. Let c be (-4)\/10*510\/408*(-4)\/1. Find s such that 6\/7*s + l*s**c + 1\/7 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (9 - 143\/(-13)) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*j - 246*j - 82*j - 4*j in the form l + g*j and give g.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17380*s + 660711. Calculate h(38).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.023 - 0.067. Let t = 81 + -241\/3. Put 0.2, q, t in descending order.\nAnswer: t, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1158)\/(-18) - (0 + -1). Let o = 302 + r. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 5*g + 380, -5*g = 2*c + 180. Let b be 4*(-4)\/c - (-3)\/(-5). What is the closest to b in -5\/2, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582812.704 rounded to the nearest one hundred?\nAnswer: -582800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 5*m - 5*m + 57 = 3*p, -2*m + 3*p = -21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -613bb + 2?\nAnswer: -613b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -110*l + 9772. Calculate t(88).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -71, -163, -291, -455, -655, -891?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 12, 0 = -5*c + 5*v - 2 + 62. Suppose 5*r = u + c, -2*u = r - 4*u - 3. Suppose -h = r*h. Solve d - 2*m + 7 = 0, d + 3*d - 3*m + 8 = h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let i = 0 + p. Let j be ((2 - 2) + -1)*i. Solve j*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -810, 2\/7, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, 2\/7, -810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*j + 19 + 13*j + 13*j + 96*j.\nAnswer: 2*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 1. Let m be f(-2). Let x = m - 7. Solve x = -0*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*g - 85. Suppose 6*y - y - 122 = -g*w, -5*y = -5*w + 130. What is the greatest common factor of w and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-5)*v**(-6)\/v**1)**(-41) assuming v is positive.\nAnswer: v**(656\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 197040*q\/7.\nAnswer: -2*q*(q + 98520)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h + 2 - 23*h - 7*h**2 + 49*h in the form a*h + z + v*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 - 0.28. Which is the closest to k? (a) 1 (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0*u - u + 42*u**2 - 5*u**2. Let s be n(1). Suppose 0 = -654*t + 655*t + 2*c - 35, -7*t = -5*c + 2. Calculate the highest common factor of t and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2883, -2884, -2885?\nAnswer: -2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k**2 - 3\/4*k + 0.\nAnswer: 3*k*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411938 = 5080*w - 19342*w for w.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 9*z + 6. Let p be q(10). Suppose -4*a + p = 0, -3*c - c - 832 = 2*a. Let u = -117 - c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - ((22 - (-17 + 30)) + 8) - -36?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3234 - -3220. Sort -5, -3, m, 7 in ascending order.\nAnswer: m, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -798561, 2\/25, 2\/19, -0.1, -3 in ascending order.\nAnswer: -798561, -3, -0.1, 2\/25, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:11 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11322?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 153\/(-102)*(-1)\/(-3)*-32. Solve 7*t - 11*t - x = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*444\/5439.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1576486 divided by 2339.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21168 and 10080.\nAnswer: 211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002576346 rounded to 7 dps?\nAnswer: -0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.510067 micrometers in millimeters?\nAnswer: 0.000510067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1630385 and 15.\nAnswer: 4891155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/l**(1\/9)*l*l)))**25)**(4\/9)*(l\/l**(2\/3))**(-44)*(l**6*l)\/l*l**(-2)\/l assuming l is positive.\nAnswer: l**(755\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 53*v**3 + 2*v**2 - 22*v + 4. Let p(a) = -52*a**3 - 2*a**2 + 20*a - 3. Let x(d) = 4*p(d) + 3*z(d). What is the third derivative of x(i) wrt i?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**5\/25 + 3*b**4\/10 + 2*b**3\/15 - 3*b**2\/5 + 2336. Factor l(v).\nAnswer: -2*v*(v - 3)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - 6*f + 38. What is s(6)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1401081, -4\/3, 1 in increasing order.\nAnswer: -4\/3, 1, 1401081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.099 from -8906016.\nAnswer: -8906015.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(15 - 15 - 3*l - l + 0*l - l + (1 - 1 - l)*(-3 + 7 - 2) + l + 3*l - 5*l) as f + a*l and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 297*b - 289*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2888086531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/7)*w*w\/w**(-12\/5))\/(w**11\/(w**13\/w)) assuming w is positive.\nAnswer: w**(239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -160?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736 and 2484?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2640 and 825?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -41\/12*n**4 + 3 + 1\/60*n**5 + 65*n**2 + 0*n + 1681\/6*n**3. Let s(o) = 0. What is o?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 - 7 = 0. Solve -3*r + 8 = 4*f, x*f = -0*r - r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118585119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*l + 3*l - 2*x - 39, 3*l + 6*x = 3*x - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let b(f) = -3*f + 3. Let o = -107 + 104. Let d be o\/(-6)*2*-4. Let n(i) = d*b(i) + 11*z(i). What is n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1036336.1 and -0.35.\nAnswer: 362717.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 4, o: 3, p: 4}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 - 5*g + 6. Let z be h(4). Let u be (-1)\/(z + (-26)\/12). Let i = u - 4. Solve -4*r + 10 = -i*r - t, -3*t = -5*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in 4, 1, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162039731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11893, -11884, -11891, -11932, -12025, -12188, -12439?\n\"Answer: -3*k**3 + 10*k**2 - 11900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(616\/160))\/1)\/((-108)\/66)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/(4\/(-9)). Find the second derivative of 24*b**3 - l*b - 11*b + b - 16*b wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - i - 6 = 0, 0 = -4*r + 593*i - 588*i - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 + 6*h + 2. Let u be k(-5). Let j = -3 - -2.93. Let d = -0.03 + j. Which is the nearest to d? (a) -2\/3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 42*f + 382. Let o be s(-9). Solve q - 4 = -4*p, 3*p - o*p + q - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 66*l - 493. Let x be k(43). Calculate the greatest common factor of 3844 and x.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144697494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -32 + 12. Let n(d) = 6*d**2 + 2*d - d**3 + 3*d**3 + 18 - 3*d**3 - 21. Does 16 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5995*r - 2*r**3 + 33*r**2 - 33*r**2 + 3*r**3.\nAnswer: r**3 + 5995*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f**2. Let c(u) = 359*u**2 + 5146 + 79*u**2 - 24*u**2 - 5146. Calculate o(c(s)).\nAnswer: 3256524*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404798872?\nAnswer: 2, 50599859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3461 is divided by 1711?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.08 (c) -1\/3 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 8}. Give prob of picking 3 u.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.36 and -5.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*v - 36 + 524. Let u = -7 + 12. Solve u*z - 19 = -v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -980 + 1917\/2. Let r = o - -85\/4. What is the closest to 8 in -2, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 20*i = 16*i - 35 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 0.5, -282, 0.4, -362\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {s: 1, t: 1, l: 2, g: 3, b: 3, i: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20163?\nAnswer: 3, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.065 + -0.0649838. Round b to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*h - 174 = 0, 94*h + 162 = 5*m + 90*h. Solve 0 = -m*d + 343 - 105 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4883947 to the power of 1\/2, to the nearest integer?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-10 - -10 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 55*n**2 + 152*n + 62. Give l(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-10) - ((-12342)\/170 - -42)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.38737ng in tonnes?\nAnswer: 0.00000000000000638737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x**2 - 1 + 3 - x**2 - 1377*x**3 + 1321*x**3 to the form p*x + b*x**3 + h*x**2 + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 1, 1\/4, -1\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, -4, -8052 in increasing order.\nAnswer: -8052, -356, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4 - (-25)\/(-6)). Let w be 3\/v*2*-5. Let c be 1\/w*20\/(-12). What is the closest to -1 in 3, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 5, -10, -28, 7, 0.4 in decreasing order.\nAnswer: 7, 5, 0.4, -0.14, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = -88. Suppose 5*n - 21 + 49 = 2*y, y + 5*n = i. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -1902, -2794, -3684, -4572, -5458, -6342?\nAnswer: -7224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from rrrqrrnrnsbss?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 785110110*n**3 - 435486788*n**2 wrt n.\nAnswer: 4710660660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let t be j(-1). Let x(b) = -b**3 - 3*b**2 + 3*b + 3. Let l be x(-2). Does 2 divide 0\/t + -2 - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 101 = -133. What is the remainder when q is divided by (17 - 2816\/(-132))*(-6)\/(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**3 - 2*a**2 - 1. Let g be v(2). Solve 13*w - 2*w + g = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583.22 - -588. Round x to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -7325 - (-9)\/((-63)\/(-7)). Let b(r) = -5 - 7330*r**2 - 118*r + 5 + a*r**2. Let y(w) = -3*w. Give y(b(h)).\nAnswer: 6*h**2 + 354*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*-1 - (sqrt(136)\/sqrt(4))\/sqrt(2).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*0.02.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 5. Let h be j(-5). Suppose -2*p - 10 - 3 = -z, z + 7 = -2*p. Solve h = z*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176394 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5698\/143 - (-4)\/26. Suppose -14*j + 12*j = -h. Suppose 7*b = 3*b + j, 2*p - 5*b - 301 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4685*l**3 - 33433*l**2.\nAnswer: 28110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -79?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 19. Let j(r) be the second derivative of 0*r**3 + 0*r**2 - 2*r - 144 - 1\/6*r**4. What is l(j(a))?\nAnswer: 16*a**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 2.35.\nAnswer: 3.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/34 (b) -0.0576 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248678321 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:12 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0585 - -605.9415. Let m = q + -533.2. Let l = m - 66. Round l to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7433 and 744626.\nAnswer: 744625.2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 27*q - 50. Determine v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 - x + 3. Let u be l(3). Suppose n + u + 3 = 0. Let h = 1 - n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 521\/4. Let x = -1676 - -8378\/5. Sort x, -0.5, t in increasing order.\nAnswer: t, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 2\/3*i**3 + 1\/10*i**5 + 0*i + 1\/24*i**4 - i**2 + 1\/120*i**6 + 0. Calculate t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2 - 31. Let n = -18 + f. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376*d*m**5 + 19*d*m**2 - 7*m wrt m.\nAnswer: -22560*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 192160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5637*i**3 - 39459*i + 157836. Let y(h) = h - 4. Give 3*c(z) + 118377*y(z).\nAnswer: -16911*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40776 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d + 26*d + 1918 = -33*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*f - 70 = 0, -3*i + 165 = -2*f + 41. Solve 47 = -7*y + i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*c = 28, 340*c - 338*c + 18 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, -7, -31, -65, -109, -163, -227?\n\"Answer: -5*t**2 + t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13231851361 + 0.4?\nAnswer: 13231851361.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 a factor of 61631669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 196.4. Which is the second biggest value? (a) n (b) 6\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(-42*j**4 + 175 - 175)*(-4 + 2 + 12) - j**4 + 2*j**4 + 0*j**4 to q*j**2 + n*j**4 + v + u*j**3 + z*j and give n.\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 77, -13?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 119996 = -x, x + 95996 = -0*s - 4*s. What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0 + 5*sqrt(52))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 7*j + 44. What is the hundreds digit of k(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(187) + sqrt(187))\/(sqrt(1100) - (1*sqrt(1100) + sqrt(1100))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to -5542983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u - 1. Let v(n) = n**3 + 9*n + 3. Let o(b) = -v(b) - 5*y(b). Let d be o(4). Suppose -3*t + d*t = 0. Solve t = 3*c - 2 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20892 and 11\/14196.\nAnswer: 24715236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1408\/22 - 1*5. Suppose -5*o + 2*i = -306, 3*i = -5*o + i + 294. Suppose -o*s + 50 = -w*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 55*g**2 - 14*g + 56. Is z(18) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 4*c**2 + 56*c - 17. What is u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448333?\nAnswer: 47, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 7, -2, -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (155\/2)\/((-4)\/(-8)). Suppose u = b - 2*h - 112, -3*h = 5*b - 1335. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058707977 to the power of 1\/2, to the nearest integer?\nAnswer: 55306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 7*p**4\/6 - p**3 - 5*p**2\/2 + 2*p. Let g(u) = -3*u - 2*u + 5*u**2 - 2 + 3*u + 0*u. Determine 8*g(a) - 3*q(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185347888 by 8.\nAnswer: -23168486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15568 + 32 = 600*v - 4200 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33381 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340\/49 + 11657\/882. Find the common denominator of -8\/11 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1941958*b**3*l**5 - 434066*b**3*l**2 + 2*b**3*l - 58*b*l**2 - 15*l**5 - 2 wrt l?\nAnswer: 116517480*b**3*l**2 - 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(5)*-3 + (-2*(sqrt(125) - (-2 + sqrt(125)) - sqrt(125)))**2.\nAnswer: -68*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9426.627s?\nAnswer: 9426627000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29551, -59566, -89581?\n\"Answer: -30015*i + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10084477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3586848, -3586865, -3586882, -3586899?\n\"Answer: -17*h - 3586831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*-7*((-144)\/56)\/(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.8754996 + -88.8755. Let t = p + 14. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469363 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 147596936.9?\nAnswer: 147596936.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 84. Suppose -7*j = -18*j + 1540. Calculate the greatest common factor of i and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783708.\nAnswer: 2, 7, 67, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1692 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 1 + 1. Let c(q) = q**3 - 7*q**2 + 6*q. Let y be c(6). Let s(t) = y - t + 0 + 3*t. Calculate s(d(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-81)\/(-18))\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from qbbyooyobojbobobjb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -171*p**2. Let o(r) be the second derivative of -11*r**3\/6 + 109*r - 12. What is o(c(l))?\nAnswer: 1881*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssis when four letters picked without replacement from {q: 3, s: 3, d: 6, i: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.019 in increasing order.\nAnswer: 0.019, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 486, 484, 482, 480, 478, 476?\n\"Answer: -2*a + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 8*t**7\/315 + t**6\/10 + 2*t**5\/15 + t**4\/18 - 2*t**2. Factor c(q).\nAnswer: 4*q*(q + 1)**2*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 228 = -3*z, 2*z - 296 = -4*h - 2*z. Calculate the remainder when (-48)\/(-10)*h\/10 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + -19.2. Let g = v + 23. Which is the third biggest value? (a) g (b) 10 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 + -397. Solve 10 = -4*v + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/72 and -79\/135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5819 is divided by 215.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/8)\/p**(-1))\/(p*p*p**2*p*p**(-4))*p\/p**(-1\/3)*p**(1\/14)*p*((p*p*p**(-3)*p)\/p)\/p*p**5 assuming p is positive.\nAnswer: p**(845\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j - 25. Let x(z) = 2*z**2 + 4*z + 3. Let f be x(j). Suppose -f - 29 = -2*r. Calculate the greatest common factor of r and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 149?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 22 - 23 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1205571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 50 - 6 = 0. Suppose -9*l = -r*l + 15. Solve 0 = -l*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from rwrrcwbr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112*10 + 3)*2. Let a = -1577 - o. What is the greatest common factor of a and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) + (3 + -9)\/(-3). Which is the second biggest value? (a) 1 (b) -0.4 (c) -1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*m - 4*h, 2*m + 23 = 3*h + 34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 28 = -34. Suppose 3*w - 25 = -5*t, 3*w - l = 3*t + 3. Let r be (10\/(-8))\/(2*w\/40). Sort r, -3, -2, 3 in ascending order.\nAnswer: r, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107019481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, u: 3}. What is prob of sequence pup?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 k when four letters picked without replacement from {t: 4, b: 1, l: 1, k: 3, d: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.59253 + -0.40747. Let h = -0.1 - -0.3. Which is the fourth smallest value? (a) -4 (b) -0.4 (c) i (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 13.8?\nAnswer: -0.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 1. Let b be (g - -9)\/(-2 - 0). Which is greater: -7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*i**2*j**2 - 80*c**3*i**2*j + 7*c**3*i**2 - 2*c**2*i + 4*i**2 wrt j.\nAnswer: -6*c**3*i**2*j - 80*c**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 10*a + 164. Is a\/4 + (-6)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 13 - 31 = 0. Let q(a) = -1 - a - 4*a + a**2 + o + 4. Determine q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143425*s**3 + 26696*s**3 + 27914*s**3 - 112048*s**3.\nAnswer: -200863*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, w: 5, x: 1, y: 7}. What is prob of sequence wx?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33253200 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*z - 23, 3*z - z = -c + 9. Let s(q) = 750001*q**3 + 2*q**2 - 1. Let h be s(c). What is h rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 10*k + 5*k - 2*k - 2*k + 5*k + (k + k - 3*k)*(6 + 1 - 5) + k - k - k + (2*k + 3*k + 3*k)*(0 - 1 + 2).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*a**2 + 12 - 44*a + 320*a**3 + 309*a**2 + 78 - 483*a + 92*a.\nAnswer: 5*(a + 2)*(8*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 2*j**2 + 2*j + 7 - 3*j**2. Suppose 5*m + 169 = 64. Let w(s) = 1. Let n(v) = m*w(v) + 3*u(v). Solve n(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 5*p, 3*p = -58*d + 56*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1393840 and 8360.\nAnswer: 15332240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4056 and 16462121?\nAnswer: 395090904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 + 159. Find the common denominator of -43\/48 and 2 - (2\/(-32))\/(n\/2007).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -3) + (1 - -1). Let v(g) be the third derivative of g**4\/24 - g**3\/6 + 14*g**2 - 2*g. Let f be v(y). Put f, -7\/4, -2\/9 in descending order.\nAnswer: f, -2\/9, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + m - 11. What is t(4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -6*u + 2. Sort 5, 1, u in decreasing order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - -4. Let i = 16 - b. Let v = -8.9999988 - i. Round v to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 7*v + 6*v - 19, -2*v = 2*p + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.8. Let o = 0.0402 - -204.9598. Let m = 206 - o. Which is the closest to m? (a) 0 (b) q (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414737949.\nAnswer: 3, 3967, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3106993*g**3 - 789*g**2 - g - 108 wrt g.\nAnswer: -18641958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, c: 1, f: 1, q: 1}. Give prob of picking 1 t, 1 f, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)\/t)**(-1\/29)*(t**(-4))**(-5))**21 assuming t is positive.\nAnswer: t**(61047\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:06 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a + 5*u - 32, 3*a - 2*u - 11 = 0. Calculate the lowest common multiple of 45 and a.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.57 + 0.7032. Let y = m + 0.0568. What is the biggest value in 3, y, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 5 + (sqrt(612) - (0 + sqrt(612)) - sqrt(612)) + 2*sqrt(17) + 1 + sqrt(136)\/(sqrt(8) + sqrt(24)\/sqrt(3)))*-6*2)**2.\nAnswer: -6048*sqrt(17) + 35172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 n, and 1 i when four letters picked without replacement from itpttnp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 - 13*y - 2. Let t be x(-6). Suppose t*s - 730 = -6*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70235405 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 17*s - 63. Let j(b) = -b - 1. Let h be j(-1). Suppose 3*y - 3 = 3. Solve -2*q - 10 = -s*g, -g + y*q + h*q + 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 97, 338, 819, 1624, 2837, 4542?\nAnswer: 6823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 18*b - 13. Let z be r(17). Let n be (-8)\/6 + 3 - (z - 3). Factor 0 + n*k**2 + 0*k.\nAnswer: 2*k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 + 9*l + 4. Give x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -124. Let a be 26\/y - (-4)\/10. Solve -4*w = 7 + 1, a = f - 3*w - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-4 - (-5 + 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 11:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14276.\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 45 - 92 + 49 - 6*l**2 - l**2 to the form u*l**3 + t*l + i*l**2 + r + y*l**4 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -104*1965.2\nAnswer: -204380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 4*n + 5*w - 0*w, -29*w + 16*w = n + 5*w + 101 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - b - 2341 = -3*h, 2*b - 1168 = -2*h. Suppose 3*w - h = -3*q, 3*w = 3*q - 30 + 585. Does 38 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 1195080*d**3 + 71409615225*d**2 - 142824010810*d.\nAnswer: 5*d*(d - 2)*(d + 119509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22048.27 milligrams to tonnes.\nAnswer: 0.00002204827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 13*w**2 - 21*w + 8. Let a be f(-11). Calculate the least common multiple of 20 and (-252)\/27*(a - 6\/(-4)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:38 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540995.\nAnswer: 3, 5, 19, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450 - 7*y - 452 - 457 + 1817 - 458.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4388827?\nAnswer: 3\/4388827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(24\/4)*(-2)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -609233*v**2 + 503151 wrt v.\nAnswer: -1218466*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -12\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19810, -19533, -19078, -18445, -17634?\n\"Answer: 89*t**2 + 10*t - 19909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 39 = 0. Suppose -m = -4*q + 25. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose -u - 22 = -3*u - d*b, 0 = 5*u + b - 28. Suppose 3*l = 2*o + 1 + 7, -u*o + 10 = 0. Put l, 1\/15, 0.1 in increasing order.\nAnswer: 1\/15, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50541891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 8*a**2 - 5*a - 5. Let b be i(7). What is the highest common divisor of b and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 12024.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 26, 0, 3, 5, -306.\nAnswer: -306, -4, -3, 0, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2741 times 0.0948?\nAnswer: -259.8468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 267462442 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Suppose o*j = 3*j - 6. Suppose -p - p + j = 0, -4*s - 1199996 = 4*p. Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527 is divided by 142?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18168 - 397*m - 18168.\nAnswer: -397*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -117*x**2 + 11*x - 11. Let p(d) = -2 + 5*d - 3*d - 3550*d**2 + 3527*d**2. Let w(q) = 2*g(q) - 11*p(q). Let c(a) = -a. Calculate w(c(l)).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*t + 28, -t + 3 = -5*p + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 14 = -40. Let c be 15\/w + 1\/2. Solve -4*a - c = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 2*i - 3. Let s be g(0). Suppose 3*n - 2*y + 10 = 21, 5*n - s*y - 25 = 0. Put -3, 0, n in descending order.\nAnswer: n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.008383 + 22\nAnswer: 18.991617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4793 is divided by 491.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + 1 - 1 + (2*r**3 - 2*r**2 + 2*r**2)*(r - 3*r + 4*r) + 16*r**2 + 11*r**4 - 16*r**2.\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2190*b**3 + 52671*b**2\/4 - 39753*b\/2 + 999\/4 = 0.\nAnswer: 37\/2920, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 572.4 + -648. Let s = m + 76. What is the second smallest value in 4, s, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2015286 and 35.\nAnswer: 10076430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.115 in -1\/9, 4, 12?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6590454 and -0.2.\nAnswer: -1318090.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 81*z**2 - 869328*z + 2332503616 = 0.\nAnswer: 48296\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11547, 11553, 11559, 11565?\n\"Answer: 6*r + 11541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736663 is divided by 337.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 678 in -1\/30, -2\/5, -0.04?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 6 (c) 0.4 (d) 1\/6 (e) 1836\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - 0.03. Let y = 4.93 - f. Let r = 13\/5 - 81\/35. Sort y, r, -4 in descending order.\nAnswer: y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340890.\nAnswer: 2, 5, 234089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621891 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/33*((-45)\/6 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2. Let a be j(-1). Let n(u) = -39*u - 6. Let w be n(a). What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816512 and 3200?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1235 - -819. Let c = p - -433. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/656 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {b: 4, k: 2, h: 1, x: 5, a: 1, y: 7}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56026 is divided by 85?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.53 - -0.13. Let h = 0.1 - c. Put -1, -0.1, h in ascending order.\nAnswer: -1, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5030, -5039, -5062, -5105, -5174?\n\"Answer: -h**3 - h**2 + h - 5029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 32064, 29, 1 in increasing order.\nAnswer: -4, 1, 29, 32064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 + -243. What is the highest common factor of f and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5474304 rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1118)\/(-301) - 4 - (-8)\/(-70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1851 - 1604 - 375 - 340*p + 5*p**2 wrt p?\nAnswer: 10*p - 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -31*g - 2*d + 12, -2*g = 2*d - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056785.\nAnswer: 5, 19, 42703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -148, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -352, -704, -1056?\n\"Answer: -352*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k. Let t(v) = 52147*v. Calculate t(l(u)).\nAnswer: 156441*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 - 3*d + 2. Let i be m(-7). Let g = i - 5. Suppose n = -2*t + 3, -5*n + 10 = -3*t - g. Put t, 4, -4 in decreasing order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280*a**2 - 151*a**2 - 142*a**2)*(0*a**2 + 6*a**2 + 2*a**2 - 2*a**2).\nAnswer: -78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (94\/5)\/((-9)\/(-45)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1058 - -1060. Let l = -7\/59 - 121\/472. Which is the second smallest value? (a) 58 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g - 3. Let l be w(2). Suppose 0 = -3*r + l, -3*p - 2*p = -r - 77. Is 80\/p*74\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 2*q**2 - 2*q. Let d(o) = -2*o**3 - 3*o**2 + 3*o. Let b be (-25)\/(-2)*20\/25. Suppose 0 = -h + 6*h - b. Let w = h - 0. Give w*d(r) + 3*v(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -23, 2\/3, -0.6, -225, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. Suppose 0 = 5*l - q*l + 4. Find the third derivative of 81 - p**4 + l*p**2 - 81 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300) + 3) + 1)**2.\nAnswer: 880*sqrt(13) + 20921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 + 393*a**2*d*j + 177*a**2*j**2 - 17*a*d*j**2 - 2*a*d*j - 2*d*j**2 - 90*j**2 + 3 wrt a?\nAnswer: 6*a + 786*d*j + 354*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11175707 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4772 (b) -10\/9 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 + 2112*j - 371712 = 0.\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 9*x**2 - 35*x + 10. Determine r(-10).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4\/11, 4\/3, -0.059 in decreasing order.\nAnswer: 4\/3, -0.059, -4\/11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (926 + -11)*(-2)\/5. What is the units digit of (l\/4)\/((-9)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - n. Let r be l(-1). Suppose 0 = 2*v + 3*f - 8, -v + r*f + 26 = 2*f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1938 and -75\/14.\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, m: 3}. What is prob of sequence hhm?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 8*i - 2. Let u be q(-7). Factor 6\/5*w**4 - 2\/5*w**u - 4\/5*w**3 + 6\/5*w - 4\/5*w**2 - 2\/5.\nAnswer: -2*(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 35. Determine h(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176152 divided by -97.\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3238*y + 43081 = 625*y - 30083 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 (base 7) in base 13?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/11, 0.3, 1\/10?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39460, -39269, -38754, -37753, -36104, -33645, -30214, -25649?\n\"Answer: 27*t**3 + 2*t - 39489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/429939 or 0?\nAnswer: -8\/429939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by 4.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*s + 2. Suppose 5*q = 2 + s. Suppose q*u - 324 = 4*n + 7*u, 2*u - 146 = 2*n. Is n bigger than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/168 and 59\/12453?\nAnswer: 99624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2958 and 3045?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8*o - 12*o + 3 = 0, -2*t = -2*o + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from krbbbrbkkbkrk.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -77020 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4167*a**3 + 17*a**2 + 12*a - 12955251 wrt a?\nAnswer: 12501*a**2 + 34*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n + 89 = -87*n - 6*w + 3*w + 119, 50 = 4*n + 5*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93252505583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3566*s**3 - 4380*s**3 + 10772*s**3.\nAnswer: 2826*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3407629.\nAnswer: 107, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ccxxfcfxxxcf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21243 at least 21800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 + 10*y**3\/3 - 7*y**2 - 6*y - 188. Let q be z(-8). Calculate the highest common divisor of 54 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.9350464 rounded to 1 dp?\nAnswer: 413.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 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: What is the ten millions digit of 419737694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {t: 2, d: 4, j: 5, f: 1, i: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -30*f**2 + 1202*f + 1075. Give b(39).\nAnswer: 2323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 1627\/11. Which is the fourth biggest value? (a) -2 (b) 0.5 (c) -12 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/6720 - q**7\/630 - q**6\/120 - 19*q**4\/24 + 6*q**2. Let v(n) be the second derivative of d(n). Calculate v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -1.08. Let j = -1.2 - t. What is the closest to 0.2 in j, 0.4, 5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3409675 is divided by 3111?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/3)\/(6\/99) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166.75 - 1.25. Let v = 168.00000273 + l. What is v rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0122735035 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.17 and -0.31.\nAnswer: -0.3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816860.\nAnswer: 2, 5, 190843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7876)\/(-22))\/(34\/2227).\nAnswer: 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -2414402?\nAnswer: -2414314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**3 - 2*g**2 + 8*g + 15. Let b(f) = -5*f**3 + f**2 - 9*f - 12. Calculate 3*b(p) + 2*x(p).\nAnswer: -3*p**3 - p**2 - 11*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -5*z + 2*h, 0 = -3*z + 3*h + 12. Suppose 5*f - 2*l - 38 = -z*l, -f + 9 = l. Let c = -19 - -40. What is the remainder when c is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 7*i - 39*i - 32*i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 m, and 1 v when four letters picked without replacement from {q: 4, b: 3, r: 4, v: 1, m: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13210 and 23837445.\nAnswer: 47674890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -589, -583, -565, -529, -469?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 524169\/32 - 16379. What is the common denominator of y and 25\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 20641404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 4*r - 1. Let a be c(4). Let l = -1159 - -1162. What is the closest to a in l, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = b - 4*b. Let r(w) = 2*w + 2*w + w - b + w**2. What are the prime factors of r(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550141?\nAnswer: 223, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 6*a + 4*n + 20, -100*n + 116*n = -3*a - 60 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3989 + 4097 = 0. What is the smallest common multiple of 144 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*i + 3*i. Put i, 5, 1 in ascending order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -3\/14 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822485627.\nAnswer: 822485627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-52*858\/59488)\/(19*(30\/4)\/5)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*(166 + -161 + (-21)\/5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*p**3 + 0 + 6*p + 15\/2*p**2 = 0. Calculate p.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*(sqrt(190)*-2 + sqrt(190)) - sqrt(190))\/(sqrt(30)\/sqrt(3)*-3) - (4 + (sqrt(19) + 1*sqrt(2299))**2 + 3)).\nAnswer: -10972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = 0. Suppose c*x + 5*x - 290 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7226 + -7223. Let j(x) be the third derivative of 0 + 15*x**2 + 5\/12*x**4 + 0*x + 0*x**s + 1\/20*x**5. Find the second derivative of j(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/170009 and 61\/582888.\nAnswer: 4080216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - m - 2*m**4 + 4*m**4 + (0 + 0 - m**2)*(-5*m**2 + 3*m**2 + 0*m**2).\nAnswer: 4*m**4 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3118620 and 30.\nAnswer: 3118620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2.21. Let i = -27905 - -27907. Put -0.5, i, n in increasing order.\nAnswer: -0.5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 180*x**2 - 256*x - 147329. Determine c(-183).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-10)\/4 + 1). Let d = -15 - k. Let m(n) = -6*n - 6 - 3*n**3 + 15*n**2 - 6*n**2 - 4*n**2 + 4*n**3. Determine m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y + 2*y)*(-1 + 3 + 0)*(1 - 1 + y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/110)\/(13\/((-585)\/(-18)))*231?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-4 - 2*x + 4) - 5*x - 2*x - 3*x - 5*x + 2*x + 1 + x as q*x + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -584 times -5125.8\nAnswer: 2993467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g + 24 = 3*a, 5*g - 4*a - 30 = 0. Solve 0 = -2*u - 4*r + 6*r + g, 0 = -2*r - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187859*80.6.\nAnswer: 15141435.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.8 - -21. What is the closest to 2\/19 in 1, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 2. Let h be s(11). Let t = -47 - h. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1348 = -2*c, -1378 = -4*y + 4*c + 18. Is y a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/660 + 20\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -101*o - 96, 56*t - 57*t - 10 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3048 times 5?\nAnswer: -15240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 29.728. Let h = f + 0.4. Round h to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 139 + 27 = 0. What is the remainder when 27 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a3 (base 15) in base 8?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 145.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 2721464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -29*l**5\/60 - 161*l**2. Calculate m(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -40.2121\nAnswer: -120.6363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1038\/7 - 1070\/7. Which is smaller: 2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -7986475?\nAnswer: 3194590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 102?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0.001, 0.0274 in descending order.\nAnswer: 0.0274, 0.001, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63767.65 nanometers to micrometers.\nAnswer: 63.76765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h**2 + h - 2. Let q be a(1). Let n be 6\/2 - 14\/1. Which is greater: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -620*s + 75019. What is f(121)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:45 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2. Let n(d) = -109*d - 10. Let r(v) = 2888*v + 266. Let u(s) = 133*n(s) + 5*r(s). Calculate u(z(w)).\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 425*v + 6 + 14 - 430*v. Give q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-11 - -5 - (-3 + -1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 535322369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3712 and 2900.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50717698*s**3 - 162011557*s**2?\nAnswer: -304306188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -3, -0.69, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 2*y + 1\/4*y**4 - 3\/4*y**5 + 9\/4*y**3 + 3\/20*y**6 + 1\/28*y**7 - 15\/4*y**2 - 18. Solve j(g) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2329 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 81270\/79170 + 21\/(-203)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 - 30776*u**2 + 59595696*u - 1528753824 = 0 for u.\nAnswer: 26, 3834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -24*m**3 - 33*m + 33. Let s(o) = -o + 1. Determine -66*s(z) + 2*x(z).\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 3630040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppqpaarraqrfp. What is prob of sequence rq?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 4. Suppose 1 + 14 = s. Calculate the least common multiple of b(-11) and 183\/s + 2\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:38 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 40599426?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 285*c**3 - 38497220*c**2 + 1300030857705*c + 45615165210 = 0. Calculate c.\nAnswer: -2\/57, 67539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 2*k**2 - 15*k + 41. What is i(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 - 21864*f**3 + 118388358*f**2 + 12246747912*f + 313748977689 = 0 for f.\nAnswer: -51, 10983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2813 + 41266. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) + (-115)\/(-35). Solve -4*j = -3*f - 25, 4*j - 4 = -f - p*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g + g + 5*g + 4*g + 12*g**5 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*f + 15, 5*f + 2*m - 18 = -2*m. Let r be (-14)\/(-4) - (-3)\/f. Suppose -r*c = -3*c - 12. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c**3 + 0*c - 1 + 2*c + 0. Calculate m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 109?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(sqrt(76) - sqrt(76)*2) - ((5 + sqrt(76) + 0 - sqrt(76)) + sqrt(76) + -4))**2 + -1.\nAnswer: 124*sqrt(19) + 73036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 130. Suppose 0 = -y - 3*y. Solve 4*l = a, -18 + y = r - 5*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let s(x) be the second derivative of -2*x**4\/3 + x**3\/3 + 36*x. Determine s(u(f)).\nAnswer: -32*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17390211 and 2505?\nAnswer: 86951055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from qaaeaqzma?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1a8608?\nAnswer: -1a8610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137\/15 - 551\/45. Let w = -6791899\/1631 + 408382736932\/98119329. Let j = -2\/20053 - w. Find the common denominator of j and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -498 greater than or equal to -474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47130256 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 z, and 1 s when four letters picked without replacement from ojllslolzljo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*s - 2440 = 481*s - 217*s for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2310, -2314, -2318, -2322, -2326, -2330?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 3\/7 (b) 2\/39 (c) -3 (d) -3\/55 (e) 2\/67 (f) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*g + 88*g + 64*g.\nAnswer: 383*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssh when three letters picked without replacement from hshshhhhh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-39))\/(c\/((c*c*c*c\/(c*c**(-1\/50)))\/c))*c**(-4\/23)*c\/c**29)**(-5\/2) assuming c is positive.\nAnswer: c**(-14773\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28030692 or 28030691?\nAnswer: 28030691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4*b**2 + b**3)*(66 - 66 + 17*b**2)*(1 - 6 + 3).\nAnswer: -34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + p. Let k(a) = 108 - 45 - 63 + 2*a. Give k(i(q)).\nAnswer: 6*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/110?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*28\/(-77))\/((-4)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1430*n**2 - 14219*n - 799. Calculate c(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -31*h**2 - 2*h - 3. What is k(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 plus 43706023?\nAnswer: 43706022.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 504 + -1969\/4. What is the common denominator of -47\/28 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 876 + -876.3297. Let h = d - -0.0067. What is h rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 122. Give i(29).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38527949\/12 + -3212809. Let a = m - -2148. What is the common denominator of 2*(-1)\/(-20)*1 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 45 = -47 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4759 - 4769. Which is smaller: 92 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-1456)*16\/(-20)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) -0.5 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 16446d?\nAnswer: -16446e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434054.\nAnswer: 2, 217027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9102432 divided by -106?\nAnswer: -85872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1606, 4111, 7524, 11845, 17074?\nAnswer: 23211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412913 + 220223 - h - 3*h + 0*h.\nAnswer: -4*h + 633136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjjjjmjmxjmjxmxj. Give prob of picking 1 x, 1 m, and 2 j.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -132.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11680 - 332 = -132*w for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 5. Let i(z) = -z - 6765898. Calculate i(d(w)).\nAnswer: 2*w**2 - 6765903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14011220 + -3?\nAnswer: 14011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2636172 and -11\/1512.\nAnswer: 5272344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.35459.\nAnswer: -0.035459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 3\/10, -29, 1\/2, 2412, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, 2\/21, 0.7, 0.163, -3, -1\/9, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*-2*sqrt(15) + ((sqrt(75)*-3 - sqrt(75)) + sqrt(75))\/sqrt(5))\/(-2*-4*sqrt(9)\/sqrt(3)*-5).\nAnswer: -9*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365435468 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2689 less than or equal to -2691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/5))\/(x*(x*((((x*x\/((x*x**(-7)\/x)\/x))\/x)\/x)\/x)\/x)\/x)*(x*x**(-1\/2)*x)\/(x*x*x**(-2\/15)*x*x) assuming x is positive.\nAnswer: x**(-269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -1)\/((-21)\/(-27741)). Suppose -2*m = v - j, 2*v - 18486 = 46*m - 48*m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -70, -2, -3\/5, -37?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14143400 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3094*z + 58789. Determine t(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*8\/5*((-18)\/36 + -2). Let m(g) = g + 1. Let r(d) = 10*d + 7. Let b(c) = 40*c + 27. Let t(h) = 2*b(h) - 9*r(h). Give x*t(k) - 36*m(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193\/627 + -2\/57. What is the third smallest value in -5, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 1\/7, 4\/153, -272894?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (17 - (20 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (31\/9)\/((-69)\/(-69)) + -3. What is the closest to -83 in 1, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 4, c: 7}. Give prob of sequence ssg.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7 - 11, -u = 4*f - 23. Is 19\/93 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/66520587 and 37\/738.\nAnswer: 16364064402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f + 0*f + (9*f**2 - 9*f**2 - f**3)*(-5684*f + 14544 - 14544).\nAnswer: 5683*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1941*s + 363. Is a(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftzfeztfttztetc. Give prob of picking 1 c, 1 e, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31484 + 46?\nAnswer: -31437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1\/4, -63 in descending order.\nAnswer: -1\/4, -2, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 776\/88 + -9 - 9\/132\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(20475\/(-560)) - (-13)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/880*25)\/(-17*(-20)\/11220)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 + n - 1. Let r(u) = -6*u**3 + 5*u**2 - 8*u + 5. Suppose 3*b + 9 = -g + 3*g, -2*b = 3*g - 7. Calculate b*r(t) - 5*s(t).\nAnswer: t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Suppose x*o - 149 = -4*a + 139, -a + 170 = 3*o. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037826 (base 11) in base 16?\nAnswer: -1bdc05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, 290\/21, -2\/15.\nAnswer: -2\/15, 1\/23, 290\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*o - 6, -o = 5*z - 0*o + 2. Suppose z = d - 205 + 78. Let s = 220 - d. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*m - 12, -11*m + 13*m - 4*u - 18 = 0. Solve -t - 2*s + 8 = -5*t, m*s = 2*t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113780 = 5*c - 4*z, -6*c + 4*c - z = -45512. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*g + 340, 3*u - 428 = -3*g + 112. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t)\/(t**1*t)*t**7*t**2*t assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -45 - (-6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 46*s**2 + 9*s + 24. Give f(-46).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-6) - 10\/(-15))*-15. Suppose 6*l + 380 = i*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5) + 7034\/10. Let l be q\/14 + 6\/(-21). Suppose 3*a = 5*d - 67, 3*d - 4*a - l = -1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 147392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ctrt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -549950676 times 0.2?\nAnswer: -109990135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 20485 + 10840. Let o = 424 + y. List the prime factors of o.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + a - 105, -3*a + 215 = 4*u - 2*a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/92 - 26\/(-44).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 - 29*p + 27. Let m(l) = -5*l**2 - 15*l + 14. Let o(v) = 4*a(v) - 7*m(v). Let t be o(-10). Solve 5 = 5*d + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 16 - 1 = 11*c, -2*u - 42*c + 23*c - 30 = -22*c for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 98949554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14056 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 17 = b - 5*o, 3*b + 3*o = -57. Let l(j) = j**3 + 17*j**2 + 35*j + 18. List the prime factors of l(b).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 6. Give m(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6301\/116 + 217\/4. Let r be 4*3\/48 - (-4)\/(-144). Sort -3, r, k.\nAnswer: -3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 63. Suppose -p + l*p = -5. Suppose -1079 = -p*v + 4*k, 856 = 4*v - 9*k + 4*k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.007, -2, -1\/6, -0.01?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3507 - d + d + 7035 - 16*d**2 - 3528.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in 2\/43, -0.5, -13.8?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 619038.4787 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3389295 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01219616 to four dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 1 - 1. Let f(k) be the second derivative of 0*k**2 + 1\/3*k**4 + 0*k**3 + 13*k + 0. Give l(f(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1719, 3445, 5171?\n\"Answer: 1726*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -491.18478 - 0.01522. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -1 - (-2258 + 2235) - -59?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2157, -4169, -6181, -8193, -10205?\n\"Answer: -2012*g - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2932*z + 2912*z + 2680. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 1503*s + 56153. Determine h(410).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5081, -20343, -45781, -81395, -127185, -183151?\n\"Answer: -5088*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62712 + 62712 - 29*r**2 + (9*r - 16*r - 16*r)*(0*r - r + 0*r) to g*r + n*r**2 + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:45 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*w = 195*w + 6482531. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010100010 + -101010010011?\nAnswer: 11001000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-3) + 0 - (-1070)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/16)\/(6\/(-128)*-4). Suppose -t*w - 1219 = -1235. Which is the smallest value? (a) 3 (b) 12\/7 (c) w (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -48, -3, 1 in descending order.\nAnswer: 8, 1, -3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 2*sqrt(720)) - (-3*((sqrt(720) - sqrt(720)*1) + sqrt(720))**2 - (sqrt(720) + (sqrt(720) + -1)**2*-1 + sqrt(720)))) + 4.\nAnswer: -24*sqrt(5) + 1437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:23 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6238?\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0648 + 0.5648. Let f = 2.1 + -1.76. Let v = f + -0.74. Which is the third smallest value? (a) 0.7 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p. What is the tens digit of m(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((57 - 74) + (2 - -2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/60 and -68\/35.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 5*x - 4*a - 16, x - 3*a = 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1 (c) -1\/11 (d) 0.3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + ((-564)\/(-24) - -15) + (-5)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = 29*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -229\/4. Are 0 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(720) + 2))**2.\nAnswer: 432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + -0.04. Let p = i - 0.28. What is the nearest to 0.1 in p, 4, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -21.86, 14, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19065 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*d - 0*d. Let h = 9 + -2. Calculate the highest common factor of d and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 8*n - 2. Suppose -2*y + 5*s - 16 = 2*y, -4 = y + 4*s. Determine b(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -66. Let p be (58 - -1)*(11 + h). Let n = -2058 - p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/4)\/((-8)\/32). Let b(u) = 0*u**2 - 2*u - 3*u**3 + 5*u**2 + 2*u**3 + o. Let m(y) = -3*y**2 + y - 3. Determine 3*b(k) + 5*m(k).\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179490734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4010 = 4*u - 3*u, 2*n + 2*u = 2676. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = l - 282, r - 78 = -4*l. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {z: 4, j: 12}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -2 + 6\/(-1). Let b(w) = -w**3 - 5*w**2 + 3. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78654, 158841, 239028, 319215, 399402, 479589?\n\"Answer: 80187*x - 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -73.262 and 0.4.\nAnswer: -72.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 43 - 83. Let a be (2 - 0) + 6*2. Calculate the greatest common factor of a and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 21. Suppose 4*m - 6*m = -d. Suppose -h + 8 + m = 3*k, 4*k - 4*h = 36. Which is greater: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 4\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*s + 15, 3*s - 36 = -2*x + 5*x. Let k(u) = -u**3 - 10*u**2 - 24*u - 22. List the prime factors of k(x).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72.06257 litres?\nAnswer: 72062.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6490 is divided by 750?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -168*r - 1008. Let c be n(-6). Suppose -5*h - 4*s + 92 = 0, 4*h = 5*s + 98 - 8. Solve 0 = -c*t + 4*t - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*v + 215*v + 159*v to a*v + l and give a.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z - 5*z**4 + 4*z + 9*z**4 wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1880.833 and -0.5.\nAnswer: -1881.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.129, -144, 2\/7?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*3\/(243\/189)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/41 - 77\/205. Sort c, 1, 3 in descending order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - 2*v**4 - 2*v**3 + 2*v**4 + 2*v**3 + (v + 0 + 0)*(-2*v**3 + 5*v**3 - 4*v**3) + (4 - 4 + v)*(16*v**2 - 16*v**2 + 8*v**3).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252316 is divided by 92?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, -128, -1294, -2912, -4976, -7480?\nAnswer: -10418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liicililllxxlcrili. Give prob of sequence ccxx.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 338.\nAnswer: -7\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-4 - (sqrt(1088) + -1 - sqrt(1088)))**2*-1.\nAnswer: -1089 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 83*o + 39. Let q be b(42). Is q\/((-21)\/6244) + 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/45)\/(2\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.47 - -1.85. Let w = 0.32 - m. Put 6\/11, w, 0.3, 3 in decreasing order.\nAnswer: 3, 6\/11, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-75))\/((-56)\/20 + 1). What is the nearest to p in 0.2, 8, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -1\/24 (b) -44 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1660 + 1661. Which is smaller: f or 72\/71?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3644986, -3644956, -3644912, -3644848, -3644758, -3644636?\nAnswer: -3644476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54 + 24*b - 54 + (5 + 0 + 12)*(2*b + 0 + 0)*(1 - 2 + 4).\nAnswer: 126*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -1.4. Which is the second biggest value? (a) 1\/3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9883973?\nAnswer: 11, 898543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.43 smaller than 4\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 129757950 divided by -1029825?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 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: Does 200 divide 48491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b - 363. Let g be y(-36). Solve -g*q = 99 + 33 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqggigwqggigggrgwgag. What is prob of picking 2 i and 1 q?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7199, 7381, 7719, 8243, 8983?\nAnswer: 9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8*c - 44*c - 17*c as u*c + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 + 159*g\/2 - 8427\/2.\nAnswer: -3*(g - 106)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d = 8181 - 6971 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-9))\/((-2)\/12). Let h = 4 - 0. Suppose 0 = -2*b + 10, 3*b = -h*g - b - 16. Is g greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -156. Suppose -2*m = -h + 53, 0*h - h + k = 5*m. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.26 - 11.2. Let x = 0.06 - h. Which is the second smallest value? (a) x (b) 5 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*5\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -36*y + 13. Let o(h) = h - 1. Let r(s) = -5*o(s) + t(s). Let z be r(-6). Suppose u - z = -5*u. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 55*a**2 - 13*a - 2400. What is u(56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 974*c - 190. What is the tens digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 2*x + 15. Let f be -1*(12\/3 - 4). Let s be t(f). Is 7986\/10 + (-2)\/s*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 5*r**2 + 2*r - 7. Let c be (6\/9)\/((-4)\/(-30)). Let k be v(c). Solve -k*w - w = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-49) + (-7038)\/(-14). Suppose 5*y - h = 107. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deee when four letters picked without replacement from ddeee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7125\/250)\/((18\/16)\/3). Solve -7*a + 118 - c = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v + 4. Let c be ((-8)\/(-10))\/(v\/50). Let k = -5 + 7. Solve 3*h - y - y = -c, k*h - 3*y + 15 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*v + 7, -24 = -3*l - 0*l + 3*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:12 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01062557 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*a - 7, -3*a = -a - z - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 210, 625, 1300, 2241, 3454?\n\"Answer: u**3 + 124*u**2 + 36*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/75)\/((-102)\/(-153)))\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/5))\/(d**2*d))**20\/((d\/d**(-3\/4)*d*d**(-6)\/d*d)\/(d**(-3)*d*d**5*d)) assuming d is positive.\nAnswer: d**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 28*y + 0*y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 60 = 3*t. Let d be t\/(-12) + 1\/4. Which is smaller: d or -4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122020212211212?\nAnswer: -122020212211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2892 is divided by 944?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -1 + -13 + -19 - -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*v + n - 361, 3*v + 404*n = 407*n + 27 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:14 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i + 7. Let v(n) = -9*n + 1. Let q(m) = -24*m. Let p(z) = -q(z) + 2*v(z). Determine -6*k(b) + 22*p(b).\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(112))**2*-4 - ((sqrt(7) - (sqrt(7) + sqrt(2268)\/sqrt(4))**2) + -5).\nAnswer: -1983 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45449 + 89160. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936 (base 16) to base 7.\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 2, v: 1, m: 1, k: 2, w: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000002100 (base 3) to base 10.\nAnswer: 39429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:19 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -51. Which is the smallest value? (a) x (b) 3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13230?\nAnswer: -13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1438*m**2 + 3*m + 13. Let x(r) = 480*r**2 - r - 4. What is -2*t(b) - 7*x(b)?\nAnswer: -484*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 19. Suppose 0 + 3 = -3*f. Let w be ((-18)\/i)\/(f\/4). Solve 2*b = -w + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 644*v**2 + 51591*v - 1570. Give o(-172).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 509078 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -35+-0.192602980974\nAnswer: -35.192602980974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -3 - 79\/(-79)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 7*j**5\/32 + 409*j**4\/96 + 67*j**3\/12 + 11*j**2\/4 - 95*j - 4. Factor c(x).\nAnswer: (x + 11)*(5*x + 2)*(7*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228.92 - 227.92. Let x = -0.2 - -0.2. What is the nearest to b in -1\/7, 21, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68884, -68883, -68882, -68881, -68880?\nAnswer: -68879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-10 - -1)\/(-3). Let t be -1*(j + 0) + -689. What is t rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 7*o - 4. Suppose -63 = -4*m - 11. Let k(g) = -2*g**2 + 3*g - 2. Let u(s) = m*k(s) - 6*z(s). Let r(c) = -c**2 - 1. What is r(b) - u(b)?\nAnswer: b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13912 - 4588. Is 84 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, 5, -1, -2\/13 in ascending order.\nAnswer: -13, -3, -1, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from bbnbewbbwbbbxebxbxbb.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((7 - -3) + (3 - (-11 + 16)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32833.\nAnswer: 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7e9 (base 16) to base 8\nAnswer: -3751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -880 less than or equal to -880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 10*s**2 + 8*s + 3. Let v be x(-9). Suppose 0*p - v = -4*p. Solve -l + 12 = -p*j, 0*l + 3*l - 18 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598640083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 7. Let v be s(-5). Let l = v + 5. Let q = -6 + l. Solve q*o - 5 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -135. Suppose 11 = 3*a - i. Suppose 2*w - a = -3. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 466, 463, 458, 451, 442, 431?\n\"Answer: -h**2 + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 107?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/45)\/((-26)\/65).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + 38*x - 195. Calculate g(5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeee when four letters picked without replacement from ezee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 785 - 785 - 29*i**2. Let m(k) = -3*k. Determine m(o(g)).\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 = k - 0*k, -4*n = -k + 41. Let w be (-9 - n)*(2\/(-1) + 1). Solve w = -2*i - i + 3*p, p + 4 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3981*u + 107479. Calculate k(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllklllkllkllll. What is prob of picking 2 l and 1 k?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*g*n**3 - 3*g*n**2 + 26946*g*n - 1693*n**3 - 3*n**2 wrt n?\nAnswer: -624*g - 10158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*h**(4\/3))\/((h*h\/(h*h\/h**5))\/(h\/(h*h**(-9)))) assuming h is positive.\nAnswer: h**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*j**3 + 319 - 319 + 2*j**2 + j**3 - 2*j**2 + (5 - 3 + 0)*(-j**3 - j + j) + j**3 - 3*j**3 + 0*j**3 + 4*j**3 - 3*j**3 + 2*j - j**2 + j**3 + 2.\nAnswer: -156*j**3 - j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 674, 663, 638, 593, 522, 419?\n\"Answer: -l**3 - l**2 - l + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 + 3*h + 1. Suppose 0 = f + 4*f - 30. Let v(u) = -u**2 + 41*u - 346. Let p be v(12). Suppose p*j = 5*j + f. Give y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*f - 11400 = -454*f. What is the smallest common multiple of 1938 and f?\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070334977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6272453l to millilitres.\nAnswer: 627.2453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1707279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 369417482 a multiple of 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**6)\/(g**(-5)\/g))**(-3\/13) assuming g is positive.\nAnswer: g**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8040645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*x**2 - 225*x?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 76*t**3 + 9*t**2 - 96*t + 443. What is the thousands digit of w(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -3 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213.9702 - -0.0298. Let m = 195.8 - z. What is m rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 48*h - 266. Calculate the remainder when 50 is divided by m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18 from 5139579082641.\nAnswer: 5139579082659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 9. Solve -y + i = 0, 9*y = 4*y - 4*i + n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 11) to base 14.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + 94*y**2. Let n(t) = 2*t - 7. Give m(n(k)).\nAnswer: -4*k**2 + 28*k - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) -15 (d) 1 (e) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251609725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3389, -2419, -793, 1495, 4451, 8081, 12391?\n\"Answer: v**3 + 322*v**2 - 3*v - 3709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 162. Let r be (d\/(-2))\/((-6)\/(-36)*3). Which is the nearest to r? (a) -1 (b) -0.3 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*c*c*c**(1\/9)*((c\/(c\/c**(1\/4))*c)\/c)**(2\/63))\/((c**(2\/5)\/c*c**(2\/15))\/((c*c**(-7))\/c*c**(-3))) assuming c is positive.\nAnswer: c**(-589\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 488\/6*2\/((-440)\/2). Let i = 2393\/2640 - s. Find the common denominator of 121\/30 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/24 + 1 + (-47)\/(-92). Is 0 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most 214.968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/42 and -23\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 3645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Suppose -2*t - 88 = -3*k - 7*t, 5*k + 5*t = 140. Calculate the remainder when k is divided by 4\/p*(-21)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2513, 1743, 459, -1339, -3651, -6477?\nAnswer: -9817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (1 - 4)) + -4. Let h be ((-4)\/p - 4)*3\/(-6). Is 38 a factor of 4\/10 - (383\/(-5) + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 260405.\nAnswer: 260403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5164 divide 1699384612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 10809, -0.14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2. Let r(x) = 160*x - 325*x + 164*x. Give v(r(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 1429\/9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 7*k + 195. What is the highest common divisor of 26 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u**2 + 5. Determine y(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -1 - (0 + (-40)\/5). Suppose 0 = -4*g - 5*f + 36, -4*f = -13*g + t*g - 4. Calculate the remainder when 6 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 19 = 0. Let y = 29 + l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1315*m + 1243982. Calculate x(-946).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21472 is divided by 1263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0069 + -0.1069. Which is the nearest to d? (a) -6 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*sqrt(49)\/sqrt(63) + (sqrt(7) + 0 + sqrt(7) + -2)*6))**2.\nAnswer: -1280*sqrt(7) + 49984\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10341890 and 1007.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + i**2. Let s(r) = 5*r**3 - 2*r**2 + r. Let k be ((7 - 1)*-1)\/(375\/(-500)). Determine k*u(o) + 3*s(o).\nAnswer: -o**3 + 2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 11\/10, -4, 0, 0.06, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -331324\nAnswer: 19879.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*a + 51799990 = -0*t, 3*t - 2*a = -31080010. What is t rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from kfffkfffffffkfffff.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 76700 times -0.8\nAnswer: -61360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p**3 + 446*p**2 - 16*p**3 - 446*p**2.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/206 + 397\/3090. Which is the closest to 1? (a) h (b) 1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 11:39 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppqpppp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 1\/602, -1.9, -3 in descending order.\nAnswer: 2.3, 1\/602, -1.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*s + 26, 36*s = 38*s + 5*r + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*f + 2*f + 3*b, -4*f = -2*b - 16. Let c(w) = -2*w**2 - 3*w + 3*w**2 - 4*w + 9. Let i be c(f). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6350294 to the power of 1\/2, to the nearest integer?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412 + 10*r**2 - 202 - 205.\nAnswer: 10*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let f(x) = 4*x**2 + x - 63. Determine f(o(z)).\nAnswer: 4*z**4 + z**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the remainder when 945227 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 1\/3, -2, 1 in descending order.\nAnswer: 1, 1\/3, 0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 + 5*n - 1. Let i be r(-6). Suppose -3*b = -2*g + 3*g - 4, -i*b + 5*g + 20 = 0. Solve -3 = -b*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 3)*2\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let b = -0.0682 + -56.7318. Let j = 56.7 + b. Sort -1, j, p in decreasing order.\nAnswer: p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2519.51350272 - -1737955.51287272. Let z = 1735443 - k. Let i = z + -7. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/30 + -2 - 28\/(-5). Suppose 10057 + 4703 = -y*o. What is the tens digit of ((-2)\/3)\/(4\/(o\/6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 1254?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.356 to 0 decimal places.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(18) + 1) + (2*sqrt(198) + sqrt(198))\/sqrt(11) + -4)**2 + ((sqrt(18) - (sqrt(18) + sqrt(648) + sqrt(648)*-1)) + sqrt(882) + 1)**2.\nAnswer: 6*sqrt(2) + 1532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 5*a**2 - 5*a**2)*(195 - 245 + 338 + 590 - 85*a**2 + 0).\nAnswer: -85*a**5 + 878*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/12 - i**3\/6 + i**2\/2 - 25*i + 12. Let c(b) be the first derivative of h(b). Suppose 5*j = -0*j. Determine c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3\/5 (c) -3\/40 (d) -10016\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) 40 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 116 = -32. Let x = 164 + r. Solve 2*h + x = -2*h + c, 5*c - 35 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6701*h**4 + 2*h**2 + 4*h + 404 wrt h.\nAnswer: 160824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*i - 74*i - 8*l - 24, 0 = i - 3*l - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + -1 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209\/4 - -52. What is the nearest to -1 in -1\/63, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 529 = 2*g - 0*g, 4*x - 698 = -g. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - -2) + 6 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 18, 2\/17, -2, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + (48 - -11) - -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 3 - (-2 + 2). Let l(f) be the third derivative of -f**6\/60 - f**5\/30 - f**3\/3 - 5*f**2. Is 17 a factor of l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/9161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 74622260.640191.\nAnswer: 74622260.700191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2533.68 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 150 times 0.06\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/3, 0.07, -49, -4, -2\/13.\nAnswer: -49, -4, -2, -2\/13, 0.07, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1917*0.06347\nAnswer: 121.67199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.5041 minus 1.81632?\nAnswer: 378.68778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 17*m - 510 + 44*m**3 - 474 + 987 as u*m**3 + r*m**2 + x*m + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 + 4810*s**3 + 1196656*s**2 + 70966944*s = 0 for s.\nAnswer: -116, 0, 2637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2 - 37*m**3 - 4*m + 38*m**3 + m**2 + 2 - 5*m**2. Let y be 6 + -2 + (-3 - -5). Does 13 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75786, -154377, -232968?\n\"Answer: -78591*z + 2805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32020445*m**3 + 110923961*m**2 wrt m.\nAnswer: -192122670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 41.7. Let p = 176 - 202. Let h = k + p. Which is the biggest value? (a) 0 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 964, 1449, 1936, 2425, 2916?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -20, 59, 0, -3, -5 in decreasing order.\nAnswer: 59, 0, -3, -5, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3392771.\nAnswer: 3392771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110026192?\nAnswer: 2, 31, 221827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1522 + -31?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:34 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**36*(o*o**(-1\/2)\/o*o)**21 assuming o is positive.\nAnswer: o**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14)**46*j**(-36)*(j\/(j*j\/(j\/(j**8\/j))*j)*j*j)\/j assuming j is positive.\nAnswer: j**601","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1156881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(6 + -5) + -3. Let o(h) = -21*h**3 + h**2 + h + 1. Calculate o(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2503116 bigger than -42552956\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/154 and ((-24734)\/(-16688))\/((-4)\/(8\/(-45))).\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -5*y**8\/336 - 23*y**7\/840 + 19*y**6\/480 + 5*y**5\/48 + y**4\/96 - y**3\/12 + 5*y**2. Suppose c(i) = 0. What is i?\nAnswer: -1, -2\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*w + 71*w - 15*w)*(3 - 19*w**4 - 2 + 6*w - 7*w).\nAnswer: -2964*w**5 - 156*w**2 + 156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5637673ml to litres.\nAnswer: 0.0005637673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24849 and 11502326?\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12792 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45315 and 2067.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350461220?\nAnswer: 2, 5, 3593, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*d**3 + 1637*d**3 + 2197*d**3 - 269*d**3 - 357*d**3.\nAnswer: 3140*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11071001?\nAnswer: 953, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f + 6*f - 6 + f. Let d(g) be the third derivative of g**4\/24 + g**3\/6 - 2*g**2. Determine 4*d(k) + v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411.08732031 - 22962.\nAnswer: -23373.08732031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27\/5, 5, 10?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719957.2 - 1637.1?\nAnswer: -1721594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/210)\/(1\/(-10)). What is the third biggest value in -3\/4, b, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/15*2)\/((-1)\/(-3)). Suppose 95*y**2 - 20*y**4 - 95*y**2 - 16*y**3 - t*y**5 = 0. What is y?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 7}. What is prob of sequence nqq?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)\/y*(y*y**(-1\/3))\/y)\/(y\/y**6*y\/y**4*y)*(y**(4\/9)\/(y*y\/(y**(1\/7)\/y)))\/(((y*y**(-1)*y)\/y)\/y*y)**(-37) assuming y is positive.\nAnswer: y**(268\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 31*x + 5 = 0. What is the first derivative of 9*f**3 - 52*f**4 + x*f**3 - 176 - 22*f**3 + 8*f**3 wrt f?\nAnswer: -208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 1 b when three letters picked without replacement from {f: 2, c: 2, z: 1, p: 1, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 52. Let x be l(8). Suppose 0 = 5*u + 5*q - 105, 18 = x*u - 5*q - 93. Sort u, 0, 4.\nAnswer: 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (8 - 3) + 4 + 50 + -59 + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-64)\/24. Suppose s = -5*p + 79, -68 = -4*p + 2*s + h*s. Let i be ((-4 + 3)*0)\/2. Solve l + 2*l = -4*a - p, i = -a + l + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -h - 3, 2*h + 260*b - 15 = 257*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*k = -24 + 119 + 215. Sort 0, k, -2, 92, -5\/2 in descending order.\nAnswer: 92, k, 0, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44954827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 6*z - 46*z + 10. Sort -3\/4, z, -0.1 in ascending order.\nAnswer: z, -3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 12. Let f be (-5 + 6)\/(1\/4). Let m be s(f). Suppose 2*i + 4*v = v + 41, 5*v + 15 = m. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 5*h + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-3 - (-14 + 29)) - 0\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 244*m**3 - 5*m**2 + 8*m + 1. Let y be p(7). Suppose 3*g - y = 12496. Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163118 * -0.0359.\nAnswer: -5855.9362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2)*s)*s)**(7\/5)\/(s\/s**5*s*s**(-2)) assuming s is positive.\nAnswer: s**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5124\/(-1464))\/((-2)\/(-12)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + -7 + -4. What is the units digit of 1980\/(-54)*24\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 3401?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133638, 133547, 133298, 132813, 132014, 130823, 129162?\n\"Answer: -13*s**3 - s**2 + 3*s + 133649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 85176 and 39373914.8.\nAnswer: 39459090.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2650.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -715, -267, 1357, 4157, 8133, 13285?\n\"Answer: 588*n**2 - 1316*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -176, -312, -494, -728, -1020?\n\"Answer: -l**3 - 14*l**2 - 47*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 9*s**2 + 4. Let c(t) = 1. What is 4*c(x) - o(x)?\nAnswer: -x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-46)*(t\/(t\/(t**(-5)*t)))\/t**(-7) assuming t is positive.\nAnswer: t**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5465, 5393, 5321, 5249, 5177, 5105?\nAnswer: 5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 13*d**3\/3 + d**2\/2 + 2*d - 466. Let n be (-12)\/15 + 2\/(-10). Let l be v(n). Solve 5*g = -4 + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/2460 + 45497\/31980. Let p be ((-3514)\/(-20) - -2)*(-7)\/1. Let q = -1238 - p. What is the common denominator of l and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2630038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zazo when four letters picked without replacement from lvlazallvoag.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*u**4 + 13874*c**2*u**3 + c**2*u + 4*c + 11*u - 13 wrt u.\nAnswer: 36*c**2*u**2 + 83244*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21448989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263 is divided by 198?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3 + 684212*t**2 - 29259470912*t + 29258786704 = 0.\nAnswer: 1, 85526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 2, s: 3, f: 3, w: 2, p: 1}. Give prob of picking 2 f and 1 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*d**3 + 2*d**3 - 5)*(-5 + 2 + 2) + (-10*d + 0*d - 4*d)*(-1 - 2*d**2 + 1) - 1 - 2*d**3 + 1.\nAnswer: 28*d**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(15)\/sqrt(3) + 5 + sqrt(5) - (sqrt(500)*1 - sqrt(5))) + (6*sqrt(100)\/sqrt(5))**2 + 0).\nAnswer: -2175 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 23\/2*k**2 - 7\/2*k**4 - 1\/3*k**6 + 0*k**5 + 77 + 0*k + 0*k**3. Find the second derivative of b(c) wrt c.\nAnswer: -40*c**3 - 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 20. Let n be o(-15). Suppose -n*r = -4*c - 26, 2*r + 3*c = 5*r - 18. Suppose -3*t + 10 = -2*t - 2*a, 0 = -r*t - a. Solve -x + t = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 7*i + 47160 + 47171 - 94331.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-272)\/72*39)\/(31\/117). Let r = n - -556. Which is smaller: r or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/13 + 2*n**2\/13 - 24*n\/13.\nAnswer: 2*n*(n - 3)*(n + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 446d - a82?\nAnswer: 39eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*x - 17, -4*x + 0 = 3*p - 3. What is the third derivative of 5*w**5 - p*w**5 - 6*w**2 - 9*w**5 wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 50. Let b(s) = 6*s**2 - 50. Give -6*b(w) + 7*d(w).\nAnswer: -w**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251692621?\nAnswer: 1789, 140689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from mzzzzzmzzzzzzzmzzzzm?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3424 - -6763. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14206, 14213, 14234, 14275, 14342, 14441?\n\"Answer: k**3 + k**2 - 3*k + 14207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.191740265 to 5 dps.\nAnswer: -0.19174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, v: 1, e: 2, o: 5, y: 1}. What is prob of sequence ovy?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 3*n + 5. Let j be v(2). Suppose -307 = -4*r + j*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.09. Let y = -49.62 - -49. Let g = y - a. Is 0.1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-6)\/8). Is d\/(-7) + (-789)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/5, -2, -1355, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9326247 rounded to four dps?\nAnswer: -0.9326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -266 + 274. Let i = 15 - 1. Let x = i - p. Let n(q) = 5*q + 6. Let w(u) = -11*u - 13. Calculate x*w(t) + 13*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(260\/(-66) - -4). Calculate the common denominator of 71\/6 and -1 - -1 - j\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3398*g - 3399*g + 6791*g**2 + 6797*g to k + s*g + c*g**2 and give c.\nAnswer: 6791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 28 + 23 + 249*n**2.\nAnswer: 249*n**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509610 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 741570 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1 - 2*r - 3*r + 2*r. Let q(c) = -c**3 - 14*c**2 + 15*c - 1. Let v = 90 + -105. Let g be q(v). Let n(d) = -d. What is g*n(x) + b(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*m)*(1172*m**2 + 904*m**2 + 168*m**2 - 464*m**2).\nAnswer: -3560*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -f. Let v = -9 - f. What are the prime factors of (-477)\/(-27) + v\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1822968.\nAnswer: 2, 3, 7, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.085 - -0.985. Let m be 1\/(-1 - 1\/2). Let n be 9\/(-4) - (-1)\/4. Put n, m, u in decreasing order.\nAnswer: u, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*25*2\/(-5)*(-9)\/(162\/(-153))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -34*f. Let o be z(0). Suppose 26 = -0*x + x + 5*d, x - d + 4 = o. Sort -1, 90, 0.2, x in descending order.\nAnswer: 90, x, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10833030, 10833031, 10833032, 10833033, 10833034, 10833035?\nAnswer: 10833036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u. Suppose 0 = 2*m - 4. Let x be p(m). Solve -2*s + x*k = k + 10, 2 = 2*s + 2*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30077, 30079, 30079, 30077, 30073?\n\"Answer: -g**2 + 5*g + 30073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 6. Solve -4*m - 3 = b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76)*1)**2 + ((0 + sqrt(76))*5)**2.\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21379 + 21384. Let x(o) be the first derivative of -6 - 38\/5*o**w + 0*o + 0*o**2 + 25\/3*o**3 + 0*o**4. Find the third derivative of x(g) wrt g.\nAnswer: -912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 1238, 1985, 2750, 3539?\nAnswer: 4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/10)\/(-1)*-5. Find the common denominator of 101\/30 and 3\/(-6) + (-151)\/s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9186, 6119, -2206, -18417, -45142, -85009, -140646, -214681?\nAnswer: -309742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.044 (b) 139 (c) 1\/73 (d) -2\/3 (e) 3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.73.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 486 = 19*f. What is the remainder when 1025 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 4*h**3\/3 + 4*h**2 - 29*h + 41. Let i be g(5). Let f = i + -85. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -19\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/4*317\/(-2219).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0248? (a) -4\/7 (b) 2\/19 (c) -7084\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 83 (b) -33 (c) -2\/11 (d) 4 (e) 2 (f) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7633.394l in millilitres?\nAnswer: 7633394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 391, 296, 181, 46, -109?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(2448) + sqrt(2448)*-1))**2 - (-2 + 2*(sqrt(153) - (sqrt(153)*-3 - sqrt(153))))**2.\nAnswer: -15304 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186886031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28131.\nAnswer: 3, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -73, -198, -425, -784, -1305?\n\"Answer: -5*l**3 - 6*l**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 24*d**2 - d + 4. Let x = -381 - -393. Let k be u(x). What is the smallest value in 2\/5, -2, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2 - 3*h - 11. Let i be v(9). Suppose -19*s + i*s = -1532. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*l**2 - 17*l**2 - l**2 + 33*l**2 + 56*l**2.\nAnswer: 269*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f - 35*f - 30*f + 17*f to u + g*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -33909768.4 to the nearest 1000.\nAnswer: -33910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5604162 is divided by 25357?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 0.04 (b) 3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 - 5*a**3\/3 + 2*a**2 + 2*a - 11. Let l be f(4). Let 0*n**l - 2\/3*n + 2\/3*n**3 - 1\/3*n**4 + 1\/3 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 108, -1.28, -0.15, 3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 3, k: 1, d: 6}. Give prob of sequence aazd.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) 3\/7 (c) -1\/2 (d) -2.6 (e) -4 (f) 1\/14 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 31365?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1894, -3751, -5564, -7327, -9034, -10679, -12256?\nAnswer: -13759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6993 (base 11) in base 7?\nAnswer: -35520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46+0.2\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.8, 392, -16\/3, 0.4 in increasing order.\nAnswer: -16\/3, -3, -1.8, 0.4, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -44?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) -0.1 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 0*f**2 + 4*f**2 + (-4 + 4 + f**2)*(6 - 5 - 11) + 5*f**2 - 4*f**2 + f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.70514 centuries to months.\nAnswer: 89646.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31948135 divided by -8215.\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*t + 1404 = 136*t. Let g = -741\/5 - -3957\/35. Does g = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f + 9. Suppose -4*k = -3*k - 4*q - 81, -4*k = -2*q - 296. Let r = k - 67. Determine n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*-1 - sqrt(1764) - (sqrt(5929) - sqrt(5929)*1 - sqrt(5929)))\/(-2*(sqrt(448) + (sqrt(448)*1 - sqrt(448) - sqrt(448))) + 1*sqrt(448)*2).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 - (-2 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/6)\/h**(-2\/5)*(h*h**(1\/9))\/h*h*(h\/((h\/(h\/(h**7\/h)*h))\/h))\/h*(h\/h**(-2\/5))**24\/(h\/(h\/h**1)*h)**(-30) assuming h is positive.\nAnswer: h**(1625\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 6100164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - v + 11 + 4*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1061*c**6 + 34*c**2 + 9*c wrt c?\nAnswer: -127320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = 2*p. Suppose o = -3*o. Sort o, p, 3 in ascending order.\nAnswer: o, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27190 = -4*y - 5*x + 5418, 5443 = -y + 5*x. Let r = -2444 - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -139*x - 28. Let a(k) = 32*k + 7. Let v(z) = -9*a(z) - 2*i(z). What is v(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((2*sqrt(153) - sqrt(153)) + sqrt(153)) + -5*(sqrt(153) - sqrt(153)*1))*-1)\/(sqrt(144)*2 + (sqrt(9) + sqrt(63)\/sqrt(7) - sqrt(9))*-1).\nAnswer: -10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 13. Suppose 0 = 5*u - 14 - w. Solve -9 = 5*f + j, -5*f - 2*j = -u*j + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 813? (a) -3 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -208.8054*1\nAnswer: -208.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 bigger than 72448\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)\/3*-1. Suppose 3*t = 3, -o + j*t - 6 = -2*t. What is the units digit of (-2 - -7) + (-2 - o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 68*g + 5*g - 1)*(-2 + 0 - 1).\nAnswer: -219*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 8*q - 14. Let u be r(5). Let k(i) = u + 15*i + 1 + 3 - 16*i. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*4\/(-2))\/(4\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(1 - (-1 - -3)). Let n(k) = -72*k + 479. Let q be n(6). Which is the closest to q? (a) -0.4 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -81, 42, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 476 + -381. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l - 36*l + 36366 = 0. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1467 (b) -3 (c) 2\/9 (d) -31 (e) 6 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*s = 307*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -5 (c) -1\/10 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from dddqqqdrxdoqxxdxddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -10*p**7\/21 + p**4 + 9*p. What is the third derivative of g(f) wrt f?\nAnswer: -1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 3}. Give prob of sequence nuu.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**4 + f**3 - f**2 + 5*f + 6. Let s be ((-2)\/(-4))\/((-2)\/24). Let d = -4 - -3. Let n(r) = r**4 - r - 1. Let x(w) = d*v(w) + s*n(w). Factor x(j).\nAnswer: -j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354.7 - -355.7. Which is the closest to 0.1? (a) w (b) 2 (c) 3\/50 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122.2 + -138. Let m = 7.4 - l. What is m rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3207, 3211, 3217, 3225, 3235, 3247?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 294.5 - 5235850\nAnswer: -5235555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 1188 - 801*s - 81\/4*s**3 + 195*s**2 + 3\/4*s**4 = 0.\nAnswer: 4, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*w + 16, 0 = 2*j - 0*w - 2*w + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -13?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38\/163 (b) -3 (c) -4 (d) -7\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186768289?\nAnswer: 181, 1031869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 6*h + 9. Give b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1608 + 1646 = 2*b. Solve -3*u = -4*h + 1, -h + b = -5*u - 3*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l**3 + 1 - 2 + 2*l**2 + 12*l**3 - 17*l**2 + 14*l**2 + 4*l in the form c + r*l**2 + b*l**3 + i*l and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689040270.\nAnswer: 2, 3, 5, 37, 83, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*p + 117623 = 392*p. List the prime factors of p.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100110011111111110000011 (base 2) to base 13\nAnswer: 212495c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113032131101 - 21?\nAnswer: -113032131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507231 is divided by 125599.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 30 = r, -4*u + 0*u - 3*r = 35. Let n = -9 - u. Solve 2*d + n*y + 1 = 3, y = d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.8684 centuries to decades.\nAnswer: 5498.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169253 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2 - (-14)\/(-3)). Let m = -0.49 + 0.39. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 1 - 7. Let b be 0 + (-38)\/14 + 18\/(-63). Sort -2, f, b in ascending order.\nAnswer: f, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -118, 0, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459919876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from qsjjjjs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -23, -32, -45?\n\"Answer: -2*w**2 + w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(1008)*1 - sqrt(1008)) + sqrt(1008))*1*-1)**2.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*f + 144, 0 = -f + 4*v - 28 + 70. Let c = -28 + f. Suppose -3*m + m = -c. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, -5 in descending order.\nAnswer: 4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (67 - 65) + (-7 - (-1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361388 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 72236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -56*d + 13. Let b(c) = -58*c + 12. Let p(y) = 6*b(y) - 5*s(y). Differentiate p(n) wrt n.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 3*b**2 - 3*b + 2. Let x be g(2). Let f = 8 + x. Suppose -2*h + 0 = -10. Solve -10 = -f*u - h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*a - 2*a + 22, 0 = 5*i + a + 5. Let c(j) = -1. Let m(y) = -y - 4. Let s(b) = 6*b + 14. Let z(k) = 5*m(k) + s(k). Give i*z(f) + 6*c(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/8 - 7*t**3\/6 - 15*t**2\/4 - 9*t\/2 + 1. Factor j(k).\nAnswer: -(k + 1)*(k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q = 4*p - 570, 3*p = 4*q + 422. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*m + 23, 2*m - m + 19 = 3*z. Let v(f) = -19*f - 1. Let p(k) = -k + 1. Let c(o) = p(o) + v(o). Let b(s) = 7*s. Give z*c(h) + 17*b(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2\/21*f**3 + 9 - 8\/7*f + 3\/7*f**2. Let o(d) = 0. Calculate d.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 137d9 + -d8?\nAnswer: 13701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Let j = -6 + n. Let p(y) = y + 8. Let o be p(j). Sort -3, o, -2 in descending order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-59 + 9 - 18)) + -5 + -14.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -210012100000 (base 3) to base 15\nAnswer: -83956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1539) + (sqrt(1539) - 1*sqrt(1539)))**2.\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17227 and 3703?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 113. Suppose y + 0 = -8. Let b = o + y. What is the highest common divisor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 26. Let r be 4\/s*(-4 + 5). What are the prime factors of (19*(-1)\/2)\/(r\/(-20))?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8615, 8941, 9267, 9593, 9919, 10245?\n\"Answer: 326*p + 8289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/11 + 1129252*l**2\/11 + 318803649125*l\/11 + 637602781250\/11.\nAnswer: (l + 2)*(l + 564625)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22.1. Is t equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2303\/13 - -177. Let m be (6\/14)\/(3\/2). Sort m, 0.3, g in increasing order.\nAnswer: g, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 20, -s - 5*k + 3 = -15. Which is the nearest to 1? (a) -0.7 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -303, 0.2, 5, -2, 16 in descending order.\nAnswer: 16, 5, 0.2, -0.2, -2, -3, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*w + 166*w**3 - 506*w - 517*w.\nAnswer: 166*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (0 + -39 - (2260 + -2269))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*y + 55, -4*y + 40 = 4*g - 20. Suppose -2*w + 4*w = 98. What is the remainder when w is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/40*-1*(-15)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 206.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 48, 133, 268, 459?\n\"Answer: t**3 + 16*t**2 - 14*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 15*n - 11*n - 34*n + 13*n**2 + 17*n - n**4 + 0*n**3 in the form a*n**2 + t + v*n**4 + z*n + d*n**3 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85) + sqrt(85))\/sqrt(5) + -1 + sqrt(272) + ((sqrt(187)*1*1 - sqrt(187)) + sqrt(187))\/(-4*(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: -1 + 31*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k - 25515 = 28*k. Let w be k\/(-18) + (1 - -10). Factor 29\/2*x**3 - 4 - w*x**2 + 1\/2*x**5 + 15*x - 9\/2*x**4.\nAnswer: (x - 4)*(x - 2)*(x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/c*c*c**0\/c*c*((((c*c*c**0)\/c)\/c)\/c)**(-1\/75) assuming c is positive.\nAnswer: c**(-299\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 + 9*x**2 - 3*x**5 + 6*x**5 + 3*x**5 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 + 22 = 0. Let h(s) = -s**3 - 8*s**2 - 11*s - 7. Let m be h(c). Suppose w - m + 8 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22752?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.11061 - -16.52826.\nAnswer: -1.58235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 375887 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872)*-2 + sqrt(1872)) - -2*sqrt(1872)*-1)\/(-5*(sqrt(44)\/sqrt(44) - sqrt(64)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) 466 (d) 0.8 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -583 + 2051. What are the prime factors of l?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5\/9 - 10*g**4\/3 - 65*g**3\/3 - 110*g**2\/9 + 112*g\/3 = 0.\nAnswer: -21, -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*d - 3. Let u be 2\/4 + 390\/12. What is the highest common factor of u and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34738 is divided by 8681?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -83. Let y(g) be the second derivative of g + g**2 + 0 + 1\/6*g**3. Determine y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 2*x + 3. Let m = -319 + 328. Calculate the smallest common multiple of m and q(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16)*(-1)\/(32 - 245457\/7668).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.68 + -10.22. Let t = s + 11. Which is the nearest to t? (a) 5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -4, -2\/31, -1\/2, 7.04, 5\/3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 2046. Let q(k) = -k**2. What is q(f(i))?\nAnswer: -i**2 - 4092*i - 4186116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.49188 millennia in months?\nAnswer: 581902.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-37)\/(-2))\/((-7)\/14). Is -38 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429*z - 1299*z - 2762 - 8862 = -964 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.706207l?\nAnswer: 6706.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:58 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 707 + -703. Solve -3*s = 3*z + 21, -a*s - 5 = 5*z + 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-1) - (-1 + -5 - 262)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let r be 3\/j*20\/255. Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, -5, 2, 5 in decreasing order.\nAnswer: 332, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-15 - (0 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 + o**2 - o - 2. Let r be y(-1). Let i be 165\/r*(-16)\/(-20). Find the third derivative of 7*w**4 - i*w**2 + 14*w**2 + 9*w**2 + 7*w**2 wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0221877 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*l - t, -l - 3*t + 40 = 4*l. Let z(q) = q**2 - 10*q + 23. Let x be z(l). Let d(s) = s**2 - 7*s + 8. Give d(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 3*x**4\/8 - 13*x**3\/6 - 5*x**2\/2 - 13*x. Let a(s) be the first derivative of q(s). Find the first derivative of a(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**6\/15 - p**4\/2 + 2*p**3\/3 + 5*p + 8. Factor n(f).\nAnswer: 2*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + ((sqrt(91) - (sqrt(91) + sqrt(91)*1 + sqrt(91))) + sqrt(91) + sqrt(91) - sqrt(91))*2 + sqrt(91))\/(sqrt(343) + sqrt(343)*1) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 31*z**3 - 1114*z**2 - 68*z - 5. Give b(36).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 737\/6 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26735 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + (sqrt(153) - sqrt(153)*-2))*6)\/sqrt(9))**2.\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 429 + -6. Let b = -427 + o. Put -11, b, 0.4, 2 in ascending order.\nAnswer: -11, b, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 5*x**3 - 2*x**2 + 3*x**2 + (1 - 1 - 2*x)*(-48*x**2 - 5772 + 5772) - 4*x**3 + 3*x**3 + 3*x + 2*x**3.\nAnswer: 94*x**3 + x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*r - 89 + 3, -5*r + u + 111 = 0. Calculate the remainder when 1740\/(-45)*54\/(-24) is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24*(-6)\/(-27))\/(27\/5292*21)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1700) + -2 - (-4 + (sqrt(1700) - ((sqrt(1700)*-1 + sqrt(1700))**2 - sqrt(1700)))) - ((-6*sqrt(17))**2 + 5 + sqrt(170)\/sqrt(490)).\nAnswer: -611 - 71*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*-2*14\/((-140)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.775 + 6.8. Let l = 0.475 + m. What is the closest to 0 in -3, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((16 - -6) + -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7082460 and 17640.\nAnswer: 14164920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let q(d) = d - 1. Let c(w) = -1 + 18*w - 5 - 3. Let n = -16 - -7. Let k(a) = n*q(a) + c(a). Calculate b(k(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 44*k**2 - 33*k + 108. Give b(-21).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 73. Let f be y(6). Solve f*j - 18 = 13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 5 (b) 2\/17 (c) 4 (d) -2\/5 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 13 = -7*a + 157. Let l(t) = -2*t - 1. Let n be l(-1). Let w be ((-30)\/24)\/((n + -2)\/a). Which is bigger: w or -16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {n: 3, w: 4, g: 2, d: 2, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 2298987 + 2136802 - 740840 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - -bb5?\nAnswer: b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 9\/4 (c) 17\/46 (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 78. Suppose -4*w - 13648 = -3*s, -y*s + w = 6*w - 18218. Suppose -5*o - 1807 = -2*v, 5*v + o - 2*o - s = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(567) + (sqrt(84)\/(sqrt(1200) + sqrt(12) - sqrt(12)) - sqrt(7))).\nAnswer: 243*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*k**2 - 151*k**2 - 80*k**2 - 61*k**2.\nAnswer: -155*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 43. Calculate s(32).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 - 18*l + 4. Let s be i(-9). Suppose 344 = 4*q + 3*o, -25 = 5*q + s*o - 456. Is 29 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315063\/2 <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + ((-4*sqrt(78) - sqrt(78)) + sqrt(78))\/sqrt(6))**2 + 3)*3.\nAnswer: 3*sqrt(13) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-7)\/42 - (-17)\/(-6)). Let r(j) = -j**2 + 2*j. Let v be r(q). Suppose s = 2*h + 3, 5*s - 2*h + h + 3 = v. Which is greater: s or -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3471 is divided by 3425?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 17 - 10 - 13*s - 16*s to the form b*s + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, i: 1, v: 7, k: 8}. What is prob of sequence ek?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0477 * -146125\nAnswer: 6970.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(200)\/sqrt(4) - (-2 + sqrt(32) + -4*sqrt(32) + sqrt(32) + sqrt(2)))**2.\nAnswer: 144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.041742 and -4142207.\nAnswer: -4142207.041742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g - 5*g**2 - 6*g + (0 + g + 0)*(-g + 2*g + 0*g) + (5*g - 30*g + 12*g)*(-3*g + 4 - 4) to the form c + v*g**2 + w*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**2 + 2*c + 1. Let a be n(-1). Suppose 0 = -j - 2*q + a, -3*q = j - 5*q - 1. Solve 9 - 4 = -j*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 19776*o**2 + 4*o - 15. Give h(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, o: 3}. Give prob of picking 3 b.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20020 + 110110112?\nAnswer: 110200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 2 - (-7 - 48569)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 156\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 1\/2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*d - 1778, -8*c - 4*d = -5*c - 1069. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 14 (c) -2\/23 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x + 8*x - 15 + 58*x + (2*x + 5*x + 2*x)*(-1 + 1 - 1).\nAnswer: 42*x - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*l - 3*h, 0 = 3*l - 783*h + 780*h + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -39*u**3 - 2*u**2 - 3*u - 2. Let n be x(-1). Suppose 0 = -3*b - 5 + n. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 40\/6*165 + -1.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6501 - 1781233\/274. Find the common denominator of -85\/16 and a.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b - 23. Let z be o(7). Suppose 10*l - 320 - 650 = 0. Is z bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 646740 (base 9) to base 7\nAnswer: 3163644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + n)*(-2183*n + 385*n + 873*n - 2513*n).\nAnswer: 6876*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4079 is divided by 245?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12315714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(1872) + 5 - sqrt(1872))**2 + ((sqrt(143) - -2*sqrt(143))*-3 - sqrt(143))\/((sqrt(99) - (sqrt(99) + sqrt(99)*-1))\/sqrt(9)) + -3.\nAnswer: -503 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100551 (base 6) in base 9?\nAnswer: 163854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51654903 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6552 divided by -24?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8113642 by 52.\nAnswer: -4056821\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(2057))**2.\nAnswer: 22*sqrt(17) + 2059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(15\/6))\/((-4)\/(-11)*-22)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -16 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8430000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 811*k**3*y - k**3 + 8656*k**2*y - 2*k**2 - 4057*k*y + 968*k + 2 wrt k.\nAnswer: 4866*k*y - 6*k + 17312*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/99)\/(5\/45).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140430234 (base 5) in base 2?\nAnswer: 10101111001100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose -c*x + 0*x + 40 = 0. Solve 5*y + x = -0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.01 + -11.6. Let j = 1.09 + x. Sort j, 5, -2, -1\/3 in increasing order.\nAnswer: -2, -1\/3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h + 6. Let y = -23 + 29. Calculate i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1018 + 0.092. Round l to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 + 13. Suppose -v = 4*v - i. What is the remainder when 51 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -595.961 - 10.849. Let m = d + 604. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/103140 and 101\/450.\nAnswer: 515700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-21)\/(-3) - 2). Let i = t - -9. Suppose -5*s + i*s = -45. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 10\/11, -16, 2\/9, -4\/9 in ascending order.\nAnswer: -16, -4\/9, -2\/9, 2\/9, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u - 1. Let n(l) = -l + 3. Let f(i) = 3*n(i) - t(i). Let r be f(5). Solve -5*q = 4*q - r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.03 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 5*l - 3*l**2 + 3*l + 0*l. Let a be z(3). Is (-267)\/a + 4\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 9}. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -23*s**2 - 29*s + 58. Give c(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i - 2*i, 44 = 2*t - 2*i. Suppose -5*b - t = -2*a, 2*b - 4*a = a + 3. Let z be -3*(-4)\/3 + b. Let m(x) = -5*x**2 - x + 2. Give m(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y + 41 = 5*q, -2*q + 100 = 5*y. Suppose y*o = 28*o + 300. Let z = 54 + o. Solve 0 = -n + 3*n - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4064 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 9304*m**2 + 9310*m + 18612.\nAnswer: -2*(m - 2)*(m + 1)*(m + 4653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r**(1\/5)*r))\/r)\/(r*r**(3\/5)*r))**19 assuming r is positive.\nAnswer: r**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 22, -3\/2, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - q = 4*n - 252, 0 = -n + 3*q + 74. Suppose 5*k - 47 = -3*j + n, 4*j + 20 = 0. Calculate the remainder when -1*2 - (-234)\/2 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -11 + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-216)\/90)\/(-12))\/(4\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (9 + 2 + -26) - -10) + 73.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93544204499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (2 - (0 + -1)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*r - 417*r - 9228 = 107*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(475) + (sqrt(475) + -1*sqrt(475) - sqrt(475))**2*3 + 4 + (4*4*sqrt(475) + sqrt(475)*-2 + 0)**2.\nAnswer: 5*sqrt(19) + 94531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 equal to -208\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/(4*14\/6944).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*f**3 - c*f**2 - 371*c*f - 168633*c + 76654*f**3 - 131*f**2 wrt f?\nAnswer: 12*c*f - 2*c + 459924*f - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4028084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 80. Let z(f) be the first derivative of f**4\/4 + 7*f**3\/3 + 4*f + 2. Let t be z(-6). Calculate the highest common factor of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13720931?\nAnswer: 7, 107, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 2 + 23 + (52 - 47)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3\/7))**31)**18)**(-1\/59) assuming g is positive.\nAnswer: g**(1674\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 7 - -9 - (-8 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*r**3 - 99*r**3 - 5 + 43 - 18*r**4 wrt r?\nAnswer: -72*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 - 2426*y**4\/3 + 60411*y**3 - 2387852*y**2\/3 + 2731008*y + 4129024\/3 = 0.\nAnswer: -4\/9, 8, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 42701.1 to the nearest one hundred.\nAnswer: 42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 52*p - 47. Is q(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20429391 + -0.104.\nAnswer: 20429390.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311*x - 351*x + 576*x)*(-3*x**4 + 6*x**4 - 5*x**4)*(0 - 3 - 2).\nAnswer: -860*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240332, 480664, 720996?\nAnswer: 961328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 - 7*c**5\/60 - c**4\/8 - 2*c**3\/3 - 5*c**2. Let t be q(7). Let b = 35 + t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 401 = -5*v, 0*f - 268 = -2*f + 4*v. Suppose 0*h = h - f. Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*p + 115 = 9*j, -5*p + 47 = 4*j. What is the highest common divisor of j and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74731703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - n = 12*c, c = 5*c + n + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12132*t = -418*t + 2207*t + 1117652 - 2955224 for t.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/11247270 or -1?\nAnswer: -1\/11247270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-206)\/4)\/((-1)\/(-2)). Suppose 3*c = 2*b - 230, -4*b = c + j - 559. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/53? (a) -2 (b) -3\/4 (c) 2\/5 (d) 0.04 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 171302 divided by -5\nAnswer: -171302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -577*i. Let s(x) = 3*x + 71. What is d(s(v))?\nAnswer: -1731*v - 40967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 10. Let d be (f + 2)*2\/(-4). Let m = 4 - d. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 289872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*y - 3*q, 2*q - 2 = -0*q. Suppose -2*b - 12 = -5*z, 15 + 5 = 5*b. Suppose 20 + y = z*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 1874?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + 23?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -86, -187, -290, -395?\n\"Answer: -b**2 - 98*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1025\/7077 - -2\/1011. Sort 2, c, 4, -7\/27 in ascending order.\nAnswer: -7\/27, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2400, -2406, -2426, -2466, -2532, -2630, -2766, -2946?\nAnswer: -3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 15*h - 7. Let z be x(5). Let w = z + 57. Let k = -17.35 + 0.35. What is the third smallest value in 0.1, w, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 4*v + 17, 141 - 155 = 2*t + 4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 1096 + 1099 - 2016 + (-4*l + l + 6*l)*(-2 + 3 - 2) to the form k*l + x and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a + -16279?\nAnswer: -16618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 1. Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7131 - 3561 + 26*l - 3570. Let v(t) = -17*t**2. Calculate v(b(y)).\nAnswer: -11492*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + 0*a - 4*a)*((3*a - 3*a + 2*a)*(2*a + 0 + 0) - 3 + 3 + 3*a**2 + (7*a - 45 + 45)*(12*a + 34 - 34)) as b*a + f*a**3 + k*a**2 + w and give f.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28176, -28176, -28174, -28170?\nAnswer: -28164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3 + 4 + 1 - 5 + 14*q**2. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = 0, 2*v = 4*m - 11 - 27. Let x be (-5)\/12 + ((-22)\/(-8))\/v. Which is the nearest to x? (a) -5 (b) 1\/10 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 7*l**2 - 12*l - 8. Let t be v(-8). Let h = t - 10. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 - -5) + -4 + 1 + 4. Let r = -17 - f. Let y(j) = -j**3 + 3*j**2 - j + 1. Let o be y(3). Sort 2, r, o in descending order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -8, -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 1186255 = -1187438. Suppose -2*c - 1 = -27. Calculate the greatest common divisor of c and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2189717*c**3*s + c**3 + 5*c**2*s - 3*c**2 - 2*c*s - 2*c - 939*s wrt c?\nAnswer: -13138302*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41357974.\nAnswer: 2, 7, 17, 173773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*2\/(-4)*-2. Let l be (-1 - g)*(-56)\/(-148). Let f = l - -2313\/148. Calculate the common denominator of -47\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/10)\/(9\/1356). Let t = -151 + o. Let m(k) = 2*k + 5. Let h be m(5). Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.248 - -0.052. Let z = -5.2999938 + o. Round z to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 3*w + 144. Let v be j(0). Let q = 149 - v. Solve 0 = -q*h + 4*s - 9, -4*h + 3*s = 8*s + 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204734545?\nAnswer: 5, 7, 139, 247633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2613744 or -10454971\/4?\nAnswer: -2613744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2. Let m(g) = 41*g**2 - g. What is 2*m(c) - 11*v(c)?\nAnswer: -6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 3 + -3)\/(-1). What is the third biggest value in d, 2\/5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1496, 1623, 1750, 1877, 2004?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 - o**5\/30 + 5*o**4\/24 + o**3\/6 + o**2 - 1. Determine s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6450 = 74*d - 4452 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 + 80*o - 3. Let c be q(-9). Solve 0 = c*k - 4 + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 67*p**2 - 25*p + 1828. Determine z(67).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/13? (a) 2 (b) -1\/62 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145475 and 7060?\nAnswer: 205410700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 2*a - 3*r, -r + 2*r = 3*a - 434. Let z = -144 + a. Solve 2*f - 23 = -4*b - z, b = 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = 11*z - 9*z - 475 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 58*p + 567. What is f(-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 - 185. Solve -3*t - h*k - 37 = 0, 5*t + 41 = t - 5*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.1, -0.2, 9, -1.483, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2648, -2647, -2646?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f + 448. Is x(-37) a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n**(-1\/3))\/n)\/n))**(-41)\/((((n*(n\/(n*(((n*n**4)\/n)\/n)\/n*n)*n)\/n)\/n)\/n*n)\/(n\/n**6)) assuming n is positive.\nAnswer: n**(-293\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 times 0.0891243?\nAnswer: 16.1314983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, -1\/3, 0, -2, -11 in descending order.\nAnswer: 25, 0, -1\/3, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*((m\/((m**5*m)\/m))\/m)\/m)*m*m*m)\/m)*m\/(m*m\/m**5))\/(m*m*m*m**(-2\/13))**(-43) assuming m is positive.\nAnswer: m**(1552\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1663 - 1663.1. Sort 716, 5, q.\nAnswer: q, 5, 716","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 divided by -6?\nAnswer: 407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f + 50. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 - 191589*t**3 - 4*t**2 - 11946*t?\nAnswer: 72*t - 1149534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7)\/x**(-1\/5))\/((x*x\/(x**(-3\/5)*x))\/x*x*x**(-1)\/x) assuming x is positive.\nAnswer: x**(-9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.1. Let a = y + 0.8. Let l = 0.05 - 0.15. Sort l, -2\/17, a in ascending order.\nAnswer: -2\/17, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 18*j**2 + 38*j - 64. Let y be c(-20). What is the units digit of ((-2424)\/y)\/(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-125))\/((-1)\/10)*-20. Suppose -5*z + 6*z - a = 2*t, 4*t = -20. Suppose -z = -f - f. Solve f*s = -u + 10, 0 = 3*s + 2 - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -271, -465, -667, -877, -1095, -1321, -1555?\n\"Answer: -4*t**2 - 182*t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75801895 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*r = -2*m + 179, 3*m + 3*r = -273. Let g = 89 + m. Calculate the remainder when 34 is divided by (g - 0) + 0 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14061767 (base 9) to base 13.\nAnswer: -1594207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781739 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.9571 litres in millilitres?\nAnswer: 305957.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -12.9665.\nAnswer: 25.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291134, -291120, -291106, -291092, -291078?\nAnswer: -291064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = q - 4 + 7, -11 = -3*q + k. Suppose -1 = -3*b - q*l + 22, 0 = -b - l + 9. Suppose 4*c - 106 - b = -3*a, -2*c - 2*a = -56. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-192525)\/35 - 8 - 2\/7. Let m = k - -77095\/14. What is the common denominator of m and 806\/280 - (-3)\/(-1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from wpdpodooodd?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6073\/5275 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x**7\/x)\/x)\/x)**(-22))**(-39))**30)**(7\/5) assuming x is positive.\nAnswer: x**144144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*a, w - 5*w + 3*a = 7. Let o = -6\/5 + 364\/295. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 27*f - 232. Calculate the remainder when 395 is divided by a(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 0*q - 15*q**3 - 18*q**3. Let y(a) = 2*a + 1. Let p be y(-1). Does 16 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -31. Let l(i) = 4*i**2 + 1 - 3*i**2 + 3*i**2 - 5*i**2. Let m(c) = -20*c**2 + 18. Let p(r) = z*l(r) - 2*m(r). Let x(t) = -2*t. Determine p(x(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14122*r**3 - 4*r**2 + 22*r - 37. Is i(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - a. Suppose -2*k + 19 = -k. Suppose -157 + 137 = n. Let x = n + k. What is d(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w - 4*w - 3*w - 3*w + 0*w + w + (3 - 2*w - 3)*(1 - 1 - 2) in the form j + v*w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305305 and 343369?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63881490923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1346 - -1374. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-14) + (-81280)\/(-896). Solve -104*m + l*m + 24 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.9 + -12.4. What is the nearest to 1\/4 in 5\/3, 5, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 19*r**7\/42 + 9*r**3\/2 + 35*r. What is the second derivative of x(v) wrt v?\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 + 4. Let q be y(0). Let j be ((-249)\/12)\/((-1)\/q). Is -3 + (j + -4 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 13*t - 13*t = -966 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:09 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 74*t - 373. Give h(-5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 16*w + o + 2, -6 = -3*o. Let n(v) be the first derivative of 7\/2*v**w + 5*v + 2. What is the first derivative of n(s) wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001332667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 29 - 33 = 0. What is the first derivative of 85*w**g - 54 + 2*w**3 - 31*w**4 - 168*w**4 wrt w?\nAnswer: -456*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 5*t**2 - t + 5. Suppose 2*h - 8 = -n, -5*n = 3*h - 0*n - 26. Suppose -i = -h*z + 5, -2*i - 3*z - 1 = 9. What is o(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (192\/(-160))\/(4\/(-10)). Solve 4*i = -u*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297198 is divided by 297183.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 305827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31895 (base 15) to base 13.\nAnswer: 56717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12038\/1768*-16 + (-58)\/986\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + w = 1, 0 = r + w + 2*w - 11. Let d be 11\/((-33)\/(-60)) - r. Let l = 7 + -4. Solve -2*t - u = l*t - 16, 2*t - d = 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58096552 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 - 2*c**5 + c**5 + (20*c**4 - 69*c + 69*c)*(-5*c + 5*c - 2*c).\nAnswer: -41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 10*z - 4. Let x be v(9). Sort x, 0, 1.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/3 - 24283556*f**2\/3 - 147422773001284*f\/3 = 0. Calculate f.\nAnswer: -12141778, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 + 6. Let s be m(5). Let o be 122\/5 + 8\/(-20). Suppose -2*h = -2*r - 32, 2*h - r - s - o = 0. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.72331 meters to nanometers.\nAnswer: 18723310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004528 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - -17 - (-9 - (-4 + -1)) - 62).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**3\/6 + 11*g**2\/2 + 12*g. Let c be u(7). Let x = -0.1 - 0. What is the closest to 0.1 in c, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {u: 2, y: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 229*c + 1377. Let y be q(-6). Solve -2*p - 18 = -5*z, y*p - 5*z + 13 = -z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.129 >= 3\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 - -66. Calculate the common denominator of 121\/20 and (t - (-4 + 3))*(-12)\/480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18 and -4.8532671524844.\nAnswer: -22.8532671524844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -36*s + 2014. Give p(55).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*y + y = 165991, g - 41500 = -y. Suppose m + 92842 + 31657 = 3*x, -m - g = -x. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2757 + -2853 + (182 - -2).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 43*z = -12*z - 96 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 417 (b) -1 (c) 3 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 808 + 1278?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 93 + (3 - 0*(-3)\/9). Let x = b + -93. Suppose z - x*c - 49 = -4*z, -2*z = 2*c - 10. What is the smallest common multiple of z and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83570.\nAnswer: 2, 5, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (658*n - 56*n - 81*n + 2)*(4 + 3*n - 4).\nAnswer: 1563*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let v(x) = x**2 - 3*x + 6. Let c be v(4). Let f = c - 9. Solve 0 = -o*q - d - f, 7*d = 2*d - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25293 = k - 3*t, -5*t + 127941 = 4*k + 26633. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*r**2 + 44*r**2 - 141*r**2 as z + x*r**2 + s*r and give x.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-21141)*-18*-3.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -80*a - 1. Calculate the remainder when n(-1) is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -465, -1084, -1951, -3066, -4429?\nAnswer: -6040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 324.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4068 or -4067?\nAnswer: -4068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 - f**5\/12 - 5*f**4\/24 + f**3\/2 - 8*f**2 + f. Give t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 319\/8 - 159\/4. Let m = 3 + -6. Suppose 0 = -h - 17 + 28. Sort a, m, h.\nAnswer: m, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/37265 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - r + 3 + 2 = 0, 5*r = 5. Solve m = -v - 6, 11 = -0*v - v - y*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = z + 102, 0 = 3*k - 2*z - 307. Solve -k = 8*m - 143 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 2. Let u = 56 + -28. Suppose -b*m + 6*m = u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.03 + 6. Let o = 0.04 - v. Let z = 0.57 - o. Which is the closest to -0.1? (a) z (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10246*q - 10234*q + 120 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57745*a**6 + 30*a**2 + 2182*a.\nAnswer: -6929400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37656 + 1694452\/45. Calculate the common denominator of o and -16\/7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 141556 (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 0)\/(-12*(-22)\/264)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4600 by -1150.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2022 times -134\nAnswer: 27.0948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 6. Let r(g) = -5*g - 123. Let p be r(-24). Let y be (-14)\/77 + p + 180\/22. Solve -t - 1 = y*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = -7. Let d(o) = -5*o**2 + 0*o - 5*o + o**2 - o**3 - 2. What is the units digit of d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 56\/16*(-40)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {n: 1, p: 6, q: 3, x: 3}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11374 + 2*r**2 + 34313 - 11473 - 11466.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(6570\/315)\/(-73).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 + 3*x\/2 - 9\/2.\nAnswer: 3*(x - 2)*(x + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -59 - 21. Suppose 0 = -s*v - 102 + 252. Solve t = -2*u + 8, -3*u + v = 5*t + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 - w**4\/8 + w**3\/6 + 284*w**2. Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854 by 131135.\nAnswer: 854\/131135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/11)*r**(-2\/29)\/r*r**(-3)\/((r**(-6)*r*r)\/r))**(-42))**(-2\/7) assuming r is positive.\nAnswer: r**(2868\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q**3 + 21*q**3 - 6 + 21*q**3 - 65*q**3 + 3*q to the form i*q + y*q**3 + o*q**2 + n and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -21552.702.\nAnswer: -1508.68914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16375\/(-6550))\/(-1*2\/68).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Suppose -j - 88 = 5*x - 268, 5*x + 2*j - 185 = 0. Calculate the remainder when x is divided by 124\/7 + z\/(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 545?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2 + 2 + 1). Let s be -1 - x*31*-1. Suppose 5*z = -c + s, 5*z - 10 = c + 2*z. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:27 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 27*v**2 + 57*v + 30. Let t be p(29). Let m be (9\/(-2))\/((-1)\/(-2)). Suppose 5*q - 19 = 6. Sort t, m, q in increasing order.\nAnswer: m, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, 16, 23, -1 in descending order.\nAnswer: 23, 16, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 6*t + 7. Let o be u(5). Let g = -12 + o. Solve g*k = 4*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(15\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from egg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0 + 0*j**3 - j**2 + 1\/12*j**4 + 0*j + 1\/60*j**5. Solve t(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/13 (b) -2\/5 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-5 - 12 - -55) + (11 - -3))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 216*z\/5 + 213\/5.\nAnswer: 3*(z - 71)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o, 5*r = -o + 120. Calculate the remainder when 49 is divided by (-1)\/(-1) - r\/(1 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*s - 420 = 484*s. Solve -2*q + 2*x = -s, 0 = -2*q - x - 12 + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4751 - 4751. Solve l - 59 + 60 = j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 3. Let y(q) = -q**2 - 4*q + 4. Let o be y(-5). Let s be x(o). Solve -8*h + 3 = -s*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 23*z = -84 + 490 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7121785, 7121784, 7121783, 7121782?\n\"Answer: -w + 7121786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 87 = -2*j, 3*q - 3*j - 91 = -4. Let y = -15 + q. Suppose 5*d - y = 11. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-14) + (-4)\/(-8). Let w = 57.94 + -58. Which is the nearest to i? (a) 4 (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 8*f**2 + f + 1. Determine b(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224*x**2 - 2*x - 40?\nAnswer: 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Suppose 5*b - 236 - 44 = u. Suppose -b = v - 3*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2512 + -2511.6. Which is the nearest to 1? (a) 856 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 6\/7763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 - -2?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(4032) - (-2 + 5 + sqrt(4032)) - sqrt(4032) - -2*sqrt(4032)*1))**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)\/(4 + -2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2308*a**2 + 114*a**4 + 512*a**3 - 3*a - 510*a**3 + 2306*a**2 - 2 - 33*a**4 as h*a**4 + r*a + u*a**3 + s + y*a**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from rlnnqqrrnrrnrqn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m, -2*u + 60 = 5*m + 92 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 3:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -25)*2\/56 - 22\/(-77).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Suppose -5*s - 4 = 26. Let b be (-21)\/27 - s\/(-27). Are b and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 29*w - 1482. Let z(i) = 90*i - 3. Let k be z(7). Calculate the greatest common factor of w and k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 6)\/2 - -31. Suppose q = o - 2*q - c, 5*o + 3*q = 170. Suppose -2*n + o = -90. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19783308 divided by 68\nAnswer: -290931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-725)\/522*(-4)\/5. Determine j so that 0 + 2\/3*j - k*j**2 + 2\/9*j**4 + 2\/9*j**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 4*a**2 - 4*a - 3. Let w be v(-2). Suppose y - 2*y = -w. Let j(r) = 2*r**2 + r + 7. Is j(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1 - 4*h + 12 + 1 + 3*h. Let n be x(10). Solve 2*t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-1*(-2)\/2). Let o = 154 - d. Suppose 5*c - 5*t = 600, o = c - 2*t + 3*t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/((-8)\/(-224)*-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -4*z**2 - 1\/30*z**5 + 0*z**3 + 0*z + 1\/6*z**4 + 0. Factor c(h).\nAnswer: -2*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*(-10)\/15 + (-182)\/(-564)?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10988, -2, -5, -3, 16 in descending order.\nAnswer: 16, 5, -2, -3, -5, -10988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 414 - 594 = 0. What is the remainder when 274 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(2\/108). Suppose 66 = -7*s - 4*s. Let n be (-47)\/(-9) - s\/i. What is the biggest value in 1, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 3, y: 5, u: 6, f: 1}. Give prob of sequence yu.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36896487 times 1?\nAnswer: 36896487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 - 3*m**2 - 8*m + 13. Let s(v) = 7*v**3 - 2*v**2 - 9*v + 14. Let i(k) = 5*s(k) - 6*u(k). Let h be i(8). Solve h + 8 = -8*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/2 - r**2\/2 - r. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 98 = -9*v. Calculate the remainder when 23 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m + 10. Give i(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 233, 374, 431, 404, 293, 98, -181?\n\"Answer: -42*j**2 + 267*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-3 - -2)\/1. Suppose 3*s = s. Let m be -3 - (-3 - -2) - -4. Which is the nearest to m? (a) q (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*t = -25, 605*t = 2*i + 600*t + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c - 6. Suppose -7*t - 9 - 33 = 0. Let l(k) = -155*k + 85. Determine t*l(m) - 85*r(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, -7, 2.\nAnswer: -7, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -282946, -565890, -848836, -1131784, -1414734?\n\"Answer: -u**2 - 282941*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5*u**2 + 94511*c**2*u**2 - 20*c*u**2 + 414*c*u + 2*u**2 - 2 wrt c?\nAnswer: 40*c**3*u**2 + 189022*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7156 divided by -1835.\nAnswer: -7156\/1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l. Suppose l = -3*g + 2*g + 11. Solve -3*i - g = 2*o, -3*o - 3*i + 2*i = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*u**3 + 25*u**3 + 21*u**3 + (u - u - u)*(-u**2 - 3 + 3) + u**3 - 10*u**3 + 14*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2322807729.\nAnswer: 13936846374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -15. Suppose -4*i = -26 + a. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -23. Let d = -54 + o. Let t(s) = s**2 + 3*s - 17. Let j be t(d). Solve 0 = -2*u - j - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*(-10 - -12). Suppose 3*i = 3*s - s + 133, -5*s = -y*i + 107. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o - 13. Let n(l) = -5*l + 7. Let a(u) = 9*n(u) + 4*v(u). Suppose -y = -0*y - 8. What is the smallest common multiple of a(y) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4978)\/(-10) - (-4)\/5*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000892796 rounded to 7 decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + -2 + (-14 - -14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 2)*(-26)\/(-39). Suppose t*a - 3 - 1 = 0. Let h be a\/7*5 + -1. What is the fourth smallest value in h, -1, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-96))\/(160\/(-128))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14 + (-20 - 2790\/(-126)))*(-16)\/(-5120).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17225273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 744*f - 49606. What is t(87)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4657885.\nAnswer: 1397365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69322, 69359, 69458, 69649, 69962, 70427, 71074, 71933?\n\"Answer: 5*p**3 + p**2 - p + 69317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*z = 83*z + 856735. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 20 + 74)*(2*w**3 + 0*w**3 + 0*w**3) + 203*w**2 - 22090 + 22090 + 2*w - w**3 to the form r*w + o*w**3 + f*w**2 + l and give f.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58996, -116797, -174598, -232399, -290200, -348001?\nAnswer: -405802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -86*k**2. Let v(h) = 605762*h - 605762*h + 3*h**2. What is z(v(t))?\nAnswer: -774*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 328 = -4*x, -x - 9*d + 4*d = -98. What is the second derivative of 15*j - 48*j + 15*j - 51*j + x*j**3 wrt j?\nAnswer: 468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2*f - 14, 0 = -5*q + 346*f - 348*f - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 18 - 3 - v - 10*v + 27*v**3. Let j(x) = 7*x**3 - 4*x + 4. Determine -15*j(a) + 4*n(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*r + 10 + 27 = 0, 4*r - 80 = -4*v. Solve 44*y = 47*y + v for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 55.212, 5\/2 in descending order.\nAnswer: 55.212, 5\/2, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*z - 24, 474*g + 2*z - 12 = 476*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27598860.47 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.33, 2, 0.116, 195?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -763874083 - -3487.\nAnswer: -763870596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13914 + -13911. Solve -4*r + 2*c + 4 = -i*r, -5*r - 3*c = 45 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21233001 - -13320?\nAnswer: -21213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + a - 5 = 0, -3*a - 2*a + 25 = 3*i. Suppose 2*y + 5*r - 4 = 94, -2*r + 8 = i. What is the greatest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69148*v**3 + 28740?\nAnswer: -207444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 11, -142, -2 in ascending order.\nAnswer: -142, -2, 11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -61\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (2 + -6 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/4 + (-1)\/((-8)\/(-6)). Suppose -2*n - w - 10 = 3*w, 5*n + 2*w - y = 0. Let q be 4*4\/32*0. Solve q = -4*x - 3*p - 29, -n*x - 21 - 9 = 5*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - (-4 - 0)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {k: 2, b: 1, d: 5, x: 5, z: 1, n: 2}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 545 + -512. Sort a, 3, -9 in descending order.\nAnswer: a, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**2 - t**2 + 2*t)*(-10*t**3 - 17*t**3 - 2*t**3).\nAnswer: -58*t**5 - 58*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/2 - 13254*y - 29278086 = 0?\nAnswer: -4418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-24)\/10*(29 - 24). Let p = m + 27. Let g be (-1 - (-18)\/(-4))*-6. What is the highest common divisor of g and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:07 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -2. Let u(j) = 12*j - 4. Let w be u(6). Let p = 149 - w. What is the greatest common divisor of p and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6*u + 90. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 29. Suppose -5*r + 2*r + x = 0. Suppose r + 2 = n. Solve 0*i + 2*i - 15 = n*d, -4*i + 18 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 4*g**2 - 2 + 2. Let f(n) = n**2 - 5*n**2 + 2*n**2. Give b(f(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v*(v**(2\/31)\/v)\/v*v))\/v**(-30) assuming v is positive.\nAnswer: v**(897\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13\/5, -1134, -5, -93, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 6*v - 6. Let j(p) = 3*p**2 + 5*p - 5. Let h(t) = 3*t - 10. Let i be h(4). Let u = i + -7. What is u*y(c) + 6*j(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from qqrqrrrqrr.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y - 33860 = -33831 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + 22\/6. Let s = -2723 + 2727. Suppose s*d - 83 = -5*f, -2*f + j*f = d + 22. Calculate the greatest common factor of 133 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 560.406.\nAnswer: 582.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26450 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -17*t - 75 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395630 is divided by 11303.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1110110011110100101 (base 2) to base 5\nAnswer: -111012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d + 48. What is the units digit of 51 + d\/(-3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -118, -123, -130?\n\"Answer: -k**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 25)*(364\/(-156))\/(8\/(-6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 317554545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428658*x**6 + 88*x**5 + 17988812*x**2 wrt x.\nAnswer: 51438960*x**3 + 5280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/1941 + 3895\/25233. Which is the smallest value? (a) h (b) 0.14 (c) -5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(8*l**2 + 2*l - 2*l) + (-2*l**2 + 5*l**2 - 2*l**2)*(0 + 1 - 2) + l**2 - 3*l**2 + l**2 as j + w*l + a*l**2 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -22) + -114 + -140 + 254.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 763, 1979, 4095, 7561, 12827, 20343?\nAnswer: 30559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*g + 15*g**3 - 109*g)*(-7*g - 2 - 4 + 9*g).\nAnswer: 30*g**4 - 90*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8894, -35567, -80020, -142253, -222266?\n\"Answer: -8890*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 (base 15) in base 6?\nAnswer: 32552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1364.200008288 - -1364.2. What is n rounded to 7 decimal places?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 + 7*t**4\/12 - 4*t**3\/3 + t**2 + 96*t. Let y be s(-8). Let b(v) = -3*v + 1. What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -677 - -1192. Let u = g + -515. Which is the fourth smallest value? (a) 4\/5 (b) -1\/24 (c) u (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110421714 to four dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106.92 - -0.4?\nAnswer: -1106.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(sqrt(65) + 2*sqrt(65) + sqrt(65)) - -2*2*sqrt(65)))\/(sqrt(5)*5*6*-6*-3).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 126364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218106 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, -0.24, -4298?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2789455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -945, -773, -495, -117, 355, 915, 1557?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 11. Let g = -2\/91 + -5\/91. Is g at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 0, 5, -5, 43, 59 in decreasing order.\nAnswer: 59, 43, 5, 0, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1 - 3*j)*(j**3 - 8*j**3 + 2*j**3) - 5*j**4 + 41*j**2 - 41*j**2 to the form y*j + r*j**4 + k*j**2 + q + p*j**3 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.9 * 0.2.\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 53 = -7*r, -948 + 992 = 5*r + 4*p for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, h: 1, x: 1, m: 2, o: 1, k: 3}. What is prob of sequence hok?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + 26 + -21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -26\/79, -24, -0.014, -2\/5, -0.1?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -5, 10, -19, 20, -2 in decreasing order.\nAnswer: 20, 10, -2, -5, -19, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -239, -659, -1245, -1997?\nAnswer: -2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - 6*p. Let x(g) = g**2 - g. Suppose o + 3*o = -24. Let v(f) = o*x(f) + j(f). Let c(s) = -3*s**2. What is c(v(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641736 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1553, 1556, 1571, 1604, 1661?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.29 (b) 0.1 (c) -2 (d) 2 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**2 - 6*f - 6. Let l(q) be the second derivative of q**4\/12 + q**3\/6 + q**2\/2 - 64*q - 1. Suppose -4 = -5*h - 34. Determine h*l(v) - g(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71222309963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 15*l**2 + 2*l + 17. Let v be k(15). Suppose 4*s + 55 = v. Sort 2, -5, s in increasing order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44279*v**2 - 40152*v wrt v.\nAnswer: -88558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -235824, -235813, -235768, -235689, -235576?\n\"Answer: 17*x**2 - 40*x - 235801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437364213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -250*h**4\/13 - 11728900*h**3 + 182971080*h**2\/13 - 73188464*h\/13 + 9758464\/13 = 0. Calculate h.\nAnswer: -609904, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2389.29 - -2341. Let c = 48 + d. Round c to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 2*w - 571 = -552, -2*j = 2*w + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -155. Let l = 24423236.9999991 + -24423241. Let o = c + l. What is o rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + 8 + -1 + -6 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68251756 a multiple of 2037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*i - 91*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7527\/(-1930)*(-15)\/65*35*2\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x + 2. Let o = 4095 - 4069. What is the smallest common multiple of j(-3) and o?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19254, -21252, -23260, -25284, -27330, -29404?\nAnswer: -31512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5130605.\nAnswer: 25653025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*i - 13*i. Find the second derivative of 14 + 4*j**4 - 34764*j**2 - 2*j + 34764*j**i - 7*j**3 wrt j.\nAnswer: 48*j**2 - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2320*k**4*s - 50*k**3*s**3 + 5*k**3 + 38450*k**2*s**3 + k**2*s wrt k.\nAnswer: 55680*k*s - 300*s**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57241 + -132550?\nAnswer: -212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/15 + 1\/5. Let d = -14 + 12. Which is the nearest to o? (a) 1 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 1401.\nAnswer: -16\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*o + 140853, 0 = 44*t - 41*t - 2*o - 422601. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/20*w**5 - 1\/160*w**6 + 0*w**3 - 1\/280*w**7 - 16*w**2 + 1\/8*w**4 + 0*w + 0. Factor s(a).\nAnswer: -3*a*(a - 2)*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3209.\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y**3 + 19*y**2 + y + 16. Calculate f(-3).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4))**(-1\/34)*(v**2\/v)\/v**(2\/3))**(5\/4) assuming v is positive.\nAnswer: v**(115\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 452, 1064, 1912, 2990, 4292, 5812, 7544?\nAnswer: 9482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 9. Let c(r) = -19*r**3 - 2*r**2 + 3*r + 1. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25742 and 25742.\nAnswer: 25742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2949, -5919, -8889, -11859?\n\"Answer: -2970*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 14*r = 21663. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {j: 1, q: 1, m: 2, c: 8, h: 2, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -17677\/18032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 21*i - 6. What is p(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -459 + 1312. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7182 + 18. Let a be m\/(-54) + (-2)\/9. Suppose -4*h = -0*h - a. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2786586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 17*p + 1. Let m(v) = -2*v**2 - 35*v + 3. Calculate 7*c(l) - 3*m(l).\nAnswer: -l**2 - 14*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 8*n. Let v be ((-18)\/(-4))\/(n\/(-6)). Find the second derivative of -g**3 + 8*g**5 - 15*g - v*g + g**3 wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -16 + 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107060395*u**3 - 107060067*u**3 + 214120471*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*b**2*i*k + 7*b**2*k + b*i*k + 5*b*i - b*k + k - 1 wrt b?\nAnswer: -64*i*k + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 9) to base 14\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 20 = -4*l, 43 = l + 3*u + 31 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**4 - 746724*v**3 + 8213620*v**2 - 26133900*v + 18667000 = 0.\nAnswer: 1, 5, 186670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Let y(z) = 4*z**4 + 2*z**2 - 1. Let w(p) = 5*p**4 + 3*p**2. Let a(t) = b*w(t) + 3*y(t). What is the derivative of a(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1751.5 - 1869.646. Let n = q + 118. Let k = -0.145847 - n. What is k rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(4032) + -1)**2 + -1 - sqrt(4032))*-1.\nAnswer: -4034 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x**3 + 2*x**2 - 2*x - 2. Let g be q(-2). Suppose -5*v + g - 47 = 0. Calculate the remainder when 44 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 489 + -258. Calculate the greatest common factor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 59*f - 60*f - 4*o, -2*f - 16*o = 3*f - 121 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 + 38 - 8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 9526495438855.\nAnswer: 9526495438778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 1, c: 8, y: 7, r: 1}. Give prob of picking 2 c, 1 y, and 1 r.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpm when three letters picked without replacement from {r: 1, k: 1, d: 4, p: 1, m: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11658*g + 11658*g - 29*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 13.3\nAnswer: 6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 731*y - 711*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138896, 139255, 139628, 140021, 140440?\nAnswer: 140891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7331.1m to millimeters.\nAnswer: 7331100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16164 is divided by 5387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -y + 6, -2*i - 7114 = -y - 7126 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*b**2 + 5*b**3 + 118*b**2 + 68*b - 42*b + (4*b**2 - 4*b**2 - 2*b**3)*(1 - 4 + 1).\nAnswer: 9*b**3 + 3*b**2 + 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029636 to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let p = 1.4 - -5.6. Let j = 7.5 - p. Which is the nearest to 1? (a) z (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/498 and 117\/14?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.59 - -67. Let s = d + -0.82. Let r = 0.09 - s. Sort 2\/9, r, 3.\nAnswer: 2\/9, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112213, 224512, 336909, 449410, 562021, 674748?\nAnswer: 787597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i**2)*(-10 + 10 - 293*i)*(1 - i - 1).\nAnswer: -586*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -203?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 2, e: 4, t: 12, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + 2*a**2 + 5*a. Let k(x) = -5*x**3 + 3*x**2 + 7*x. Suppose 97*b - 18 + 518 = 15. What is b*k(t) + 7*l(t)?\nAnswer: 4*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -44?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(0 + 7) + -1. Suppose 0 = 3*n - 5*n - 4*x + 14, 5*n + 5*x = 55. Let u = b - n. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + u + 2*g = -2*u - 4, 5*g = 5 + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204298*y**2 - 1337710*y wrt y?\nAnswer: -408596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 95?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010001100100010101 - 0?\nAnswer: 100010001100100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 54. Let g = 20 - 20. Is 18 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91b - 0?\nAnswer: 91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 12:47 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 6457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -339, -260, -153?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 18. Let q(s) = -s**3 - s**2 + 10*s + 12. Let t be q(-2). Which is the second biggest value? (a) -1 (b) k (c) t (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/5 - 1484*o\/5 + 50832\/5 = 0.\nAnswer: 36, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2. Let d(k) = k**3 - k**2 - k + 1. Let v be d(1). Let h = -8 - -11. Let p(s) = h*s - s + v*s. Determine p(f(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295593657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 21, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 - 5*j**2 + 2. Suppose -4*f + 23 = 2*r - 27, f + 60 = 2*r. Suppose -9*w - 11 = -r. Let n(m) = 5*m**3 - 5*m**2 + 3. Calculate w*n(q) - 3*c(q).\nAnswer: -2*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758 divided by 2.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13803*l - 400301. Calculate o(-29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 6, u: 5, v: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 8*l**2 + 6*l. Let z be n(7). Let s = 8 + z. Does 40 divide -1 + (-4 - -187 - (-2 + s))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/7)*c**(23\/2)*(c**(-8\/5))**38 assuming c is positive.\nAnswer: c**(-3501\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**5\/15 + 11*v**4\/6 + 23*v**3\/9 + 342. Factor d(z).\nAnswer: -z**2*(z - 23)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -231 (c) -1\/5 (d) -684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303806192 is divided by 1511?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 64. Let 2\/3*l - 2\/9 + 8\/9*l**w = 0. What is l?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26727973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 32, 30, 28, 26, 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 + (3 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/25185 and 17\/2460?\nAnswer: 4130340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 15*g - 1029. What is the third derivative of 2584*z**3 - 2584*z**3 + 27*z**4 - 24*z**4 - 97*z**4 - g*z**2 wrt z?\nAnswer: -2256*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6599 = 3*p + 3*v + 35, v + 8732 = 4*p. Is p a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 5*r**4\/12 - 199*r**2. Let y(i) = -1 + 1 + 2*i**2. Calculate j(y(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 99?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171.56 - -153.9. Let m = 21.744 + x. Let b = m - 0.084. Is b < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i**2 + 6*i**2 - 4 - 3*i**2)*(0*i - 2*i + 6*i) to u*i**3 + w + g*i**2 + c*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -1065\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2\/19, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/125*(-10)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/18 - (-4 - (-12265)\/2475)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 (base 9) in base 11?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(2\/67)\/i))**(-7\/4)\/(i**(-22)*i)**19 assuming i is positive.\nAnswer: i**(106477\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1879444 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -29. Let c(q) = -q**2 + 61*q - 70. Let u(p) = 2*p**2 - 62*p + 72. Let d(a) = h*u(a) + 6*c(a). Find v such that d(v) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 2*p, -2*p + 0*i + 4*i - 28 = 0. Let k be (-14)\/p - 3\/6*1. Solve -m - k*u = 12, -5*m + 30 = -4*u + u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766, 803, 862, 943, 1046?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -28*b**5 + 5*b**4 - 13*b**3 - 5134*b. Let x(y) = -y**5 - 2*y**4 + 2*y**3. Let t(p) = j(p) + 6*x(p). Find the second derivative of t(c) wrt c.\nAnswer: -680*c**3 - 84*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -4 (b) 0.5 (c) 1\/8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 8788315.\nAnswer: -2636494.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b - 160?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.4, 4\/7, 1.798?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/376548 and 143\/60.\nAnswer: 1882740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**7\/210 + 7*d**5\/60 + 2*d**2 - 3*d. Let y(c) be the first derivative of j(c). What is the third derivative of y(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 4, 580840, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 13*z + 25 = 0. Suppose -z*m + 2*h = -62, -5 = 4*m + 5*h - 48. Suppose -2*w + 184 = 2*w. What is the remainder when w is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -383, -6\/25, -1\/3, -0.1 in decreasing order.\nAnswer: -0.1, -6\/25, -1\/3, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 5*v**2 + 4*v. Let a be p(4). Let l(k) = -k**3 + 6*k**2 - 4*k. Let n be l(5). Solve -n*i + a*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1276 - 1273. Solve 6*x + 4*x**2 + 8\/3 + 2\/3*x**g = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 20244?\nAnswer: 20253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*q + 19205 + 109289 = 477*q for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.41 - 6.41. What is the nearest to 1\/4 in 0.3, 2\/3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 2 + (-3*sqrt(1539) + 1)*1.\nAnswer: -27*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*w = -380*w + 4080 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 90 = 12*v. Let j be (-5)\/(v - 1)*-30. Let u = 30 - j. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -13944*q - 209151. What is z(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -616.2898 rounded to 1 dp?\nAnswer: -616.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.03 (c) 204 (d) 1\/173 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -1, 2 in descending order.\nAnswer: 5, 2, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2848*z + 5348*z - 13*z**2 - 348 - 2861*z = 0. What is z?\nAnswer: -348\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((-4)\/30)*(-6)\/(-35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.41877 and -0.2.\nAnswer: 1.883754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - 45\/(-18). Let t(f) = f + 5. Let d be t(-7). Let n = j - d. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 9, i: 9}. Give prob of sequence ooso.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44153237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/4, -2, 0, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) -5 (b) 0.4 (c) -0.26 (d) 1\/8 (e) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 12}. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(33)*2)\/sqrt(3)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*n - 17 = 0, 6 = 2*q - 2*n + 4*n. Is q\/(-12) + (-256)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**4\/4 + z**3 - 10*z**2 - 5*z + 61. Let u be x(-6). Solve -5 = 6*o - u*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -28, 3377 in increasing order.\nAnswer: -28, -2, 2, 3377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -241378 take away -2.5?\nAnswer: -241375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -7813?\nAnswer: -7813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minus -26.933?\nAnswer: 483.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/21 + 0 - -1. Let x = 556\/105 - w. What is the common denominator of -492*15\/1155 + 2\/(-11) and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111 + -101000111100111011100?\nAnswer: -101000111100001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/120 + 7*i**5\/15 - 19*i**4\/24 + 25*i**3\/3 + 50*i**2. What are the prime factors of d(27)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4977380 to the nearest integer?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 3*p + x + 11, 61*x + 120 = 36*p + 64*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-43680)\/1764)\/(-104))\/(5\/24)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-11)*n**(-6))\/(n**0\/n*n)**(2\/41) assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3682438698 to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -316*z + 1923. What is s(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -27. Let y be 132\/w + 2\/(-5). Solve 3*c = y*r + 17, -r - 10 = r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60012303?\nAnswer: 3, 13, 1538777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -23*x + 1. Let z(v) = 70*v - 4. Let n(w) = 17*l(w) + 6*z(w). Let j be n(9). Suppose -4*y + u - 36 = -j, -45 = -y + 5*u. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 65859010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:17 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7618*o**2 + 76*o**4 - 7618*o**2 - 93 wrt o.\nAnswer: 304*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 25. Let o be (-4)\/(-2)*(z - 3). Suppose -5*u + 21 = -o*p - 41, u - 3*p - 19 = 0. Solve 0 = -4*b + 2*b + u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 191058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/660 and -149\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -17*t + 3006. Suppose t*r = 495*r - 48. Which is the closest to -0.1? (a) r (b) -1\/4 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c - 6. Let x(q) = -2*q**3 + 13*q - 13. What is 13*n(z) - 6*x(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8*n**3 + 3)*(-2 + 0 + 1)*(0 - 2 + 1).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -64*x - 11. Let p be v(-9). Let y = p - 496. 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: What is the second smallest value in 3, -147, -1.39, -1?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-98)\/343 + 58\/7. Calculate the greatest common divisor of w and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**2 - 1\/2*t**3 + 169\/2*t - 57.\nAnswer: -(t - 2)*(t - 1)*(t + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**3 - 885*n**2 + 6410*n - 5520 = 0.\nAnswer: -184, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 606*p**2 - 16*p**3 - 606*p**2 + (-4*p**2 + p**2 + 2*p**2)*(2*p - p + p) - 15*p**3 + 15*p**3 + 22*p**3 as d*p**3 + w*p**2 + h*p + j and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3296 and 57322?\nAnswer: 94466656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19295\/2 - 9452. Let z = -196 + x. Let r be 4\/(-6)*1 + 1. Which is the third smallest value? (a) z (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100276829, 100276832, 100276835?\n\"Answer: 3*a + 100276826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 86. Solve 0 = -d*n - 0*n + 4*x + 20, -3*x = 2*n - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3419537, -2\/7, -1\/4 in ascending order.\nAnswer: -4, -2\/7, -1\/4, 3419537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1339200 and 61\/270.\nAnswer: 1339200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 - h + 9. Let n be m(-3). Suppose 3*x - n = r, x + 9 = 4*x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {b: 2, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*i**3 + i + 19?\nAnswer: -390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:32 PM?\nAnswer: 6:16 PM","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: b\"What is the qth term of 43, 293, 979, 2323, 4547?\n\"Answer: 37*q**3 - 4*q**2 + 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (-63 - 77) + -2 + 0 + 11 + -2.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 75, 177, 329, 537, 807, 1145?\n\"Answer: r**3 + 16*r**2 + 3*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*d**4 + 0*d + 2\/9*d**2 + 0*d**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -92\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2498, 19374, 65160, 154310, 301278, 520518, 826484, 1233630?\nAnswer: 1756410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 3*w**2 - 11*w - 5. Let u(q) = -9*q**3 + 12*q**2 - 45*q - 21. Let i(k) = -5*u(k) + 21*v(k). Factor i(t).\nAnswer: 3*t*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101011100010011011 (base 2) in base 13?\nAnswer: b0bc58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 6}. Give prob of sequence rr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-48) - 0*(-3)\/(-9). Factor -1\/3*b + 2\/3 - o*b**2.\nAnswer: -(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 16. Let p be o(5). Let w be 40\/(-220) - 46\/p. Suppose -3*x = -0*x - 2*s - 13, -21 = -5*x + 3*s. Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29436190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = 0, -3*m + f = -9. Suppose -3 = -m*o + 3. Find the second derivative of -29*v**2 - 27*v + 11*v + 5*v**o wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64054?\nAnswer: 2, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1220 times 1.37\nAnswer: 1671.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 0 + 4 + 1\/(-3). Determine u so that -t - 4\/3*u - 2\/3*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72679\/43088 - 2\/2693. Calculate the common denominator of b and (-19)\/((-342)\/(-54)) + 1\/(208\/450).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -774*q - 760. Give z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.09, 0, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -8 - 1\/2*o**2 + 0*o. Let c be 16\/(-6)*3\/2. Determine s(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/((-12)\/((-14400)\/30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -48*f - 405 + 535. Solve 10*j - f*j - 15 = 5*n, 0 = 2*j + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + k + 1. Suppose 2*j = 2 - 4. Let r be c(j). What is the tens digit of 2\/r + (-204)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2. Let g(i) = 41*i. Give g(q(d)).\nAnswer: -246*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 3*y**3 + 5*y**2 - 8*y + 2*y**3 + 2. Let q be o(4). Let r(g) = 2*g**q + 1 - 3*g**2 + 6*g**2 - 3*g. Determine r(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 1 - 50) + 22 + 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1104 - -765. Let d = 352 + o. Solve 0 = d*a - a + 48 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 0.06.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*z**3 + 29*z**3 + 25*z**3 - 4*z**2 + 1 to p*z**2 + c*z + k*z**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465 - 5*(-16)\/100*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1855 and 95?\nAnswer: 35245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12166075.\nAnswer: 5, 486643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -2 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1\/(-3) - 3760\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 1317.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 199112321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5608 + 5615.5. What is the nearest to 16 in -2\/19, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 36 = -r. Suppose -r*k + 13*k = 12. Solve -k*y - 5*h = 20, 0*y - 8 = 2*y + 2*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from vvvzeveeeezeeevz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*i - 16, 20*i - 5*u + 21 = 17*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgfgsggsg. What is prob of picking 3 g and 1 f?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 54?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 1433.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28895 + -28678. Calculate the greatest common divisor of 868 and g.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 - 4*w**2)*(111 + 173*w**2 - 111).\nAnswer: -346*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/15 - (-3)\/45)*-7962. Suppose 0 = -4*l + 15854 - c. Round l to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eedc (base 15) in base 16?\nAnswer: c5af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 427*f**6\/40 - 11683*f**5\/60 + f**2 - 2015. What is the third derivative of s(x) wrt x?\nAnswer: 7686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*r + 195. What is the highest common factor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*u + 389 = 252*u - 282*u - 2231 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let m(k) = -4*k + 1. Determine -m(p) - q(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2492469, -4984926, -7477383, -9969840, -12462297, -14954754?\n\"Answer: -2492457*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-628)\/304109)\/(-3 - (-370)\/130).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 24*q - 9. Let u = 363 - 369. Calculate the remainder when a(u) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -279, -398, -505?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, 0*v + 4*t - 56 = -2*v. What is the lowest common multiple of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 621*n + 3713. Determine o(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-27)\/n))\/(n\/(n*n**14*n)))**(-2))**(-14) assuming n is positive.\nAnswer: n**1232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**2 - 6*q + 8. Let o be 3 - 5\/((-10)\/6). Let b(d) = -23*d**2 - 17*d + 23. Let r(z) = o*b(z) - 17*g(z). Differentiate r(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264665.5ml to litres.\nAnswer: 264.6655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9575218 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 - 3*v - 6. Suppose 32 + 0 = 3*z - 5*l, -5*l = 5*z. Let y(b) = 8*b**2 + 4*b + 5. Let g(p) = z*y(p) + 3*m(p). Let g(t) = 0. What is t?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2413 + 8914997536.\nAnswer: 8914999949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a - 3. What is c(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46308 less than -15276?\nAnswer: -61584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 40485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 - 4*b**2 - b + 1. Let x(g) = g**3 - 8*g**2 - 13*g + 142. Let y be x(7). Calculate s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*r + 3*l - 35, -l + 3 = 0. Let p = 2 + -1. Let y(j) = 120*j + 1. Let m be y(p). What is the highest common factor of m and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1174*o + 701*o + 337*o + 3)*(2*o - 2*o - 2*o**2).\nAnswer: -4424*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -308 - 6*y**2 - 3*y**4 + y + 4*y**2 + 306 as x*y**4 + b*y**2 + m + v*y + o*y**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 18, u: 1}. Give prob of sequence xuxx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 1, v: 1, c: 4, y: 4, s: 1}. Give prob of sequence ty.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1566*o + 1301?\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/12 + 5*k**3\/6 - 41*k**2. What is f(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001010111 - 0?\nAnswer: -11101001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + o - 6. Let d(p) = 10*p**2 + 4*p - 31. Let g(h) = -2*d(h) + 11*n(h). Let s be g(-4). What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = 22. Let y(n) = -6*n**2 - n + 1. Let k(u) = 17*u**2 + 3*u - 3. Determine r*y(f) - 4*k(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -48 + -21 + (-11 - 0)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let t(s) = -11*s. Determine t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2\/3*f**3 - 6 - 5*f + 0*f**2. Differentiate b(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -21)*(-3)\/(-84)*14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2. Let s(d) = -48*d + 27. Suppose -2*n + 12 - 4 = 0. Let v(j) = -7*j + 4. Let u(a) = n*s(a) - 27*v(a). Calculate u(r(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (5 - 726\/55). Put -8, -4, f, 8 in decreasing order.\nAnswer: 8, f, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14389 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616 - 110. Suppose 8*c + 2*u = 4*c - i, 0 = -c - u - 124. Let k = 356 + c. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*o - 2)*(-4*o**3 - 19*o**3 - 3*o**3) to d + f*o**3 + q*o**4 + a*o + i*o**2 and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 0*y**4 + 1\/3*y**6 + 0*y**5 - 1\/2*y**2 - 3 + 0*y + 0*y**3. What is the second derivative of h(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45660 divided by -20?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, 1 t, and 1 x when four letters picked without replacement from xqsttss?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97903522 and 1882?\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 27*t - 11*t)*(0*t**3 - 3*t**3 + 2*t**3).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 40. Let p = o - -23. Suppose 0 = 4*k + 4*q - 552, 4*k - 5*k - p*q + 135 = 0. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-5))\/(1\/(-17)). Let b(w) = w**3 + 6*w**2 - 5. Let k be b(-6). Let g = k + l. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29158780843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 7) to base 13.\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 - q - 7. Let s be b(5). Suppose -s*f = -10*f + 15. Let x = -7 - f. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 4. Let t(b) = 33093*b. Give k(t(v)).\nAnswer: -66186*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9388316.\nAnswer: 2, 7, 59, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17563 + 3*m**2 + 17563 - 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2251742?\nAnswer: 2, 1125871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 14739.5916 seconds?\nAnswer: 0.170597125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/180 - i**4\/9 - 8*i**3\/9 + 3*i**2. Factor k(s).\nAnswer: -(s + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 = -5*y - 12, -5*y - 111 = -3*l. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-10 - (-15 - (-31 - -7))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 0 - (11224\/30 - 0). Let r = -371 - y. Is r > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Calculate the common denominator of 10\/24*1*508\/20 and (p\/9)\/(12\/172).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n - 4. Let k = 1 - n. Let z = 2\/625 + 1208\/13125. Put k, 1, z in decreasing order.\nAnswer: k, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -58\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 17*r - 4 = 0. Solve 4 = r*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 7, 26, 55?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154683.\nAnswer: 3, 1093, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7138299.\nAnswer: 3, 7, 37, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 96.5. Let f = x + 8.433. Let u = f + -11.933. What is the third biggest value in u, -0.4, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014846396 rounded to 5 decimal places?\nAnswer: -0.01485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1241255 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477209 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 29*i**2 - 6*i - 2. Let t(z) = -30*z**2 + 7*z + 1. Let o(l) = 3*j(l) + 2*t(l). Let w be o(-1). Let f = w + 52. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2339452588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/6 + 17. Put -1, k, 2 in descending order.\nAnswer: 2, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 688*x**3\/3 - 20162*x**2\/3 + 104648*x\/3 + 125504\/3 = 0 for x.\nAnswer: -1, 8, 37, 212\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 6 - -3) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49665.4 times 2.2\nAnswer: -109263.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 93750351468791\nAnswer: -93750351468791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from nxnllx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 < 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from ffffffxxxf.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3136)*6 + sqrt(3136))\/((-1*(-2*sqrt(77) + sqrt(77)))\/sqrt(11)).\nAnswer: -88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6468, -26112, -58852, -104688, -163620?\nAnswer: -235648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.9814 rounded to one decimal place?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 10*u + 11. Let o be i(-9). Suppose o*d - 14 - 132 = 0. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let f be 80\/36 + o\/(-18). Let h(r) = -4*r**2 - r**2 - f*r**2. Let k(i) = i. Determine h(k(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-336 + 31*w + 336 + 2*w - 2 + 2 + (w + 0*w + w)*(3 + 3 - 4) - 3*w + 3*w - 2*w + 0 + 0 - w)*(-w**3 + 3*w**3 + 0*w**3).\nAnswer: 68*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4 - (-4)\/(-1))*-1. Solve n + j*n = 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 735, 2851, 6379, 11319, 17671, 25435?\nAnswer: 34611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -5*m**3\/12 - 25*m**2\/2 - 1275. Factor p(l).\nAnswer: -5*l*(l + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1 - 3*v + 0*v**3 + 75\/2*v**2 + 7\/2*v**4. Differentiate x(u) wrt u.\nAnswer: 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u - 165. Let l(r) = 20*r. What is d(l(s))?\nAnswer: -220*s - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -106, 0, -5\/2 in descending order.\nAnswer: 15, 0, -5\/2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + (-2002)\/112)*-7.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1030, 1004, 966, 910, 830, 720, 574?\n\"Answer: -t**3 - 19*t + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/37)*v*v**36*(v\/(v**(-3\/13)\/v*v)*v)**(31\/4) assuming v is positive.\nAnswer: v**(104347\/1924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60975391, 60975392, 60975393, 60975394, 60975395, 60975396?\n\"Answer: p + 60975390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 - o**4\/4 + 5*o**3\/6 + 5*o**2\/2 + 9*o. Give d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58736578 is divided by 3745?\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 72 = -82. Let z = 0.2 - 0.6. Let s = z + 0.2. Is s less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let h be (-2)\/(-1 + (-3)\/(-9)). Suppose h*y = y - 4, 2*c - 6 = -y. Let f(n) = -c*n + 2*n**2 + 4*n. Calculate f(q(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + n - 4*n = 5, -3*h + 4*n = -18. Let b(a) = a**3 - 13*a**2 - 14*a + 9. Let r = -688 + 702. Calculate the lowest common multiple of h and b(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20372 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765 - -735. Let l be (-1)\/(((-81)\/12)\/((-9)\/q)). Is l smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 3*k**2\/2 - 4*k - 1. Let b = -1 + 1. Suppose -3*w + b*w - 9 = 0. Calculate a(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 0*x**2 + x**2. Suppose -3 = -2*z + 2*n + 7, 0 = 5*z + 3*n - 33. Let u(l) = 16*l**2 - z + 6 - 14*l**2. What is c(u(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose -t*s = -5*s. Suppose s*n - 3*n = -81. Calculate the remainder when n is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + 36\/15. Suppose -4*l = -3*l - r*u + 5, 0 = 3*l - u. Solve -1 = -2*b - 2*c + 1, l = b + 2*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68943 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -12*q + 13*q - 2*q**2 + 4*q**3 - 2*q**3 + 0*q**3. Let r be t(2). Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496357 is divided by 4719.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891778 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 5*p - 27, p - 5 = 0. Let x be 30\/5*-1*(s + -11). Suppose -8*z = -344 + x. What is the greatest common divisor of 85 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b = -1162*b - 806*b - 83336 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 39. Suppose -w + d - 3 = 0. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 1 = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r. Let w(l) = -1536896*l. Calculate w(p(n)).\nAnswer: -30737920*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93356.89um to kilometers.\nAnswer: 0.00009335689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*q = -3*q + 10, -5*d + 2*q + 4 = 0. Is d less than or equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 32*v = -29*v - 5642, 8469 = 3*u + 6*v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 5. Let u be g(-4). Let p be u\/(-3) - 10\/(-6). Suppose 12 = 2*c - 0. What is the highest common divisor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 125*r**2 - 68*r + 618. Let j be x(8). What is the greatest common divisor of j and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - sqrt(243)*2) + -4 + -1 + (sqrt(243) + 0)*-3*4)**2*-5.\nAnswer: -205460 - 5850*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-126*u + 2 - 2 - 828*u)*(18*u**2 - 17*u**2 + 2*u**3 + 4*u**3) to the form b*u**2 + o*u + p + z*u**4 + m*u**3 and give z.\nAnswer: -5724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*j + 48 + 52 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2712 is divided by 524?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -210*v**2 - 367315*v - 43725 = 0.\nAnswer: -1749, -5\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = k - 3*k + 3*z, 0 = 3*k + 4*z + 264. Let w = 106 + k. What is the remainder when 22 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1*-3 + -1. Let t = -742 + 744. Suppose 5*m + 3*h = 30, -3*m = -4*m - h + 6. Solve 3 = v + t*n, v - o*v = -n - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479484236?\nAnswer: 2, 3, 47, 59, 173, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 4, -44, -11.8, 3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 11*g**2 + g + 16. Let d be o(-11). Let q be d\/(20\/8) - -9. Let n = 3 - 5. Let x(w) = 16*w. Let t(r) = 3*r. Give n*x(k) + q*t(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 3}. What is prob of sequence bb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1373 + 2187. What is the smallest common multiple of h and 333?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -227039620, -227039621, -227039622, -227039623, -227039624?\n\"Answer: -n - 227039619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7843257 centimeters to millimeters.\nAnswer: 7.843257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/60 + v**4\/24 - 145000*v**3\/3 - 2*v**2. Let n be b(0). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 12. Suppose -k + 259 = 3*o, 4*o - 2*o = -k + 174. Suppose -f + o = g*f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 33*l + 33 = -5*f, 0 = f + l + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let d = -4 - 0. Let h = -4.982 + -0.018. Which is the nearest to 2\/5? (a) d (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:00 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -0.22 (b) -3\/5 (c) -3 (d) -1\/3 (e) 1389 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/5 + 8658*n**4\/5 - 901302*n**3\/5 + 25469422*n**2\/5 - 18267792*n + 87872184\/5 = 0. What is n?\nAnswer: 2, 51, 4223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24277 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/8 + -1*3. Solve -o*n = 2*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 + (-4504)\/(-32). Calculate the greatest common divisor of b and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -151*p. Let n(u) = -13*u**2. Give n(q(o)).\nAnswer: -296413*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10160, 10181, 10202, 10223, 10244?\n\"Answer: 21*u + 10139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 1298.\nAnswer: -363.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q, -k - 2*q + 19 = 4*k. Let j be (-3 - 12)*12\/(-5). Suppose k*w = 6*w - j. Solve -2*x + w = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-7*p**2 + 11*p - 11*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 2*u + 5168. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**2 + 41*h**2 - 15*h**2.\nAnswer: 94*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + 33 + (-33 - 31) + 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -32. Let v = a - 14. Suppose -3*l + 11*l - 48 = 0. Solve 3*t - t - l = v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25363*a + 25363*a - 13 - 50724*a + 11 + 2.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -i - 930, -2*i - 1503 + 339 = -5*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*v**2 + 254 + 265*v**2 - 81 + 156*v - 89 - 86 to the form m*v**2 + t + a*v and give a.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 23*d + 10. Solve 0 = v - d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3139 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, -30, -89, -174?\n\"Answer: -13*n**2 + 6*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(66)*3)\/sqrt(11)))\/(1*sqrt(98)*-1).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/28*9\/(-15). Let o = -47\/20 - a. What is the biggest value in o, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 41\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + -9 + (-3 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3534 divided by 62\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 57. Let j = t - 34. Is -2 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) + (-1 - -1). Suppose 5*y + g + 24 = 0, -10 = y - 2*g - 3*g. Let o = 10 - 9. Which is the nearest to o? (a) y (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - 2*d**2 + d + 4450. Let r be 4\/6 + 7\/3. What is v(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.2. Let v be 15\/25*(-2 - -7). Which is the closest to 1\/6? (a) v (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**4 + 6*q + 136 wrt q.\nAnswer: 24*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 2, -4*s = 4*v - 52. Suppose -3*f = -1 - v. Suppose -q - 108 = -4*h + f*q, 0 = 5*h - q - 135. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 31*c + 36. Let i be y(-28). Let d be ((-6)\/(-16))\/(i\/1600). Sort 0.9, -0.14, d in increasing order.\nAnswer: -0.14, 0.9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -1\/4 (b) 5\/3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 43*n**2 + 8*n - 757. What is u(0)?\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 5) to base 7\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 6 + -7 + (-4 - -7). What is the tens digit of 293*(7 + -5 - h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/225 - 2\/(-15). Let i(a) be the first derivative of a**4\/12 + a**3\/6 + 9*a**2\/2 - a + 3. Let t(b) be the first derivative of i(b). Give t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*w = 1, -7*w - 11 = 5*i - 9*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -51800164*l + 18 + 51800164*l - 233*l**2 in the form o*l**2 + s*l + x and give o.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + 3*s + 2*s**4 + s**4 - s + s + (-4*s**3 + s**3 + s**3)*(-s + 0*s + 0*s) - 4*s**4 + 6*s**4 + 0*s**4 + (-3*s - 2*s + 3*s)*(-3*s**3 + 0*s**3 + s**3).\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -16 + 4 - -13) + (49 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 1413 - 3987 = 0. What is the highest common factor of j and 4524?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 33 (b) 1\/7 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = i - 7, -2*k = 3532*i - 3527*i - 35 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6594*d**4*o + 5*d**4 + d**3*o + d**3 + 1914*d**2*o - 22*d**2 + d*o wrt d.\nAnswer: -158256*d*o + 120*d + 6*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - i = 34, h - 18 = 5*i. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - r - r - 2*r)*(-166 - 3 - 440 + 44) to the form u*r + p and give u.\nAnswer: 2260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 219*(-2620)\/(-19126) + 2\/7 + (-10)\/(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + 167\/(-4). Let l = c - -64. What is the least common multiple of 14 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*r = -925*r + 345*r + 291 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c53d (base 14) in base 10?\nAnswer: 149211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a3 - -3?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.3, 0.1, -2\/3, -114\/367 in increasing order.\nAnswer: -2\/3, -2\/5, -114\/367, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119738 and -19.\nAnswer: 2275022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -639*q**2 - 723*q**2 + 1252*q**2 + (-3*q + q + 0*q)*(-4*q + q + q) as y + v*q + c*q**2 and give c.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 263, 641, 1175, 1865, 2711, 3713?\nAnswer: 4871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 178587314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3781, 3592, 3403?\n\"Answer: -189*j + 3970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) 0.4 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 1\/24*c**4 - 1\/2*c**3 - 3*c**2 - 1\/12*c**5 + 0*c + 0. Let h(n) = n**2 + 1. Calculate -3*h(a) - x(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/54 and -67\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 25*c**2 + 2*c - 2*c.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 18. Suppose -3*t - 4 = -4*c + 8, -5*t - x = -5*c. List the prime factors of 1*c*640\/48.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 3, j: 11, o: 4}. What is prob of sequence pcoj?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2086.148 - -2090. What is h rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2) + 2 + -1 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/3 - 5*h**2 - 21*h - 29. Let r be f(-3). Let z(n) = n**3 - n**2 + n + 6. Give z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n - 4*v - 8, 0 = 2*n + 3*v. List the prime factors of -17*-1*15\/n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -28, -5\/3, 0.5.\nAnswer: -28, -5\/3, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 214, 323, 432, 541, 650?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101100010101 + 110001?\nAnswer: 1110101101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:24 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -850, -1703, -2554, -3403, -4250, -5095, -5938?\nAnswer: -6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 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: In base 14, what is 58 + -54ca58?\nAnswer: -54ca00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 6*n**2 + 0*n + 4*n**3 - 2*n - 3*n**3 - 6. What is m(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107048164, 214096321, 321144476, 428192629, 535240780, 642288929, 749337076?\nAnswer: 856385221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/3 - 1\/(-3). Is 14 a factor of 4*(-1)\/l + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**4 - 27*m**4 + 4 - 95*m + 31*m**2 + 98*m + 15*m**4 to the form n*m**3 + u*m**2 + o*m + t*m**4 + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 9*j + 6. Let u be c(-9). Let m(o) = 16*o**2 + 10*o. Let l(x) = 5*x**2 + 3*x. Give u*m(z) - 20*l(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/4 - 8*z**3\/3 + 4*z - 4. Let x = -7 - -15. Let y be w(x). Solve 9*m + 5 = y*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**2 + 7*p**2 - p**2 to the form s + u*p**2 + i*p and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b\/(b\/(b**(-1\/12)\/b)))\/b)\/b))**(5\/4))**(-6) assuming b is positive.\nAnswer: b**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 6059*g**4\/2 + 4925*g**3\/3 + 2041. What is the third derivative of b(u) wrt u?\nAnswer: 72708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(-6))\/11*-2. Let h = -0.564 + -0.436. Sort h, -2, n in ascending order.\nAnswer: -2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - ((-1127)\/7 + 1) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a286 (base 14) to base 5\nAnswer: -1343300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303005713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65684984473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -32?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -818*w**5\/5 + 364*w**2 - 1080. What is the second derivative of n(a) wrt a?\nAnswer: -9816*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/24 - 2*t**2 - 1. Let x(z) = 0*z**2 + z**2 + 4*z**2. Calculate x(v(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 3*u + 4. Let d be q(-4). Calculate the lowest common multiple of (d + 2)*(-1)\/(-2) and (-23)\/(-3) - 4\/(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10311 = 3*c - 3*q, -5*c - 2*q + 11381 = -5797. What are the prime factors of c?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 819524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -20, -0.5, -2, 4 in increasing order.\nAnswer: -20, -2, -0.5, 2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-10)*4\/(-12)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6449 - 1?\nAnswer: 6448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 17*x**2 - 9*x + 9. What is the smallest common multiple of 2637 and f(9)?\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*i**3 - 43*i**2 + 1508*i wrt i.\nAnswer: 120*i - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t - 2. Let a be 2\/(-20)*-44 + (-6)\/15. Let z(o) be the first derivative of -4*o**2 + 2*o + 7. Calculate a*z(x) + 5*k(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6165*c**2 - 137*c + 137. Let j(g) = -134*g**2 - 3*g + 3. Calculate 6*b(o) - 274*j(o).\nAnswer: -274*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2 - 2) + 1 + 4. Solve 2*v = -b + 3, -6 = 3*v - p*v - 2*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*v + 6, 0 = 5*c + 2*v + 2 + 4. Let a be (c + 2 - 0) + 0. What is the third smallest value in 0.5, a, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -493.4.\nAnswer: -497.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -3. Suppose -4*m + 2*n + 12 = 0, -5*m + w*n = -m - 16. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3865685*f - 2190744*f + 0 + 0.\nAnswer: -6056429*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:07 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 - -306. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. What is the tens digit of (10 - 0\/(-4))*k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0\/w))\/w)**(3\/31)\/((w*w**0\/w)\/(w\/((w\/(w**8*w))\/w)*w)) assuming w is positive.\nAnswer: w**(344\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1196945282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59624*x - 59608*x - 3*s = -90, 0 = x - 2*s - 1 + 3 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 8*m - 42. Let n be y(-12). Is 724 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -5*t - 167. Let s = -24 - t. Is s less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 612, 587, 562?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1085.5 and 924?\nAnswer: -1003002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 863, 10, 0, 408 in increasing order.\nAnswer: -5, -4, 0, 10, 408, 863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/((-324)\/30) - (-1773)\/27. What is the highest common divisor of 50944 and c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, 4*n - v = n + 90. Let m = n - 18. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:28 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Suppose q*a = -a, -3*i + 5*a + 54 = 0. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129*(-13)\/273 - (-5)\/(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(48)\/sqrt(4))*-6)\/((sqrt(2) - -1*sqrt(2))*6 - sqrt(2)*-1*4).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (4 - 9)) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*y + 1339 - 705*y - 141*y + 8030 - 59*y wrt y.\nAnswer: -881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -49*((-24)\/4)\/3. What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537113622 to the nearest integer?\nAnswer: 23176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 87*m - 1757. Let p(j) = -j**2 - j - 5. Let h(i) = 12*p(i) + r(i). Find the first derivative of h(n) wrt n.\nAnswer: -26*n + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 50 = -3*q + w, -2*w = q - 22. Sort 5, 4, q, 2 in descending order.\nAnswer: q, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-2 - (sqrt(39)\/sqrt(3) + -4))*3)**2.\nAnswer: -1800*sqrt(13) + 73269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1058111 divided by 479\nAnswer: -2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(3*sqrt(13)*1 + sqrt(13)) + 4*(2*sqrt(65))\/sqrt(5)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/1 + (-258)\/(-18)*9 and 18.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.04, -9, 4, -1\/4, 34, 0.029?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(8))\/(sqrt(22)\/(sqrt(6)\/sqrt(3)) + sqrt(11)) - (3*sqrt(405))**2*-6.\nAnswer: sqrt(5)\/4 + 21870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 821*b + 1810 + 2295 = 0. Put -7, b, 7 in decreasing order.\nAnswer: 7, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 1301123012?\nAnswer: 1301123024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 + 29*t + 3. Let n = 1087 + -1093. Determine q(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740 and 2590?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 - (-52)\/9. Let i(y) = -y**3 + 4*y**2 + 6*y + 1. Let k be i(g). Let h = -27 - k. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 1. Suppose -d = -5*d - 2*l + 72, 0 = -d + p*l + 18. Solve -3*x - d = 3*w, 5*x + w + 28 = -3*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0628 (b) 2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6269 - -1.0269. Let p = -3 + 5.5. Let b = p + -3. What is the third smallest value in x, -5, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522888 < 2522889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 215312464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:22 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -944.532\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-108)\/(-48) + 1\/(-4). Suppose 19 = c - 5*f - 0*f, f + a = 0. Suppose 0*i - i = n + c, -5*n - 3*i - 37 = 0. What is the nearest to 1 in 2\/11, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 14. Let k be m(11). Suppose k*i + 16 = 5*o, -3*i + 12 = 3*o - 4*i. Differentiate y - 7*y + o - 2*y + y with respect to y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) 0.3 (b) -1 (c) -2\/3 (d) -0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.7. Suppose 425 - 192 = -24*x + 113. Put 2, u, x in ascending order.\nAnswer: x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - 2*r)*(-2 + 3 + 0)*(r + 3 - 3)*(2135 + 725*r - 2135) in the form a*r**2 + g + x*r + f*r**3 and give f.\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 7559*x - 3358290 = 0?\nAnswer: -7085, -474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3173 and 56279.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/14, 5834, 1\/4 in ascending order.\nAnswer: 1\/4, 5\/14, 5834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than 11029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(98) + -5 + sqrt(98) + (sqrt(98) - (sqrt(98) + -1)) + -3))**2 + 0.\nAnswer: 784*sqrt(2) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4398 and 2\/83 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-40))\/(9\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11112*x**3 + 40*x**2 + 4*x + 1. Let j(r) = 11113*r**3 - 36*r**2 - 5*r. Let k(d) = 4*j(d) + 5*m(d). Find the third derivative of k(o) wrt o.\nAnswer: -66648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g = 37*g + 890 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 k, and 1 f when three letters picked without replacement from {p: 1, u: 5, f: 2, m: 7, k: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*x + 3 = -3*x, 8*x + 53 = h. Put 82, h, 2, 10, -0.3 in descending order.\nAnswer: 82, 10, h, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4237 - -25?\nAnswer: 4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17318, 17158, 16998, 16838?\nAnswer: 16678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12414 is divided by 207.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21645 and 2925?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/7)\/q**(3\/7))**19\/(q**(-3\/5)*q*q**(-3\/2)*q**0*(q**(-1\/7)\/q)\/q) assuming q is positive.\nAnswer: q**(-533\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 21*y**2 - y + 21. Let t(r) = r**3 + 11*r**2 - r + 11. Let q(m) = -5*t(m) + 3*u(m). Let v be q(-8). Let b = -6 - v. Solve 5 = b*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 60, 55, 50?\n\"Answer: -5*u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4931 + 153*r + 157*r - 480*r + 169*r to l + w*r and give l.\nAnswer: 4931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2415468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 + -275. Let l = a + 619. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8203, 8485, 8771, 9055, 9331, 9593?\nAnswer: 9835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-70545)\/9)\/(115\/(-69)) is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23205.52ml in litres?\nAnswer: 23.20552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 111*o - 107*o. Calculate the least common multiple of 6 and o.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m + 7*m + 0*m + m + 0*m + 0*m + (3 - 8 + 3)*(-m + 6*m - 3*m) - 3*m + 2*m + 3*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 2\/27, -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639988461 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 5972*c + 45 - 5966*c - 4*c**3 + 3*c**3 + 11939*c in the form u + m*c**3 + y*c + q*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) - (sqrt(19) - (-1 + sqrt(931))**2)) + 1.\nAnswer: -931 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8383.714 + 8318. What is o rounded to 1 dp?\nAnswer: -65.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806317, -806319, -806321, -806323?\nAnswer: -806325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:26 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19239552 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 874*d**3 + 450*d**3 + 425*d**3 + 8*d**2 - 3*d - 33. Calculate w(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/24 - 5*o**3\/6 - o**2 - 10. Let s(i) be the second derivative of i**3\/6 - 9*i**2\/2 - 220*i. Calculate -3*s(c) + 5*v(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2, -0.2743, -1\/2, 5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604 + 780 = -343*f + 5379 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t - 12. Let s = t - -12. Find o such that -10*o + 4*o**3 + 3*o**3 - s*o**2 + 4 + 3*o**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95352*j*m**2 - 4951*j + 15*m wrt m?\nAnswer: 190704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 2*d - 7. Let a(v) = -v**2 - v - 1. Suppose -3*r = -5*m - 2, 2*r = -3*r + 20. Let k(z) = m*a(z) + g(z). Give k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 1984?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(99))*1)**2 + 5 + -5)*-1 + 1 + -2.\nAnswer: -101 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4 + 0*r + 14 + 2*r. Is m(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:41 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66320, 132625, 198918, 265199?\n\"Answer: -6*v**2 + 66323*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ufuufuxxfufufxuiuxi.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 72. Suppose -38*i = -p*i - 5. Suppose -10 = -4*w + 3*k, -4*w + 2*k + 26 = 7*k. Solve 3*u + 18 = 2*q, 16 = -i*u - w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314485.4 rounded to the nearest 100?\nAnswer: 314500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -0.2, -12\/61, -1, 0.4 in descending order.\nAnswer: 55, 0.4, -12\/61, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2035\/3 > -677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 4*b - 3. Let y be x(-4). What are the prime factors of 20\/3*y\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a**2 - 8*a**4 + 164*a**4 + 24*a**4 + 72*a**2 wrt a.\nAnswer: 4320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 9*n + 4. Let f be z(-4). Suppose -352580 = f*k - 2844692. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002858 rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1191 = 4019. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 4. Let i(n) be the third derivative of n**6\/120 + n**4\/24 - n**3\/3 + 3*n**2 + 1. Determine i(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-1856)*6*28*2\/(-7)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9066 or -9064?\nAnswer: -9064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*z + z + 16 = 0, -5*t - 2*z - 17 = 0. Let x(a) be the third derivative of -a**4\/24 - a**3\/6 - 15*a**2. Let k be x(t). Solve -k*l + 5 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340221 and 714?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 17*m = -2*r + 328, -3*r - 5*m = -487. What is the highest common factor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 17 = 13*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2 + 7*v - 522. Let j(b) = 6*b**2 - 5*b + 346. Determine -7*j(t) - 5*x(t).\nAnswer: 3*t**2 + 188","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g**2 - 63*g**2 - 51*g**2 + 433237*g - 433237*g.\nAnswer: -143*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 4. Let u be 5\/(-3)*(1 - 4). Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from yzywuzyygywgu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oddoood. What is prob of sequence dooo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.093 + 0.093. Which is the second biggest value? (a) -0.3 (b) 3 (c) n (d) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*n*u**2 + n*u - 1887*n + 6*u**2 - 10*u + 92 wrt n.\nAnswer: -28*u**2 + u - 1887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 7)\/(-6))\/((-12)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**3 - c**2 - 4*c - 2. Let r be (4\/(0 + -4) - -3) + -3. Let i be z(r). Calculate the greatest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -0, 1 = 3*l + 2*c. Let t = 5 + l. Differentiate -j**3 - 1 + j**3 + t*j**3 wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3993)\/(-66))\/(-121))\/(((-6)\/4)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/19, 28, 9?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-12))\/(-7) - (-101)\/30. Suppose -9*x = -0*x - 36. Let u + 104\/5*z + 10*z**x + 228\/5*z**2 + 38*z**3 = 0. Calculate z.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/3 + 224\/327. Suppose 4*a - 69 = -n + 4*n, 2*a - 34 = 2*n. Suppose z - a = -5*r + 7, 5*r - 25 = -5*z. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*h - 5, -30*q + 3*h - 3 = -28*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v**2)*(5*v**3 + 5*v**3 - 9*v**3 + (-3*v + 0*v + 2*v)*(0*v - 2*v**2 + 0*v))*(-3 + 2 + 0)*(0 + 2 - 1).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.5474 millennia to years.\nAnswer: 876547.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 626 + -375. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + (-3 - 2 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -51, -2\/5, -0.3, 3\/2, -0.025?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.27 - 21.13. Let f = r + 0.4. Which is greater: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873443881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -109*u - 746. Is m(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(36))\/sqrt(12) - sqrt(33)\/(sqrt(33)\/sqrt(3)))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22866378.6 to the nearest one thousand.\nAnswer: -22866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*n + 4*n - 22, 0 = -3*n + 5*r + 2. Calculate the remainder when 31 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4146 = -4147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:31 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_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: Let q = -45 + 49. Solve -q*z = -2*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/907 + -923\/7256. Which is the nearest to 0.2? (a) 3\/8 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 9) to base 3\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*l**3 - 122*l**3 - 1 + 5*l + l**2 + l**4 to the form v*l**4 + k*l + x*l**3 + q + h*l**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 - 12\/(-108 + -36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + 82. Suppose 4*i - o = -13. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r + 1. Let u = 6 + -3. Let x be (u + (-3)\/1)\/2. Determine h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3 + 404*k**2 - 23552*k + 304704 = 0.\nAnswer: 18, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -632810 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149074 = 55*t - 452364 - 171525. Calculate the greatest common divisor of t and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 97457d?\nAnswer: -974564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, 35, 15, 5 in descending order.\nAnswer: 35, 15, 5, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1199\/18730?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) -4.6 (c) 1 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70.9 + -73. Let x = 5.1 + j. Which is the nearest to 4? (a) 4 (b) 1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k - 5*k - k + 115 + 41. Let y be s(0). Calculate the greatest common divisor of y and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*g + 1815 = -7465 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -72.903007389458.\nAnswer: -72.603007389458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14826, 39, -4.\nAnswer: -14826, -4, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*m - 4*n, -5*m - 8*n = -12*n - 45. Which is the biggest value? (a) 0.1 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 17947278?\nAnswer: 17947277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 + 169 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5041, 10082, 15143, 20224, 25325, 30446?\n\"Answer: 10*t**2 + 5011*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4 - 24*g - 2 - g + 6*g. Let b be (7\/4)\/((-3)\/12). Is j(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.3. Let r = s - 10.7. Let j = r - -10.89. What is j rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.158 and 0.19?\nAnswer: -0.03002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/50360 and 93\/80.\nAnswer: 100720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 705232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Let n = 23 + -14. Suppose o + z*o = n. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let m(o) = o**3 + 2*o**2 + 2. Suppose -2*c - 299 = -301. Determine c*m(v) + 2*p(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7414092.\nAnswer: 2, 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -67 (b) -5 (c) 0 (d) 2\/3 (e) 28 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 127, -4\/15 in descending order.\nAnswer: 127, 3\/2, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 3*r. Let i be q(6). Let o = 35 + i. Solve b + 3*n - 6 = 0, 0 = 5*n + 2 - o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603 (base 12) to base 15.\nAnswer: 3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) 2 (c) 0.15 (d) -165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74688 = -109*j + 1747*j + 696*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/8840*-78)\/((-75)\/40)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00835013 rounded to five dps?\nAnswer: -0.00835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Suppose a + 15 = 3*l, -3*l + 8*a - 4*a = -24. Suppose -12598 = -3*p - l*c + 3902, k*p - 16500 = -2*c. Round p to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4379 = -p - 16421. Round p to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - 84297*m - 84292. Give k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71556.957 seconds in hours?\nAnswer: 19.8769325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -257 - -259. What is the nearest to -1 in 1\/8, 39, 5, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(405) + sqrt(5))**2)*-5*4 + sqrt(80) + -2 + (sqrt(5) + -1 + sqrt(5))*-1.\nAnswer: -18*sqrt(5) + 9999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(18\/(-51)))\/(20\/(-204)). Let d = u + -173. What is c in 1\/5*c**2 - d - 1\/5*c = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 + n - 418*n**3 + 186*n**3 + 233*n**3 + 2*n**2. Let f = 6 - 8. What is j(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*25\/((-900)\/696)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41375 is divided by 1272?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115878 or -5.11?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21017 times 0.04\nAnswer: -840.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/29400603 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 799 and -0.0451.\nAnswer: -36.0349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, 217.\nAnswer: -2, 4, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**9\/1680 - a**5\/40 + a**4\/6 - 2*a**2. Let i(h) be the second derivative of x(h). Find the first derivative of i(t) wrt t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 18*g + 87. Let y be j(-15). Let z be (-1727)\/y*2 + 8\/(-2). What is the smallest value in z, -2, 3\/8, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*l - 241*l = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.802289 days in seconds?\nAnswer: 674117.7696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 + 9. Let j be t(0). Solve 19*w = -67 - j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -867*y + y**2 - 90*y**2 + 869*y - 2*y**2 + 0*y**2 + 4*y**2 - 3*y**2 + y**2 + 4*y**2 + 5*y**2 - 3*y**2 - y**2 + (-2*y**2 - 4 + 4)*(3 + 2 - 3).\nAnswer: -88*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 1311*v + 20839. Let o be g(-16). Let c(z) = 3*z + 5. Let w be c(4). What is the highest common factor of o and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(6\/12*-1). Which is smaller: 6\/19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than 5560.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.1107 days to hours.\nAnswer: 11138.6568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b - 4. Let s be j(-6). Let l be 28\/s - (-1 + 3). Solve -4 + l = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 748218.9m?\nAnswer: 748218900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2659626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1599\/6422 - 11\/286?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119197, 238398, 357599, 476800?\nAnswer: 596001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/7 + 14*f**3 + 244*f**2\/7 - 1448*f\/7 + 1104\/7 = 0.\nAnswer: -46, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*a**2 + 5 - 5 - 25*a**2 - 8*a.\nAnswer: -105*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/121 + -2473\/5566. Let v = 1\/23 + r. Suppose -6*k - 5 + 532 = -37*k. What is the third smallest value in k, 1\/3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a - 4. Let y be (-2 + 5)*a\/(-15). Let s be 7\/22 - (-3)\/(-6). Put -2\/3, y, s in decreasing order.\nAnswer: y, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3740311 (base 8) to base 2.\nAnswer: 11111100000011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-63)\/6)\/3 - 3\/(-2). What is the units digit of (w\/(-2))\/((-7)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 12 = 4*a, -2*x + 4*a - 12 = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 + 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 3888?\nAnswer: -3889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1*10)*2\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(1372) + 0 + -1*sqrt(14)\/sqrt(2) + -1)**2.\nAnswer: -156*sqrt(7) + 7108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969852279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 28, -180, -5, 5, 104, 2 in descending order.\nAnswer: 104, 28, 5, 3, 2, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000179336 to six decimal places.\nAnswer: 0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 158*v - 5213. Calculate r(32).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7172 - 7161. Let c(n) = n - 3. Let m be c(4). Calculate the highest common factor of m and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.91877 - -0.08123. Let z = 6.3 + -1.3. Put 1\/3, j, 0.09, z in decreasing order.\nAnswer: z, j, 1\/3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y + 11. Let l be n(8). Suppose 0 = 3*a + l*h - 30, 3*h = 2*h + 2. Is a smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 7*o. Let b(g) = g. Suppose 5*a - 2*f = -19, 3*f + 2*f - 1 = -3*a. Let u(y) = a*b(y) + i(y). Find the second derivative of u(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389307516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24754113 - 5?\nAnswer: -24754118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*h**2 + 346*h**2 - 177*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68\/11 - -226\/33. Factor v*w**2 + 4\/3*w - 2.\nAnswer: 2*(w - 1)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/6 + 75*z**4\/4 - z**3\/3 + 687*z**2 + 1. Let r(f) = -f. Determine x(r(d)).\nAnswer: -10*d**2 - 450*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 3 + x**3 + 2*x - 3*x**2 - 2*x**2. Let s be z(5). Suppose -c + 5*c + 2*u - 8 = 0, 2*c = -3*u + s. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 58. Let w = 46 + i. Suppose 5*a = -h + w, -7*h + 2*a = -3*h - 62. Calculate the remainder when 61 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + g = -v + 21, -4*v + 2*g = -30. Suppose -9*o = -v - 66. Calculate the remainder when 79 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)**(9\/2)*(r**0*r)\/(r*(r\/r**(-2)*r*r*r)\/r) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -638 - -650. Suppose -x - 24 = -12*a. Solve 3*o = -4*z + 24, -a*o + 3*z = -z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*i - 67*i - 12*i)*(-2*i + i - i) in the form h*i + z + n*i**2 and give n.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -11, -5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4242963, -8485927, -12728891, -16971855?\nAnswer: -21214819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q**2 + 17*q - 17. Let p(z) = 13*z**2 - 18*z + 18. Let v(j) = 7*f(j) + 6*p(j). Let d(y) = y**2 - 2*y + 2. What is -11*d(o) - 2*v(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238404218 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35667 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11819 is divided by 3939.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 33*q**3 - 988*q**2 - 26220*q - 25200 = 0. Calculate q.\nAnswer: -42, -20, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16\/99, 0.4, -16, 5, 3\/5 in ascending order.\nAnswer: -16, -5, -16\/99, 0.4, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5135 - 2571 + 3*f**2 - 2564. Let r(y) = 58*y**2 - 3. Determine l(r(p)).\nAnswer: 10092*p**4 - 1044*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/5 + 2174*j**2\/5 + 97508*j\/5 + 186312\/5.\nAnswer: -(j - 2218)*(j + 2)*(j + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2355 - -a18?\nAnswer: -173b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*v + 63*v - 404. Suppose 111 = -d + 5*q, -9*d + 5*q - 455 = -4*d. Let b = d + v. What is the greatest common divisor of b and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42627.887714 minus -45?\nAnswer: 42672.887714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s - i = -295, i = 3*s + 220. Let k be 1*((-4)\/10 + 45\/s). Sort k, 0.6, 0.4, 1.8 in increasing order.\nAnswer: k, 0.4, 0.6, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153414 divided by 2841\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8*g - 16 = -5*w, 5*g + 3*w - 17 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330371946.\nAnswer: 2, 3, 71, 28723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 5*p + 8. Let n be t(-6). Let s be n\/12 - (-5)\/(-30). Find the third derivative of 3*m**2 - m**5 + 10*m**3 - s*m**3 wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + d0b92a?\nAnswer: d0b929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.1048116 to 2 dps.\nAnswer: -19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2352866*w**2 + 4705716*w**2 - 2352843*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -51.895. Let x = 0.005 - n. Let r = -1.9 - x. Which is the third biggest value? (a) r (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 20*v + 108. Let n be u(12). Solve -2*y + n = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47d695 (base 14) in base 9?\nAnswer: 4554557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 23*n**3 + 1 + n**4 - 566*n**2 + 1129*n**2 - 561*n**2 in the form z*n**4 + m*n + v + s*n**3 + c*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 106 - -45?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 744903 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -w + 337, 9*w + 4*p + 342 = 10*w. What are the prime factors of w?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + o - 3, 2414*c - 4 = 2409*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Suppose 2*o - 18 + 6 = 0. Let h be ((-1)\/10)\/(o\/(-224)). Let w = h + -17\/5. Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -969 + 968 - (0 - (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -ba55e5?\nAnswer: ba55e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3006380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5108 + -5108. Solve y = 307*a - 314*a - 42 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-25)\/10)\/(2\/(-20)). Let x = h + -35. What is the common denominator of (-6)\/x*(-15)\/2 and 13\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - g = -48, 5*i = -4*g - 87 - 46. Let x = i + 14. Let c = x - -18. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose z = t*z - 27. Differentiate 6 - 15 + a - a + z*a**2 wrt a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/((-15)\/7)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 68*y**2 + 732*y - 183. What is p(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1 + 9*m - 5*m + 14*m. What are the prime factors of s(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 9) to base 11\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162550 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 - -4.39. Let o = 0.49 - p. Which is the nearest to 0.1? (a) o (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Suppose v*a - 16 = 4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316449.\nAnswer: 3, 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 16*q - 5*d = -210, -4*q - 5*d = -290. What is the smallest common multiple of q and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/11 - 2\/11. Let y be (1 - (-4 - -4))\/(-7 - -2). What is the nearest to -1 in y, r, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231361034 - 21?\nAnswer: -231361055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*a*r**2 + 7*a*r - a - 156197*r**3 - 2*r**2 - 1503045*r - 2 wrt r.\nAnswer: 610*a - 937182*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3847 - 2231. Calculate the greatest common factor of b and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.099 and -816.9.\nAnswer: -816.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2 - 1)*-6. Let f be m\/(-5) + (-66)\/(-40). Determine u, given that 1 + 39\/4*u**4 - 67\/4*u**3 - 6*u - f*u**5 + 57\/4*u**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 3626184.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 + 20 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -144471 less than or equal to 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*q - 4, -3*i + 2 = -q + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (978\/(-8))\/((-462)\/1848). Do 482 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -4.3. Let k = 0.8 + 0.2. Let h = 0.2 - 0.2. Which is the nearest to h? (a) k (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 0.5, -0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let u(r) be the third derivative of -2*r**6\/45 + 4*r**3 - r**2 - 32. Let x(w) be the first derivative of u(w). Determine j(x(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 129 - 132*z.\nAnswer: -132*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/7, 20, 3\/8, 3, -16.523 in ascending order.\nAnswer: -16.523, 3\/8, 12\/7, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*n = 14, -2*n + 4 = 3*w - n. Factor -30*s - 6*s**3 - 8 - 10*s**w - 17*s**2 - 3 + 2.\nAnswer: -3*(s + 1)*(s + 3)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-24)*-1*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71280.24ml?\nAnswer: 71.28024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-165))\/(-4 - 102\/(-36))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636663?\nAnswer: 3, 23, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*p**5 + 64\/3*p**4 + 104\/3*p**2 - 164\/3*p**3 + 0 + 0*p = 0. What is p?\nAnswer: 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*q**3 + 712*q**3 + 1064*q**3.\nAnswer: 2518*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 less than -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.5. Let n be 5*(-13)\/((-390)\/96). Let z be n*5\/30 + (0 - 2). Put a, -0.045, z in increasing order.\nAnswer: -0.045, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6963*t + 55694. What is h(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37\/4*z + 19\/4 + 17\/4*z**2 - 1\/4*z**3.\nAnswer: -(z - 19)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwidwwjzwiwwiwii. What is prob of picking 1 j, 1 z, 1 d, and 1 i?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*b = 3880 + 3365 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**4 - 36*s**3 - 28*s**2 + 36*s - 4. Let j(c) = c**4 + c**3 + c**2 - c. Let b(q) = a(q) + 20*j(q). Solve b(t) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*n + 52 = 0, -4*x + 59 + 69 = 2*n. Suppose -x*t + 15916 = -39368. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47088 is divided by 1247.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4313 and 3643123.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 9:55 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10127\/134196 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*f - 84. Sort -2, 4, f in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 6*b + 4. Let x(k) = 9762*k**2 - 48810*k + 32540. Give -8135*q(m) + x(m).\nAnswer: 1627*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*x + 1960 = 0, 2636 - 681 = 5*h - 2*x. Suppose -89 + h = 6*r. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/14 + 12\/(-21). Solve i + 18 = 2*i + v*c, 3*i - 24 = -3*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 1, l: 1, o: 2, m: 2}. Give prob of picking 1 m, 1 w, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7 - (8 - (-22 - -28))) + 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, g: 2}. What is prob of picking 2 y and 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/(-48)*15\/(-10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 90 = 314. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 61*g + 1\/135*g**6 + 2\/9*g**2 + 1 - 1\/18*g**5 - 7\/27*g**3 + 1\/6*g**4. Factor q(z).\nAnswer: 2*(z - 2)*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (-5 + 1 + 2). Suppose p + h = -3*y, 0*p + p - 4 = 3*y. Let d = -292 + 290. Which is the closest to p? (a) 3\/7 (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10210002010100 (base 3) to base 13\nAnswer: -5546ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5568 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 313 = 1567. Let s = k + -102. Solve 3*r + s = 0, 4*u = -2*r + 5*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3200 - -4503. What are the prime factors of s?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w**4 - 1\/2*w**2 + 1\/10*w**5 - 1\/2*w**3 + 0*w + 5. Factor d(j).\nAnswer: j*(j - 2)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*u - 13478 = -359*u - 288*u for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 17 - 115)*(2*d + 3*d - 6*d).\nAnswer: 189*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112098 is divided by 112097.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}